Online Education NCERT Solutions for Class 9 Science Chapter 10 Gravitation

Online Education NCERT Solutions for Class 9 Science Chapter 10 Gravitation

These Solutions are part of Online Education NCERT Solutions for Class 9 Science. Here we have given NCERT Solutions for Class 9 Science Chapter 10 Gravitation. LearnInsta.com provides you the Free PDF download of NCERT Solutions for Class 9 Science (Physics) Chapter 10 – Gravitation solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter 10 – Gravitation Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks.

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NCERT TEXT BOOK QUESTIONS

IN TEXT QUESTIONS

Question 1.
State the universal law of gravitation. (CBSE Sample Paper, CBSE 2010, 2011, 2012, 2013, 2015)
Answer:
The force of attraction between two particles or objects is

  1. directly proportional to the product of the masses of the objects and
  2. inversely proportional to the square of the distance between them.

Question 2.
Write the formula to find the magnitude of the gravitational force between the earth and an object on
the surface of the earth. (CBSE 2011, 2012, 2013)
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 1
where M = mass of the earth, m = mass of the object, R = radius of the earth.

Question 3.
What do you mean by free fall ?

Or

What is meant by free fall ? (CBSE 2010, 2011, 2012, 2013)
Answer:
When an object falls towards the earth under the influence of gravitational force alone, then the object is in free fall.

Question 4.
What do you mean by acceleration due to gravity ? (CBSE 2011, 2012, 2013)
Answer:
The acceleration with which an object falls freely towards the earth is known as acceleration due to gravity. It is denoted by ‘g’.

Question 5.
What is the difference between the mass of an object and its weight ?
(CBSE 2010, 2011, 2012, 2013)
Answer:

Mass Weight
The quantity of matter contained in a body is called the mass of the body. The force with which the earth attracts a body towards its centre is called the weight of the body.
Mass of a body remains constant. Weight of a body changes from place to place as it depends on the value ‘g’ and ‘g’ is different at different places.
Mass of a body is never zero. Weight of a body at the centre of the earth is zero.
Mass is a scalar quantity. Weight is a vector quantity.
Mass is measured in kg. Weight is measured in kg wt or N.
Mass is measured by a beam balance. Weight is measured by a weighing machine or a spring balance.

Question 6.
Why is the weight of an object on the moon 1/6 th its weight on the earth ?
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 2

Question 7.
You find your mass to be 42 kg on a weighing machine. Is your mass more or less than 42 kg ?
Answer:
Weighing machine gives the weight of an object.
Weight = Mass x g
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 3
Thus, mass is less than the weight.

NCERT CHAPTER END EXERCISE

Question 1.
How does the force of gravitation between two objects change when the distance between them is reduced to half ? (CBSE 2011)
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 4
Thus, the force of gravitation becomes 4 times its original value.

Question 2.
Gravitational force acts on all objects in proportion to their masses. Why, then, a heavy object does not fall faster than a light object ? (CBSE 2015)
Answer:
The acceleration with which a body falls towards the earth is constant (= 9.8 m s-2) and independent of the mass of the body. Thus, all bodies fall with the same acceleration irrespective of their masses. That is why, a heavy body does not fall faster than the light body.

Question 3.
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface ?Mass of the earth is 6 x 1024 kg and radius of earth is 6.4 x 106 m.
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 5

Question 4.
The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth ? Why ?
Answer:
Gravitational force with which a body A attracts another body B is equal in magnitude and opposite in direction to the gravitational force with which a body B attracts the body A. Thus, the magnitude of force with which the earth attracts the moon is equal to the magnitude of the force with which the moon attracts the earth. Thus, both the earth and the moon attract each other with equal forces.

Question 5.
If the moon attracts the earth, why does the earth not move towards the moon ?
(CBSE 2011, 2013, 2015)
Answer:.
The acceleration produced in the earth due to the force exerted on it by the moon is very small as the mass of the earth is very large. Hence, the movement of the earth towards the moon is not noticed.

Question 6.
What happens to the force between two objects, if

  1. the mass of one object is doubled ?
  2. the distance between the objects is doubled and tripled ?
  3. the masses of both the objects are doubled ? (CBSE 2011, 2013, 2014)

Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 6

  1. F is doubled if m1 or m2 is doubled.
  2. F becomes 1/4 times the original value if distance (r) is doubled and F becomes 1/9 times the original value if r is tripled.
  3. F becomes four times the original value if both m1 and m2 are doubled.

Question 7.
What is the importance of universal law of gravitation ?
Answer:
The gravitational force plays an important role in nature

  1. All the planets revolve around the sun due to the gravitational force between the sun and the planets. The force required by a planet to move around the sun in elliptical path (known as centripetal force) is provided by the gravitational force of attraction between the planet and the sun. Thus, gravitational force is responsible for the existence of the solar system.
  2. Tides in oceans are formed due to the gravitational force between the moon and the water in oceans.
  3. Gravitational force between a planet and its satellite (i.e., moon) decides whether a planet has a moon or not. Since the gravitational force of the planets like mercury and venus is very small, therefore, these planets do not have any satellite or moon.
  4. Artificial and natural satellites revolve around the earth due to the gravitational force between the earth and the satellite. The gravitational force between the earth and the satellite provides a necessary centripetal force to the satellite to move in a circular path around the earth.
  5. The atmosphere (envelope of gases) of the earth is possible due to gravitational force of the earth.
  6. Rainfall and snowfall is possible only due to gravitational force of the earth.
  7. We stay on the earth due to the gravitational force between the earth and us.

Question 8.
What is the acceleration of free fall ?
Answer:
Acceleration of free fall = 9.8 m s-2 ≈ 10 m s-2.

Question 9.
What do we call the gravitational force between the earth and an object ?
Answer:
Force of gravity.

Question 10..
Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought ? If not, why ? (Hint: The value of g is greater at the poles than at the equator) (CBSE 2012, 2013)
Answer:
Weight = mg
Since value of g is greater at the poles than at the equator, so the weight of gold at the poles will be greater than the weight of gold at the equator. Hence, his friend will say that the weight of the gold is less than as told by Amit.

Question 11.
Why will a sheet of paper fall slower than one that is crumpled into a ball ?
Answer:
Since the area of a sheet of paper is more than the area of the paper crumpled into a small, therefore, a sheet of paper will experience a large opposing force due to air than the ball, while falling down. Hence, a sheet of paper falls slower than one that is crumpled into a ball.

Question 12.
Gravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth.

Or

What is the weight in newtons of a 10 kg object on the moon and on the earth ?
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 7

Question 13.
A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate
(i) the maximum height to which it rises,
(ii) the total time it takes to return to the surface of the earth.
(CBSE 2011, 2013, 2014)
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 8
The ball takes the same time to reach the ground from maximum height as time of ascent is equal to time of desent.
Total time taken = 5 s + 5 s = 10 s.

Question 14.
A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground. (CBSE 2011, 2013)
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 9

Question 15.
A stone is thrown vertically upward with an initial velocity of 40 m/s and is caught back. Taking g = 10 m/s2, find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone ?
(CBSE Sample Paper 2010; CBSE 2011, 2012, 2013)
Answer:
Here, u = 40 m/s,
g = -10 m/s2 (sign convention) v = 0 (at the maximum height)
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 10
(ii) The stone after reaching the maximum height falls down and reach the ground.
Displacement of the stone = 0
and distance covered by the stone = 80 m + 80 m = 160 m.

Question 16.
Calculate the force of gravitation between the earth and the sun, given that the mass of the earth = 6 x 1024 kg and of the sun = 2 x 1030 kg.
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 11

Question 17.
A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet ?
Answer:
Let t = time after which both stones meet .
S = distance of the stone dropped from the top of tower
(100 – S) = distance travelled by the projected stone.

NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 12
(iii) Put value of t = 4 s in equation (i),
S = 5 x 16 = 80 m
Thus, both the stones will meet at a distance of 80 m from the top of tower.

Question 18.
A ball thrown up vertically returns to the thrower after 6 s. Find
(a) the velocity with which it was thrown up,
(b) the maximum height it reaches, and
(c) its position after 4 s. (CBSE 2011)
Answer:
NCERT Solutions for Class 9 Science Chapter 10 Gravitation image - 13

NCERT Solutions for Class 9 Science Chapter 10 Gravitation

Hope given NCERT Solutions for Class 9 Science Chapter 10 are helpful to complete your science homework.

If you have any doubts, please comment below. Learn Insta try to provide online science tutoring for you.

The Bishop’s Candlesticks Extra Questions and Answers Class 9 English Literature

Online Education The Bishop’s Candlesticks Extra Questions and Answers Class 9 English Literature

Here we are providing Online Education The Bishop’s Candlesticks Extra Questions and Answers Class 9 English Literature Reader, Extra Questions for Class 9 English was designed by subject expert teachers. https://ncertmcq.com/extra-questions-for-class-9-english/

Online Education for The Bishop’s Candlesticks Extra Questions and Answers Class 9 English Literature

The Bishop’s Candlesticks Extra Questions and Answers Short Answer Type

Answer the following questions briefly.

The Bishop’s Candlesticks Questions And Answers Question 1.
Although it was quite late at night why had the Bishop not returned?
Answer:
The Bishop had gone out to see Marie’s mother who was unwell. He had gone to pray with her and to call in . the doctor to see her. Thus he had not returned.

The Bishop’s Candlesticks Short Questions And Answers Question 2.
Why does Persome feel people pretend to be sick?
Answer:
Persome feels that people pretend to be sick to have the Bishop call on them as they are fond of him.

The Bishop’s Candlesticks Extra Questions And Answers Question 3.
What did the Bishop give Marie as she was going out? Why? What trait of the Bishop’s character does it highlight?
Answer:
As Marie was going out, the Bishop gave her his comforter, as it was a cold and windy night. This shows the Bishop to be a caring and a generous person.

The Bishop’s Candlesticks Questions And Answers Class 8 Pdf Question 4.
Why were the doors in the Bishop’s house never bolted?
Answer:
The doors in the Bishop’s house were left open so that anyone needing help could come in freely, at any time.

The Bishop’s Candlesticks Long Questions And Answers Question 5.
Who was Jeanette? What was the cause of her death?
Answer:
Jeanette was the convict’s wife. The cause of her death was starvation and sickness.

The Bishop’s Candlesticks Questions And Answers Pdf Question 6.
The convict says, “I am too old a bird to be caught with chaff.” What does he mean by this statement?
Answer:
The convict means that he is too experienced a person to be trapped by soft, gentle words.

Bishop Candlesticks Question And Answers Question 7.
Why was the convict sent to prison? What was the punishment given to him?
Answer:
The convict had stolen money to buy food for his dying wife. He was sentenced to a prison ship where he was chained like an animal and fed on filth. He was lashed if he complained.

The Bishop’s Candlesticks Questions And Answers Class 9 Question 8.
Why is the convict eager to reach Paris?
Answer:
The convict is a runaway prisoner. If he reaches Paris, which is a big city, he can get lost there and that the police would not able to find him.

Bishop’s Candlesticks Question And Answers Question 9.
Before leaving, the convict asks the Bishop to bless him. What brought about this change in him?
Answer:
The Bishop’s kindness and faith in him and his forgiveness brought about a change in the conviet.

The Bishop’s Candlesticks Extra Questions and Answers Long Answer Type

The Bishop’s Candlesticks Questions And Answers Class 9 Pdf Question 1.
What is the theme of the play “The Bishop’s Candlesticks”?
Answer:
The play deals with the redemption of a soul through love and forgiveness. The convict, who was sent to the prison ships for stealing money to buy food for his sick wife, was treated inhumanely. He was chained and lashed with whips. This inhuman treatment turned the man into a beast who was ready to steal and kill. The kind-hearted and benevolent Bishop, always ready to lend a helping hand to anyone in distress, softened the convict’s heart.

His love and compassion turned the beast into a man again. Touched by the Bishop’s forgiveness, the convict sought his blessings. Thus, the play also brings the message that the aim of punishment should be reformation of the wrongdoer through making him realise his guilt and not turning a law-abiding citizen into a criminal.

The Bishop Candlestick Question Answer Question 2.
The convict says, “They have made me what I am, they have made me a thief.” Explain the circumstances that made the convict a thief.
Answer:
Ten years ago, the convict lived in a small cottage with his wife, Jeanette. His wife fell seriously ill. At that time the convict was without a job. Jeanette needed food and medicine. So he stole money to buy her food. He was caught and sent to the prison ships. Here he was treated very badly. He was chained and lashed with whips. He was treated not like a human being but as an animal. His name and soul were taken away from him. This inhuman treatment changed the man into a beast.

The Bishop’s Candlesticks Reference To Context Question 3.
Describe the Bishop in your own words with examples from the lesson.
Answer:
The Bishop is a loving and self-sacrificing person. The people in the parish send for him whenever they are in trouble and he rushes to their aid in all kinds of weather, unmindful of his personal comfort. So much so that he has sold all his possessions, except for a pair of silver candlesticks given to him by his dying mother, to help the poor. His sister Persome says, “His estate is sold, his savings have gone. His furniture, everything. Were it not for my little dot we should starve!” The Bishop is a caring person and he wraps his comforter around Marie when she is about to go out into the cold night air.

The Bishop’s innocence and naivete often earn for him the anger of his sister, Persome. But he gently remarks, “If people lie to me they are poorer, not I.” Being a compassionate man, the Bishop is heard lamenting, “There is so much suffering in the world, and I can do so very little.” He is kind and generous towards the convict. The convict enters his house stealthily, threatens him with a knife, and after receiving food and hospitality from the Bishop, steals his candlesticks.

But when the gendarmes bring him back to the Bishop’s house, the Bishop claims he has given the candlesticks to the convict. It is this compassion that changes the convict. The Bishop is also a deeply religious and pious man. He advises the convict to lead a good life as “this poor body is the Temple of the Living God.”

Question Answer Of The Bishop’s Candlesticks Question 4.
The Bishop’s sister is more practical than him. Discuss the character of Persome as seen in the play.
Answer:
The Bishop’s sister, Persome was more practical in many ways as compared to her brother. She was a short tempered woman who is seen quick to rebuke and is also found getting angry at Mere Gringoire for asking money from her brother. Most of her faults seem to be borne out of her live and concern for her brother. She loves her brother to a fault and is very protective of him. She feels people take advantage of his kindness and generosity.

She is more practical because unlike her brother, the bishop who sees no merit or value in the treasures of the world but only cares for people. She, on the other hand, is shrewd because she feels she has to take of her brother and fend off people from taking advantage. She sees her brother’s act of selling the silver salt shakers as irresponsible because it was a valuable item. She also disapproves of her brother giving away all their possessions to help other people because that way they would have nothing left. She is practical in worldly and materialistic matters.

The Bishop’s Candlesticks Extra Questions and Answers Reference to Context

Read the extracts given below and answer the questions that follow.

Bishop’s Candlesticks Questions And Answers Question 1.
“Monseigneur, the Bishop is a… ahem!”

(a) Who is the speaker? Who is being spoken to?
Answer:
Persome is the speaker here. She is speaking to the maid, Marie

(b) Why does the speaker not complete the sentence?
Answer:
Persome does not complete the sentence as she did not wish to criticize the Bishop in front of Marie.

(c) What is the meaning of the word monseigneur?
Answer:
The word ‘monseigneur’ is a title that is given to senior Roman Catholic priests and officials.

The Noble Bishop Question Answers Question 2.
“She sent little Jean to Monseigneur to ask for help. ”

(a) Who sent little Jean to the Bishop?
Answer:
Mere Gringoire sent little Jean to the Bishop.

(b) Why did she send Jean to the Bishop?
Answer:
She needed money for rent and knew that he was a generous person thus she sent him to the Bishop.

(c) What was Persome’s reaction?
Answer:
Persome was angry with Mere Gringoire’s impudence.

Question 3.
“I offered to take her in here for a day or two, but she seemed to think it might distress you. ”

(a) Who wanted to take whom in and why?
Answer:
Bishop wanted to take in Mere Gringoire because she was unable to pay the rent of her house.

(b) Define the word ‘distress’?
Answer:
It means that Mere Gringoire was under extreme difficulty and anxiety.

(c) Persome would be distressed on Mere Gringoire’s being taken in because.
Answer:
Persome felt that Mere Gringoire was taking undue advantage of the Bishop.

Question 4.
“You have your soul to lose, my son; it is of more value than my heart. ”

(a) Why do you think the convict will lose his soul?
Answer:
The bishop tells the convict that he has his soul to lose if he commits a crime.

(b) What do these lines show about the speaker?
Answer:
These lines show that he is sympathetic and loving.

(c) How did the speaker transform the listener?
Answer:
The speaker transformed the listener through kindness and love.

Question 5.
“They chained me up like a wild animal, they lashed me like a hound. 1 fed on filth, I was covered, with vermin, I slept on boards, and I complained. Then they lashed me again. ”

(a) Where was the speaker at the time? For how long was he there?
Answer:
The speaker was in prison hulks at this time. He was there for ten years.

(b) To whom do the terms “they” and “me” refer?
Answer:
The term “they” refer to the prison authorities and “me” refers to the convict.

(c) Explain the phrase ‘lashed me like a hound’?
Answer:
The convict is telling the bishop that he was treated like a dog. he was secured tightly on a leash.

Question 6.
“And so my brother is to be kept out of his bed, and go without his supper because you told him she was feeling poorly. ”

(a) Who is feeling poorly?
Answer:
Marie’s mother had been feeling poorly.

(b) Why has the brother gone to see the person who is feeling poorly?
Answer:
The brother went to see the person who is feeling poorly to pray with her.

(c) What does the speaker mean when he says kept out of bed’?
Answer:
The speaker means that his brother, the bishop, is away from his warm home and bed.

Question 7.
“You are like a child. / can’t trust you out of my sight. No sooner is my back turned than you get that little minx Marie to sell the silver salt-cellars. ”

(a) Why did the listener get Marie to sell the silver salt-cellars?
Answer:
The listener got Marie to sell the silver salt-cellars as Mere Gringoire needed money to pay her rent.

(b) What does the word minx mean?
Answer:
Minx refers to a cunning young woman.

(c) She did not want the salt-cellars sold as
Answer:
They had been in their family for years.

Question 8.
“That was when I was a man. Now I’m not a man; now I’m a number; number 15729, and I’ve lived in Hell for ten years. ”

(a) What has changed the speaker?
Answer:
The harsh treatment in prison has changed the speaker.

(b) What does ‘That was when I was a man’ refer to?
Answer:
The speaker says he used to be a man but now he has changed into a beast.

(c) What idea does the play highlight?
Answer:
The play highlights how love and kindness can change a man rather than violence.

Question 9.
“You are going to try to convert me. ”

(a) What is the speaker’s tone?
Answer:
The speaker seems to be suspicious of the bishop.

(b) Do you think the speaker is against religion? Why?
Answer:
Yes. I think he is against religion because he is suspicious of the bishop and he admits that he hates the church.

(c) What do you mean by the word ‘convert’ in this context?
Answer:
The word ‘covert’ in this context means changing one’s religion or belief.

Question 10.
“Monseigneur, I’m glad I didn’t get away with them; curse me, I am. I’m glad. ”

(a) Why is he glad he did not get away with them?
Answer:
He is glad that he did not get away with them as he has been transformed by the Bishop’s goodness.

(b) What does he ask the Bishop for before he leaves?
Answer:
He asked the Bishop to bless him before he leaves.

(c) What do you think is the speaker going through? Can you name some of the emotions associated with it?
Answer:
The speaker is remorseful and he regrets taking the bishop’s candlesticks, apologetic, repentant, contrite.

Online Education for RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B

Online Education for RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B

These Solutions are part of Online Education RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B.

Other Exercises

Question 1.
Solution:
Radius of the base of a cylinder (r) = 5cm.
and height (h) = 21cm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B Q1.1

Question 2.
Solution:
Diameter of the base of the cylinder = 28cm
Radius = \(\frac { 1 }{ 2 } \) x 28 = 14 cm
Height (h) = 40cm.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B Q2.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B Q2.2

Question 3.
Solution:
Radius of cylinder (r) = 10.5cm
Height (h) = 60cm.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B Q3.1

Question 4.
Solution:
Diameter of cylinder = 20cm
Radius (r) = \(\frac { 20 }{ 2 } \) = 10cm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 04.1

Question 5.
Solution:
Curved surface area of cylinder = 4400 cm²
Circumference of its base = 110 cm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 05.1

Question 6.
Solution:
The ratio of the radius and height of a cylinder = 2:3
Volume =1617 cm³
Let radius = 2x
and height = 3x.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 06.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 06.2

Question 7.
Solution:
Total surface area of the cylinder = 462 cm²
Curved surface area = \(\frac { 1 }{ 3 } \) x 462 = 154
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 07.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 07.2

Question 8.
Solution:
Total surface area of solid
cylinder = 231 cm²
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 08.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 08.2

Question 9.
Solution:
Sum of radius and height = 37m.
and total surface area = 1628 m²
Let r be the radius
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 09.1

Question 10.
Solution:
Total surface area = 616 cm²
Curved surface area = \(\frac { 616X1 }{ 2 } \) = 308
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 010.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 010.2

Question 11.
Solution:
Volume of gold = 1 cm³
diameter of wire = 0.1 mn
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 011.1

Question 12.
Solution:
Ratio in the radii of two cylinders = 2:3
and ratio in the heights = 5:3
If r1 and r2 and the radii and h1 and h2 are the heights, then
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 012.1

Question 13.
Solution:
Side of square = 12cm
and height = 17.5cm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 013.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 013.2

Question 14.
Solution:
Diameter of cylindrical bucket = 28cm
Radius (r) = \(\frac { 28 }{ 8 } \) = 14cm
Height (h) = 72cm.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 014.1

Question 15.
Solution:
Length of pipe (l) = 1m = 100cm
diameter of pipe = 3cm.
Inner radius = \(\frac { 3 }{ 2 } \) cm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 015.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 015.2

Question 16.
Solution:
Internal diameter of cylindrical tube = 10.4 cm
Radius (r) = \(\frac { 10.4 }{ 2 } \) = 5.2cm.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 016.1

Question 17.
Solution:
Length of barrel (h) = 7cm
Diameter = 5mm.
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 017.1

Question 18.
Solution:
Diameter of pencil = 7mm
.’. Radius (R) = \(\frac { 7 }{ 2 } \) mm = \(\frac { 7 }{ 20 } \) cm.
and diameter of graphite in it = 1mm
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 018.1
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 018.2
RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B 018.3

Hope given RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13B are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Online Education for Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Check the below Online Education NCERT MCQ Questions for Class 9 Geography Chapter 3 Extra Questions and Answers Drainage Pdf free download. https://ncertmcq.com/extra-questions-for-class-9-social-science/

Online Education for Drainage Class 9 Extra Questions Geography Chapter 3

Class 9 Geography Chapter 3 Extra Questions And Answers Question 1.
Where term the Brahmaputra originates?
Answer:
From Tibet.

Drainage Class 9 Extra Questions Question 2.
In which direction does the Brahmaputra flow?
Answer:
The Brahmaputra flows in eastward direction parallel to the Himalayas.

Extra Questions For Class 9 Geography Chapter 3 Drainage Question 3.
Whaf does the Brahmaputra do in Namcha Barwa ?
Answer:
The Brahmaputra reaching Namcha Barwa takes a U-tum and enters India in Arunachal Pradesh.

Class 9 Geography Chapter 3 Extra Questions Question 4.
What is a river basin?
Answer:
A river basin is meant by the area which is drained by a single river system. This a also known as drainage basin.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Extra Questions For Class 9 Geography Chapter 3 Question 5.
Name two saltwater lakes on the eastern coast of India.
Answer:

  1. The Chilka – in Orissa.
  2. The Pulicat – in Tamil Nadu.

Drainage Extra Questions Question 6.
In which states does the Brahmaputra flow in India?
Answer:

  • Arunachal Pradesh,
  • Assam.

Class 9 Drainage Extra Questions Question 7.
By which name Brahmaputra is known in Tibet?
Answer:
Tsangpo.

Ncert Class 9 Geography Chapter 3 Extra Questions Question 8.
Name the city located on the water divide between the Indus and Ganga.
Answer:
Ambatal.

Class 9 Geography Chapter 3 Short Questions And Answers Question 9.
By which name the mainstream of Ganga is known in Bangladesh?
Answer:
Padma.

Class 9 Geo Ch 3 Extra Questions Question 10.
When is the Ganga known as Tainuna?
Answer:
In Bangladesh where the Brahmaputra joins the Ganga, it is known as Jamuna.

Drainage System Class 11 Extra Questions Question 11.
Where does the Jhelum fall into the Indus?
Answer:
A little over Mithankot.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Extra Questions Of Drainage Class 9 Question 12.
What is meant by the dendritic pattern of streams?
Answer:
The dendritic pattern of streams indicates the streams resembling like the branches of a tree.

Class 9 Geography Chapter 3 Questions And Answers Question 13.
What is meant by the trellis?
Answer:
Trellis indicates the situation where the tributaries join the mainstream at the right angles.

Class 9 Geography Ch 3 Extra Questions Question 14.
What is meant by a braided stream?
Answer:
The braided stream is channel of a stream that has large island within it.

Geography Class 9 Chapter 3 Extra Questions Question 15.
What is meant by island drainage?
Answer:
Island drainage refers to die rivers not reaching a ocean. Instead, they fall into a sea or lake within the land.

Class 9 Chapter 3 Geography Extra Questions Question 16.
From which glacier does the Yamuna originate?
Answer:
Yamunotri.

Geography Chapter 3 Class 9 Questions And Answers Question 17.
Name the largest peninsular river of India.
Answer:
Godavari.

Chapter 3 Geography Class 9 Extra Questions Question 18.
Name the tributaries of die river Krishana.
Answer:

  • The Tungabhadra,
  • The Koyna,
  • The Ghatprabha,
  • The Musi,
  • The Bhima.

Ch 3 Drainage Extra Questions And Answers Question 19.
Name the states which fall, into the drainage basin of the Narmada
Answer:

  • Maharashtra,
  • Karnataka,
  • Andhra Pradesh.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Geography Chapter 3 Class 9 Extra Questions Question 20.
Which river originates from the Brahmagir range of the Western Ghats?
Answer:
The Kaveri.

Question 21.
Why are the peninsular rivers seasonal?
Answer:
They are seasonal because their flow depends on die rainfall.
Class 9 Geography Chapter 3 Extra Questions and Answers Drainage 1
Class 9 Geography Chapter 3 Extra Questions and Answers Drainage 2
Class 9 Geography Chapter 3 Extra Questions and Answers Drainage 3

Question 22.
Point out the prominent features of the Ganga-Brahmaputra delta.
Answer:

  • It is the largest delta of die world.
  • It is one of the most fertile areas of the world.
  • It is a triangular-shaped area.
  • It is a well-watered area.
  • The lower part of this delta is marshy.
  • Mangroves are found only in this place of the whole India.

Question 23.
How Would you differentiate between a glacier and a river?
Answer:

The Glacier The River
1. Glaciers are in the solid form. 1. Rivers are in liquid form.
2. Glaciers look like a mountain of ice. 2. Rivers may be seen flowing.
3. Glaciers move very slowly. 3. Rivers move with a greater speed.
4. The movement of a glacier is not discernible. 4. The movement of a river is easily discernible.

Question 24.
How the lakes are formed?
Answer:

  • Lakes are formed in the mountainous area when the glaciers block the valleys and large amount of water is collected in that place.
  • The violent movements of the earth, like the earthquakes, also create lakes when the depressions formed on the crust of the earth are filled with rainwater.
  • Human beings also form lakes, for various purposes.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Question 25.
What is meant by the Indus water treaty?
Answer:
Indus water treaty is a treaty between India and Pakistan. This treaty is about the- sharing of the waters of the Indus system. According to this treaty, India can use only 20% of the total of the water carried by the Indus river system.

Question 26.
Name the states through whicn the river Mahanadi flows.
Answer:
The river Mahanadi flows through three states of India:

  1. It originates in Chattisgarh
  2. If falls in the Bay of, Bengal in Orissa.
  3. Hence it flows through Chattisgarh and Orissa Only.

Question 27.
Why are the rivers considered the lifelines of human civilisation?
Answer:
Rivers are undoubtedly the lifelines of the human civilisation. All the early: civilisations whether in India, Mesopotamia, Egypt or in China, flourished in the river valleys. The Harappan culture of India flourished in the Indus valley. The Egyptian civilization flourished in the Nile valley and the Mesopotamian in the valleys of the Tigris and Euphrates.

It is a well-known fact that the rivers provide us water Without water, one can not imagine life. Hence it is a very natural tendency to stay and live by the sides of the river and their nearby areas. So that water heed for drinking and cultivation etc could be fulfilled easily.

Question 28.
What do you mean by the drainage?
Answer:
Drainage is an outcome of the evolutionary process of the broad relief features of the country. It is meant by the river system of an area.

Question 29.
Answer the following questions:
(i) Three major rivers Originating beyond the Himalayas.
(ii) The source area of these rivers.
(iii) Point out the feature formed by these rivers.
Answer:
(i) Three major rivers originating beyond tire Himalayas are:

  • The Indus,
  • The Satluj,
  • The Brahmputra.

(ii) The source of the above rivers is Mansarovar near the Kailash.
(iii) Gorges, Canyons, U-shaped valleys.

Question 30.
Write a few lines on the Ganga.
Answer:
The Ganga river originates from the Gangotri glacier in the Himalayas. After crossing through India and Bangladesh, it falls in the Bay of Bengal. It is of nearly 2500 km. length. The main tribu taries of Ganga are the Yamuna, Gomut, Ghagra, gandak and Kosi. The southern tributaries of the Ganga are Son. Chambel, Betwa and Kosi.

Question 31.
Which are the important peninsular rivers of India?
Or
Give a brief account of the different peninsular rivers of India.
Answer:
The Narmada: If rises from Amarkantak in Madhya Pradesh. It flows west-southward in a trough for a distance about 1300 km. The Narmada gorge in the marble rocks of Madhya Pradesh is very famous for its beauty.

The Tapi: It rises from the Betul district of Madhya Pradesh. It flows in a trough parallel to the Narmada. However, it is smaller in size than that of the Narmada: The Godavari: It is also known as the Dakshin Ganga and Vridha Ganga.

It is the largest among the peninsular rivers of India. It rises in Nashik district of Maharashtra. Its length is about 15000 km. It drains into the Bay of Bengal.

The Mahanadi: It rises ill Chattisgarh and flows through Orissa and reaches the Bay of Bengal.

The Krishna: It rises from the spring near Mahabaleshwar. If flows-for nearly about 1400 km. Its drainage basin is shared by Maharashtra, Karnataka and Andhra Pradesh.

The Kaveri: It rises in the Brahmagir ranges of the Western Ghats. If flows over 800 km. Near the Kaveripatnam, it reaches the Bay of Bengal.

Question 32.
What is the reason of the water pollution? How the pollution level can be reduced?
Or
Suggest some measures to reduce the pollution of water.
Answer:
Water pollution indicates that the water is not pure and safe for the health. Today, many factors are causing the water pollution; It is very dangerous for health as well as for tire environment. The large number of the dead fishes found in Yamuna at Agra proved it.

Factories, especially the chemical industries, paper mills, sugar mills, tanneries etc are causing the water to be polluted. The disposal of sewage of urban areas into the rivers also lead to this pollution. As for example, the Najafgarh Nala in Delhi may be taken.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Question 33.
What is meant by a lake? Introduce some of the important lakes of India.
Or
How are the lakes useful for us?
Or
Point out the importance of lakes.
Answer:
A large low lying depression in the earth filled with water is called a lake. A lake may be natural or artificial that is, human-made Lakes may be in the hill areas as well as in the plain.

Importance of the Lakes

  • Lakes help us in drainage.
  • These are the beauties attracting the tourists.
  • These are important for nature and protecting the natural beauty.
  • Lakes are also important for the economy of a country.
  • They are used for boating and fishing.
  • They provide the opportunities for recreation.

Reduction in water (low due to ever-increasing abstraction of water for irrigation from the river Ganga through canals.

Question 34.
Point out the achievements of the Ganga Action Plan.
Answer:

  • Mainly 260 schemes have been launched in the Ganga Action Plan.
  • Nearly 45 of them have been completed with positive results.
  • Trees have been planted in badly, eroded portions to check the dams repuned in the upper reaches of the river.
  • The interception and diversion of several major drains carrying savage and the industrial wastes to the river Ganga have been completed in several cities like Varanasi Kanpur and Patna.
  • It has reduced the pollution level substantially.
  • Turtles and the Gangetic dolphins which had been disappeared for several years reappeared in Varanasi and the other places.,
  • All of the above points indicate the recovery of the health of the Ganga.

Hence though the Ganga Action Plan has miles to go it have no doubt achieved several landmark achievements.

Question 35.
Give an account of the drainage of the surface water of India.
Answer:

  • Two-third of the total surface water of India drains into the Bay of Bengal.
  • About 20% of the surface water drains into the Arabian Sea.
  • A little less than 10% drain to form part of the inland drainage of Rajasthan desert and Aksai Chain.
  • Nearly 1% drains to the Andaman Sea through the tributaries of the Irrawaddy in Myanmar.

Question 36.
Write a detailed note on the Indus River System.
Answer:
The river Indus rises in Tibet, near Lake Mansarovar. Flowing west, it enters India in the Ladakh district of Jammu and Kashmir through a picturesque gorge. Several tributaries, the Zaskar, the Shyok and the Huzana, join it in this region. It flows through Baltistan and Gilgit and emerges from the mountains at Attack.

The famous five rivers of Punjab-the Satluj; the Beas, the Ravi, the Chenab and the Jhelum-enter.the Indus is a little above Mithankol in Pakistan. Beyond this, the Indus flows southwards eventually reaching the Arabian Sea, east of Karachi. The total length of the river is about 2900Jem, ranking it amongst the longest rivers of the world. A little over a third of the Indus basin is located in India in the states of Jammu and Kashmir, Himachal Pradesh and the Punjab and the rest is in Pakistan.

Question 37.
What do you know about the Brahmaputra rivers System?
Answer:
The Brahmaputra rises in Tibet east of Mansarovar lake very close to the sources of the Indus and the Satluj. In Tibet, it is called the Tscmgpo. It is slightly longer than the Indus, and most of its course lies outside India. It flows eastwards parallel to the Himalayas to its south.

On reaching the mountain peak the Namcha Barwa (7757 m), it takes a ‘U’ turn and enters India in Arunachal Pradesh through a gorge. Here it is called the Dihang and it is joined by the Dibang, the Lohit the Kenula and many other tributaries to form the Brahmaputra in Assam.

In Tibet the river carries a smaller volume of water and less silt as if is a comparatively dry area. In India, it passes through a region, which receives a huge amount of rainfall. As a result, the river carries a large volume of water and considerable amount of silt. The Brahmaputra has a braided channel in its entire length in Assam, with many riverine islands.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

Objective Type Questions

1. Put (✓) before the correct sentences and (✗) before the incorrect sentences.

(i) Of the 260 schemes of the Ganga Action plan, 45 have been completed with positive result
Answer:
(✓)

(ii) The Kaveri raises from Amarkantak,
Answer:
(✗)

(iii) India has comparatively a few natural lakes.
Answer:
(✓)

(iv) Over two-thirds of the surface water of India drains into the Bay of Bengal.
Answer:
(✓)

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

(v) Aksai Chin is in Uttaranchal.
Answer:
(✗)

(vi) The Krishana is famous as the Vridha Ganga.
Answer:
(✗)

(vii) The Chilka lake is a large lagoon.
Answer:
(✓)

(viii) The rising pollution of Ganga became a cause of concern during 1970 and 1980s.
Answer:
(✓).

2. Fill in the blanks with suitable words.

(i) The Mahanadi rises from ………………… .
Answer:
Chattisgarh

(ii) The Krisha flows for about ……………….. Km.
Answer:
1400

(iii) Where the sweet water mixes with the saltwater of ocean is known as ………………… .
Answer:
estuaries

(iv) The ………………… basin is shared by Kerala, Karnataka and Tamilnadu.
Answer:
Kaveri,

(v) Aksai chin is in ………………… .
Answer:
Jammu and Kashmir.

3. Match the following two lists.

List I List II
(i) Bhima Farakka
(ii) Godavari Krishna,
(iii) Rajasthan Nashik
(iv) Kaveri 800 Km.
(v) Loktak Inland drainage
(vi) Ganga Manipur.

Answer:

List I List II
(i) Bhima Krishna
(ii) Godavari Nashik
(iii) Rajasthan Inland drainage
(iv) Kaveri 800 Km.
(v) Loktak Manipur
(vi) Ganga Farakka.

Class 9 Geography Chapter 3 Extra Questions and Answers Drainage

4. Choose the right answer from the four alternatives given below:

(i) The river Indus rise from the following:
(a) Mansarovar
(b) Gangotri
(c) Nasik
(d) Mahabaleswar.
Answer:
(a) Mansarovar

(ii) The Ganga is also known as:
(a) Krishana
(b) Bhagirathi
(c) Narmada
(d) Kaveri.
Answer:
(b) Bhagirathi

(iii) The following is a peninsular rivers
(a) The Ganga
(b) The Tapi
(c) The Indus
(d) TheBrahmpaputra
Answer:
(b) The Tapi

(iv) The following is the largest peninsular river:
(a) Mahanadi
(b) Krishna
(c) Godawari
(d) Narmada.
Answer:
(c) Godawari

(v) The following is the range from where the river Tapi rises:
(a) Satpura
(b) Aravalli
(c) Vindhya
(d) None of these.
Answer:
(a) Satpura.

Extra Questions for Class 9 Social Science

Online Education Value Based Questions in Science for Class 9 Chapter 13 Why Do we Fall Ill

Online Education Value Based Questions in Science for Class 9 Chapter 13 Why Do we Fall Ill

These Solutions are part of Online Education Value Based Questions in Science for Class 9. Here we have given Value Based Questions in Science for Class 9 Chapter 13 Why Do we Fall Ill

Question 1.
The number of dengue cases had increased in Pooja’s village in the last one year. She read in her text book that diseases like dengue spread through mosquitoes which breed in stagnant water. She immediately contacted her friends and decided to kill the mosquitoes in water bodies in the locality. They also took help of nearest municipal office. Answer the following questions based on above information.

  1. Which preventive measures do you suggest for prevention of such diseases caused by mosquitoes ? Mention any two measures,
  2. Which values are displayed by Pooja in taking initiative.
  3. Suggest one school activity for promoting such values in school students. (Sample Paper, 2012—13, CCE 2013)

Answer:

  1. Preventive Measures. Avoid collection of water in pits, ensure covering of drains, proper and regular disinfection, covering arms and legs as dengue mosquito is active during day, use of mosquito nets and repellents.
  2. Values,
    1. Pooja is conscious of her social responsiblity.
    2. She is doing community service,
    3. She is aware of healthy living, as well as environment protection.
  3. School Activity,
    1. Group discussion on the clean environment and preventive measures against mosquito bites.
    2. Organising debates and seminar on mosquito menace and community hygiene.
    3. Organising compaigns for creating awareness amongst masses on hygienic living and hygienic environment.

More Resources

Question 2.
Anish has the habit of throwing the household garbage in the drain outside her home. Her friend Smitha takes the domestic garbage to public garbage bin outside her street.

  1. Which act of garbage disposal, Anish’s or Smitha’s is correct ?
  2. What problems would the wrong habit create for the society ?
  3. How can the wrong habit be corrected ?

Answer:

  1. Anish’s habit of throwing garbage in the drain is wrong while that of Smitha is correct.
  2. Anish’s habit of passing garbage in the drain not only blocks the drain causing overflow of drain water, spread of filth resulting in spread of flies, mosquitoes and other creatures but also produces stink all around.
  3. The best method to correct Anish’s habit is that Smitha should talk to her and convince her that throwing garbage in the drain is not only harmful to her neighbours but also for her and her family.
    If she does not mend her ways, Smitha should approach Anish’s mother. Other members of the community can also join her in convincing Anish.

Question 3.
Anne came to classroom early, dragged her table and chair to a side of the room and sat there away from the rest of her classmates. In between she was putting handkerchief over her nose. Her friend Nancy asked her to lend a pen which she refused.

  1. What is the reason of her putting handkerchief over the nose ?
  2. Why did she sit separately away from her classmates ?
  3. Why did she refuse to given pen to Nancy ?

Answer:

  1. Anne must be suffering from common cold. By putting handkerchief over the nose, she was preventing the spread of cold virus through nasal droplets, wiping off the same in the process.
  2. Anne sat separately so that she does not transfer the cold virus to her classmates.
  3. Refusal to give her pen to Nancy is also due to her anxiety that articles contaminated by her do not transfer the disease to others. She is conscious of her social responsibility.

Question 4.

  1. Why are polio drops being administered to children below five years twice every year ?
  2. When was the last wild polio case reported in India ?
  3. Was there any other polio case ?

Answer:

  1. Polio drops are being given free to children below five years of age so that the virus of polio does not multiply in human beings and it is ultimately eradicated, as small pox has been from the world. The compaign will continue for some time more till there is no fresh case for a couple of years.
  2. The last wild type polio case was reported in India during January 2011.
  3. A vaccine derived polio case has been reported from Bengal during 2012.

Hope given Value Based Questions in Science for Class 9 Chapter 13 Why Do we Fall Ill are helpful to complete your science homework.

If you have any doubts, please comment below. Learn Insta try to provide online science tutoring for you.

Constructions Class 9 Extra Questions Maths Chapter 11 with Solutions Answers

Online Education for Constructions Class 9 Extra Questions Maths Chapter 11 with Solutions Answers

Here we are providing Online Education for Constructions Class 9 Extra Questions Maths Chapter 11 with Answers Solutions, Extra Questions for Class 9 Maths was designed by subject expert teachers. https://ncertmcq.com/extra-questions-for-class-9-maths/

Extra Questions for Class 9 Maths Constructions with Answers Solutions

Extra Questions for Class 9 Maths Chapter 11 Constructions with Solutions Answers

Constructions Class 9 Extra Questions Very Short Answer Type

Construction Class 9 Extra Questions Question 1.
Draw a line segment AB = 8 cm. Draw \(\frac{1}{3}\) part of it. Measure the length of \(\frac{1}{3}\) part of AB.
Solution:
Construction Class 9 Extra Questions
Steps of Construction :

  1. Draw a line segment AB = 8 cm.
  2. Draw its perpendicular bisector and let it intersect AB in M.
  3. Draw the perpendicular bisector of MB and let it intersect AB in N. Thus, AN = \(\frac{1}{3}\) of AB = 6 cm.

Class 9 Construction Extra Questions Question 2.
Why we cannot construct a ∆ABC, if ∠A = 60°, AB = 6 cm and AC + BC = 5 cm but construction of ∆ABC is possible if ∠A = 60°, AB = 6 cm and AC – BC = 5 cm ?
Solution:
We know that, by triangle inequality property, construction of triangle is possible if sum of two sides of a triangle is greater than the third side. Here, AC + BC = 5 cm which is less than AB (6 cm) Thus, ∆ABC is not possible.
Also, by triangle inequality property, construction of triangle is possible, if difference of two sides of a triangle is less than the third side
Here, AC – BC = 5 cm, which is less than AB (6 cm)
Thus, ∆ABC is possible.

Constructions Class 9 Extra Questions Question 3.
Construct an angle of 90° at the initial point of the given ray.
Solution:
Class 9 Construction Extra Questions
Steps of Construction :

  1. Draw a ray OA.
  2. With O as centre and any convenient radius, draw an arc, cutting OA at P.
  3. With P as centre and same radius, draw an arc cutting the arc drawn in step 2 at Q.
  4. With Q as centre and the same radius as in steps 2 and 3, draw an arc, cutting the arc drawn in step 2 at R.
  5. With Q and R as centres and same radius, draw two arcs, cutting each other in S.
  6. Join OS and produce to B. Thus, ∠AOB is the required angle of 90°

Construction Extra Questions Class 9 Question 4.
Draw a straight angle. Using compass bisect it. Name the angles obtained.
Solution:
Constructions Class 9 Extra Questions
Steps of Construction :

  1. Draw any straight angle (say ∠AOC).
  2. Bisect ∠AOC and join BO.
  3. ∠AOB is the required bisector of straight angle AOC.

Class 9 Maths Constructions Extra Questions Question 5.
Draw any reflex angle. Bisect it using compass. Name the angles so obtained.
Solution:
Construction Extra Questions Class 9
Steps of Construction :

  1. Let ∠AOB be any reflex angle.
  2. With O as centre and any convenient radius, draw an arc cutting OA in P and OB in Q.
  3. With P and Q as centres, draw two arcs of radius little more than half of it and let they intersect each other in C. Join OC. Thus, OC is the required bisector. Angles so obtained are ∠AOC and ∠COB.

Constructions Class 9 Extra Questions Short Answer Type 1 and 2

Class 9 Maths Chapter 11 Extra Questions Question 1.
Construct a triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 18 cm.
Solution:
Class 9 Maths Constructions Extra Questions
Steps of Construction :

  1. Draw a line segment AB =18 cm.
  2. At A, construct an acute angle ∠BAX (< 90°).
  3. Mark 9 points on AX, such that AA1 = A1A2 = A2A3 = A3A4 = A4A5 = A5A6
    = A6A7 = A7A8 = A8A9.
  4. Join A9B.
  5. From A2 and A5, draw A2M || A5N || A9B, intersecting AB in M and N respectively.
  6. With M as centre and radius AM, draw an arc.
  7. With N as centre and radius NB, draw another arc intersecting the previous arc at L.
  8. Join LM and LN. Thus, ∆LMN is the required triangle.

Extra Questions Of Construction Class 9 Question 2.
Construct a ∆ABC with BC = 8 cm, ∠B = 45° and AB – AC = 3.1 cm.
Solution:
Class 9 Maths Chapter 11 Extra Questions
Steps of Construction :

  1. Draw any line segment BC = 8 cm.
  2. At B, construct an angle ∠CBX = 45°.
  3. From BX, cut off BD = 3.1 cm.
  4. Join DC.
  5. Draw the perpendicular bisector ‘p’ of DC and let it intersect BX in A.
  6. Join AC. Thus, ∆ABC is the required triangle.

Extra Questions On Constructions Class 9 Question 3.
Construct a ∆ABC such that BC = 3.2 cm, ∠B = 45° and AC – AB = 2.1 cm.
Solution:
Extra Questions Of Construction Class 9
Steps of Construction :

  1. Draw a line segment BC = 3.2 cm.
  2. At B, construct an angle ∠CBX = 45° and produce it to point X’.
  3. Cut-off BD = 2.1 cm and join CD.
  4. Draw the perpendicular bisector of CD and let it intersect X’BX in A.
  5. Join AC. Thus, ∆ABC is the required triangle.

Class 9 Constructions Extra Questions Question 4.
Draw a line segment QR = 5 cm. Construct perpendiculars at point Q and R to it. Name them as QX and RY respectively. Are they both parallel ?
Solution:
Extra Questions On Constructions Class 9
Steps of Construction :

  1. Draw a line segment QR = 5 cm.
  2. With Q as centre, construct an angle of 90° and let this line through Q is QX.
  3. With R as centre, construct an angle of 90° and let this line through R is RY. Yes, the perpendicular lines QX and RY are parallel.

Class 9 Maths Ch 11 Extra Questions Question 5.
Construct an isosceles triangle whose two equal sides measure 6 cm each and whose base is 5 cm. Draw the perpendicular bisector of its base and show that it passes through the opposite vertex.
Solution:
Class 9 Constructions Extra Questions
Steps of Construction :

  1. Draw a line segment AB = 5 cm.
  2. With A and B as centres, draw two arcs of radius 6 cm and let they intersect each other in C.
  3. Join AC and BC to get ∆ABC.
  4. With A and B as centres, draw two arcs of radius little more than half of AB. Let they intersect each other in P and Q. Join PQ and produce, to pass through C.

Constructions Class 9 Extra Questions Long Answer Type

Important Questions Of Construction Class 9 Question 1.
Construct a triangle ABC in which BC = 4.7 cm, AB + AC = 8.2 cm and ∠C = 60°.
Solution:
Class 9 Maths Ch 11 Extra Questions
Given : In ∆ABC, BC = 4.7 cm, AB + AC = 8.2 cm and ∠C = 60°.
Required : To construct ∆ABC.
Steps of Construction :

  1. Draw BC = 4.7 cm.
  2. Draw
  3. From ray CX, cut off CD = 8.2 cm.
  4.  Join BD.
  5.  Draw the perpendicular bisector of BD meeting CD at A.
  6. Join AB to obtain the required triangle ABC.

Justification :
∵ A lies on the perpendicular bisector of BD, therefore, AB = AD
Now, CD = 8.2 cm
⇒ AC + AD = 8.2 cm
⇒ AC + AB = 8.2 cm.

Class 9th Construction Extra Questions Question 2.
Construct ∆XYZ, if its perimeter is 14 cm, one side of length 5 cm and ∠X = 45°.
Solution:
Important Questions Of Construction Class 9
Here, perimeter of ∆XYZ = 14 cm and one side XY = 5 cm
∴  YZ + XZ = 14 – 5 = 9 cm and ∠X = 45°.
Steps of Construction :

  1. Draw a line segment XY = 5 cm.
  2. Construct an ∠YXA = 45° with the help of compass and ruler.
  3. From ray XA, cut off XB = 9 cm.
  4. Join BY.
  5. Draw perpendicular bisector of BY and let it intersect XB in Z.
  6. Join ZY. Thus, ∆XYZ is the required triangle.

Extra Questions For Class 9 Maths Constructions Question 3.
To construct a triangle, with perimeter 10 cm and base angles 60° and 45°.
Solution:
Class 9th Construction Extra Questions
Given : In ∆ABC,
AB + BC + CA = 10 cm, ∠B = 60° and ∠C = 45°.
Required : To construct ∆ABC.
Steps of Construction :

  1. Draw DE = 10 cm.
  2. At D, construct ∠EDP= 5 of 60°= 30° and at E, construct DEQ = 1 of 45o = 22°
  3. Let DP and EQ meet at A.
  4. Draw perpendicular bisector of AD to meet DE at B.
  5. Draw perpendicular bisector of AE to meet DE at C.
  6. Join AB and AC. Thus, ABC is the required triangle.

Constructions Class 9 Extra Questions HOTS

Question 1.
Construct an equilateral triangle whose altitude is 6 cm long.
Solution:
Extra Questions For Class 9 Maths Constructions
Steps of Construction :

  1. Draw a line PQ and take any point S on it.
  2. Construct the perpendicular SR on PQ.
  3. From SR, cut a line segment SA = 6 cm.
  4. At the initial point A of the line segment AS, construct ∠SAB = 30° and ∠SAC = 30°.
  5. The arms AB and AC of the angles ∠SAB and ∠SAC meet PQ in B and C respectively. Then, ∆ABC is the required equilateral triangle with altitude of length 6 cm.

Question 2.
Construct a rhombus whose diagonals are 8 cm and 6 cm long. Measure the length of each side of the rhombus.
Solution:
Extra Question Of Construction Class 9
Steps of Construction :

  1. Draw a line segment PR = 8 cm.
  2. Draw the perpendicular bisector XY of the line segment PR. Let O be the point of intersection of PR and XY, so that O is the 8 cm mid-point of PR.
  3. From OX, cut a line segment OS = 3 cm and from OY, cut a line segment OQ = 3 cm.
  4. Join PS, SR, RQ and QP, then PQRS is the required rhombus.
  5. Measure the length of segments PQ, QR, RS and SP, each is found to be 5 cm long.

Online Education NCERT Solutions for Class 9 Hindi Kshitij Chapter 12

Online Education NCERT Solutions for Class 9 Hindi Kshitij Chapter 12 कैदी और कोकिला

These Solutions are part of Online Education NCERT Solutions for Class 9 Hindi. Here we have given NCERT Solutions for Class 9 Hindi Kshitij Chapter 12 कैदी और कोकिला.

पाठ्य-पुस्तक के प्रश्न-अभ्यास

प्रश्न 1.
कोयल की कूक सुनकर कवि की क्या प्रतिक्रिया थी? [CBSE]
उत्तर:
कोयल की कूक सुनकर कवि के मन में तरह-तरह की शंकाएँ उठती हैं। इनका समाधान करने के लिए वह तरह-तरह के
प्रश्न कोयल से पूछकर अपनी प्रतिक्रिया व्यक्त करता है; जैसे-

  • कोयल! तुम जेल में बंद हम कैदियों के लिए क्या संदेशा लाई हो?
  • कोयल, तुमने किस दावानल की ज्वालाएँ देख ली हैं?
  • कोयल, क्या तुम स्वतंत्रता के क्रांतिकारियों के हाथों में हथकड़ियाँ नहीं देख सकती हो?
  • कोयल क्या तुम्हारे मृदुल वैभव का खजाना लूट लिया गया है?

प्रश्न 2.
कवि ने कोकिल के बोलने के किन कारणों की संभावना बताई? [CBSE]
उत्तर:
कवि ने कोयल के बोलने की निम्नलिखित संभावनाएँ बताई हैं;
जैसे-

  1. वह पागल हो गई है।
  2. उसने दावानल की लपटें देख ली हैं।
  3. वह स्वतंत्रता के लिए कैदियों को संदेश देना चाहती है।
  4. क्रांतिकारियों के मन में देश-प्रेम की भावना और भी प्रगाढ़ करने का संदेश देने आई है।

प्रश्न 3.
किस शासन की तुलना तम के प्रभाव से की गई है और क्यों? [CBSE]
उत्तर:
पराधीन भारत में अंग्रेजों के शासन की तुलना तम के प्रभाव से की गई है। इसका कारण यह है कि अंग्रेज़ आजादी के लिए आवाज उठाने वाले को नहीं वरन् निर्दोष भारतीयों को तरह-तरह से सताते थे, उन पर अत्याचार करते थे। इससे देश में निराशा का वातावरण बन गया था और देशवासियों का भविष्य अंधकारपूर्ण हो गया था।

प्रश्न 4.
कविता के आधार पर पराधीन भारत की जेलों में दी जाने वाली यंत्रणाओं का वर्णन कीजिए। [Imp.]
उत्तर:
पराधीन भारत की जेलों में कैदियों को निम्नलिखित यातनाएँ दी जाती थीं-

  1. कैदियों को बेड़ियों तथा हथकड़ियों में बाँधकर छोटी-छोटी कोठरियों में चोरों, लुटेरों और डाकुओं के साथ रखा जाता था।
  2. कैदियों से पशुओं के समान काम लिया जाता था।
  3. उन्हें भीषण यंत्रणा दी जाती थी। वे न मर सकते थे न चैन से जी सकते थे।
  4. उन्हें खाने को बहुत कम दिया जाता था तथा बात-बात में गालियाँ दी जाती थीं।

प्रश्न 5.
भाव स्पष्ट कीजिए-
(क) मृदुल वैभव की रखवाली-सी, कोकिल बोलो तो! [CBSE]
(ख) हूँ मोट खींचता लगा पेट पर जूआ, खाली करता हूँ ब्रिटिश अकड़ का कुँआ।

उत्तर:
(क) भाव-कोयल का स्वर अत्यंत मधुर एवं कर्णप्रिय होता है। कोयल अपने इस मृदुल वैभव रूपी स्वर की रखवाली करती-फिरती है। जेल के पास उसकी कैंक सुनकर कवि सोचता है कि शायद कोयल का वैभव लुट गया है।

(ख) पराधीन भारत की जेलों स्वाधीनता की माँग करने वाले कैदियों से अत्यंत क्रूरता से काम करवाया जाता था। इन कैदियों का मनोबल तोड़ने के लिए तरह-तरह की यातनाएँ दी जाती थीं। कवि अपने पेट पर जूआ रखकर मोट खींचने का कठोर काम करता है। इस तरह वह अंग्रेजों की अकड़ ढीली करता है।

प्रश्न 6.
अर्द्धरात्रि में कोयल की चीख से कवि को क्या अंदेशा है?
अथवा
बंदी कवि को ‘कोकिल’ की बोली आधी रात में चीख जैसी क्यों प्रतीत होती है? [CBSE]
उत्तर:
अर्धरात्रि में कोयल की चीख सुनकर कवि को निम्नलिखित अंदेशा होता है-

  1. कोयल बावली हो गई होगी।
  2. स्वाधीनता संग्राम के कैदियों को देखकर कोयल द्रवित हो उठी होगी।
  3. उसने देश में अंग्रेज़ों के प्रति फैली क्रांति की ज्वाला देख ली होगी।
  4. वह जेल में बंद स्वाधीनता सेनानियों के लिए विशेष संदेश लेकर आई होगी।

प्रश्न 7.
कवि को कोयल से ईष्र्या क्यों हो रही है? [Imp.] [CBSE]
उत्तर:
कवि को कोयल से इसलिए ईष्र्या है क्योंकि कोयल आजाद रहकर आसमान में उड़ती है तथा पेड़ों की हरी-भरी डालियों पर गाती फिरती है। इसके विपरीत कवि ऊँची-ऊँची काली-दीवारों वाली जेल में बंद है। उसकी दुनिया दस फुट की कोठरी में सिमटकर रह गई है। यहाँ उसका रोना भी गुनाह माना जाता है। उसे तड़प-तड़पकर दिन बिताना पड़ रहा है।

प्रश्न 8.
कवि के स्मृति-पटल पर कोयल के गीतों की कौन सी मधुर स्मृतियाँ अंकित हैं, जिन्हें वह अब नष्ट करने पर तुली है?
उत्तर:
कवि के स्मृति-पटल पर कोयल के गीतों की अनेक मधुर स्मृतियाँ अंकित हैं; जैसे-

  1. कोयल बाग-बगीचों में आम के पेड़ पर अपना मधुर गीत सुनाया करती थी।
  2. वह प्रातः, दोपहर अथवा दिन ढले गीत सुनाया करती थी। कवि जब अर्धरात्रि को यही गीत सुनता है तो उसे यह गीत वेदनापूर्ण हूक-सी लगती है। यूँ असमय कोयल का गीत गाना उसे विचित्र-सा लग रहा है। इस तरह कोयल उन मधुर स्मृतियों को नष्ट करने पर तुली है।

प्रश्न 9.
हथकड़ियों को गहना क्यों कहा गया है? [Imp.]
उत्तर:
हथकड़ियों को गहना इसलिए कहा गया है क्योंकि कवि और अन्य स्वतंत्रता सेनानियों के हाथों में जो हथकड़ियाँ डाली गई हैं वे किसी चोरी-हत्या आदि के अपराध के लिए नहीं डाली गई हैं। उसे ये हथकड़ियाँ मातृभूमि की आजादी के लिए प्रयास करने के कारण मिली हैं। ऐसे नेक उद्देश्य के लिए ये हथकड़ियाँ किसी गहने से कम नहीं है।

प्रश्न 10.
‘काली तू ऐ आली!’-इन पंक्तियों में ‘काली’ शब्द की आवृत्ति से उत्पन्न चमत्कार का विवेचन कीजिए।
उत्तर:
‘काली’ शब्द की बार-बार आवृत्ति के माध्यम से-

  1. अंग्रेज सरकार के कुशासन की भयावहता का साकार चित्रण है।
  2. इससे अंग्रेज़ सरकार के कुकृत्यों की कालिमा चारों ओर फैले होने को साक्षात् आभास होता है।
  3. इससे समाज में व्याप्त निराशापूर्ण वातावरण का चित्र उपस्थित हो रहा है।

प्रश्न 11.
काव्य-सौंदर्य स्पष्ट कीजिए
(क) किस दावानल की ज्वालाएँ हैं दीखीं?
(ख) तेरे गीत कहावें वाह, रोना भी है मुझे गुनाह! देख विषमता तेरी-मेरी, बजा रही तिस पर रणभेरी।

उत्तर:
काव्य सौंदर्य
भाव-सौंदर्य- अंग्रेज़ों के अत्याचार और शोषण के प्रति भारतीयों के मन में विद्रोह की ज्वाला धधक उठी है। कोयल ने भारतीय जनमानस में उठने वाली दावानल को देख लिया है।
शिल्प सौंदर्य-

  • दावानल की ज्वालाएँ में रूपक अलंकार है।
  • प्रश्न शैली का प्रयोग है।
  • भाषा साहित्यिक खड़ी बोली है। जिसमें तत्सम शब्दों की बहुलता है।
  • मानवीकरण अलंकार है।

(ख) भाव-सौंदर्य-काव्यांश में कोयल के स्वतंत्र जीवन और कैदी कवि के यातनापूर्ण जीवन का चित्रण है। कोयल
भारतीयों को अंग्रेजों के विरुद्ध एकजुट अपनी आज़ादी पाने के लिए युद्ध करने हेतु प्रेरित कर रही है।
शिल्प-सौंदर्य-

  • तेरी-मेरी, वाह-गुनाह में स्वर मैत्री अलंकार है।
  • भाषा तत्सम शब्दावलीयुक्त साहित्यिक खड़ी बोली है।
  • ‘गुनाह’ उर्दू शब्द का सुंदर प्रयोग है।
  • रचना छंदबद्ध है।
  • मानवीकरण अलंकार है।

प्रश्न 12.
कवि जेल के आसपास अन्य पक्षियों का चहकना भी सुनता होगा लेकिन उसने कोकिला की ही बात क्यों की है?
उत्तर:
कवि ने कोयल की ही बात कही, जबकि वह अन्य पक्षियों का चहकना सुनता रहा होगा। इसका कारण यह है कि कोयल की कूक किसी ऋतु विशेष में ही अधिक सुनाई देती है जबकि अन्य पक्षी साल भर चहकते रहते हैं। कोयल आधी रात में बोलकर कुछ विशेष संदेश देने का आभास कराती है। ब्रिटिश काल में क्रांतिकारी भी छिप-छिपकर एक-दूसरे को गुप्त संदेश दुद्वारा अपनी योजनाएँ बनाया करते थे। कवि को कोयल और क्रांतिकारियों की कार्यप्रणाली में समानता दिखाई दी।

प्रश्न 13.
आपके विचार से स्वतंत्रता सेनानियों और अपराधियों के साथ एक-सा व्यवहार क्यों किया जाता होगा?
उत्तर:
अंग्रेजों ने भारतवासियों को गुलाम बना रखा था। वे चाहते थे कि भारत पर उनका शासन चलता रहे। अपने शासन को बनाए रखने के लिए वे हर तरह के नैतिक-अनैतिक हथकंडे अपनाते थे। स्वतंत्रता की माँग करना उनकी दृष्टि में सबसे बड़ा अपराध था। वे इसे राजद्रोह मानते थे। इस कारण वे स्वतंत्रता सेनानियों के साथ अपराधियों के समान व्यवहार करते थे।

पाठेतर सक्रियता

• पराधीन भारत की कौन-कौन सी जेलें मशहूर थीं, उनमें स्वतंत्रता सेनानियों को किस-किस तरह की यातनाएँ दी जाती थीं? इस बारे में जानकारी प्राप्त कर जेलों की सूची एवं स्वतंत्रता सेनानियों के नामों को राष्ट्रीय पर्व पर भित्ति पत्रिका के रूप में प्रदर्शित करें।
उत्तर:
परीक्षोपयोगी नहीं।

• स्वतंत्र भारत की जेलों में अपराधियों को सुधारकर हृदय परिवर्तन के लिए प्रेरित किया जाता है। पता लगाइए कि इस दिशा में कौन-कौन से कार्यक्रम चल रहे हैं?
उत्तर:
परीक्षोपयोगी नहीं।

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Online Education NCERT Solutions for Class 9 Hindi Kshitij Chapter 17

Online Education NCERT Solutions for Class 9 Hindi Kshitij Chapter 17 बच्चे काम पर जा रहे हैं

These Solutions are part of Online Education NCERT Solutions for Class 9 Hindi. Here we have given NCERT Solutions for Class 9 Hindi Kshitij Chapter 17 बच्चे काम पर जा रहे हैं.

पाठ्य-पुस्तक के प्रश्न-अभ्यास

प्रश्न 1.
कविता की पहली दो पंक्तियों को पढ़ने तथा विचार करने से आपके मन-मस्तिष्क में जो चित्र उभरता है उसे लिखकर व्यक्त कीजिए।
उत्तर:
कविता की पहली दो पंक्तियाँ पढने तथा विचार करने से हमारे मन-मस्तिष्क में आक्रोश, चिंता और सदयता का भाव उमड़ता है। कोहरे से ढंकी सरदी की सुबह में बच्चों का काम पर जाना मन में करुणा भाव पैदा करता है। जिस प्रतिकूल परिस्थिति में हम बिस्तर से भी नहीं निकलना चाहते हैं उन्हीं दशाओं में बच्चे काँपते-ठिठुरते काम पर जा रहे हैं। यह देखकर समाज की संवेदनहीनता एवं स्वार्थी प्रवृत्ति पर क्रोध आता है। ऐसे बच्चों का बचपन नष्ट होता देखकर चिंता होती है।

प्रश्न 2.
कवि का मानना है कि बच्चों के काम पर जाने की भयानक बात को विवरण की तरह न लिखकर सवाल के रूप में पूछा जाना चाहिए कि ‘काम पर क्यों जा रहे हैं बच्चे?’ कवि की दृष्टि में उसे प्रश्न के रूप में क्यों पूछा जाना चाहिए?
उत्तर:
बच्चों का काम पर जाना सामाजिक एवं आर्थिक विडंबना का जीता-जागता उदाहरण है। आज के बच्चे कल के भविष्य हैं। इन बच्चों का अमानवीय दशाओं में मजदूरी करने को सामान्य बात मानकर जानकारी भर नहीं देना चाहिए। इसके प्रति गहरा * लगाव एवं चिंता दिखाई पड़नी चाहिए कि ऐसा क्यों हो रहा है।

प्रश्न 3.
सुविधा और मनोरंजन के उपकरणों से बच्चे वंचित क्यों हैं? [Imp.]
उत्तर:
सुविधा और मनोरंजन के उपकरणों से वंचित होने का सबसे मुख्यकारण गरीबी है। इस कारण गरीब माता-पिता न चाहकर भी अपने बच्चों को काम पर भेजने के लिए विवश हो जाते हैं। गरीबी के कारण जब माता-पिता बच्चों को मूलभूत सुविधाएँ उपलब्ध नहीं करा पाते हैं तो उन्हें खिलौने कहाँ से देंगे। इस स्थिति के लिए समाज में व्याप्त स्वार्थी प्रवृत्ति और शोषण की व्यवस्था भी समान रूप से उत्तरदायी है।

प्रश्न 4.
दिन-प्रतिदिन के जीवन में हर कोई बच्चों को काम पर जाते देख रहा/रही है, फिर भी किसी को कुछ अटपटा नहीं लगता। इस उदासीनता के क्या कारण हो सकते हैं?
उत्तर:
काम पर जाते बच्चों को देख हर कोई उदासीनता का भाव प्रकट नहीं कर रहा है। क्योंकि-

  1. लोग आत्मकेंद्रित हो गए हैं। वे सोचते है कि चलो मेरा बच्चा तो काम पर नहीं जा रहा है।
  2. लोग इसके प्रति जागरूकता नहीं दिखाते हैं। वे सोचते हैं कि यह सरकार के सोचने का कार्य है।
  3. समाज का एक बड़ा वर्ग इन बच्चों से काम कराकर मुनाफा कमाकर अपनी जेब भर रहा है, तो वह इस बारे में क्यों सोचे।

प्रश्न 5.
आपने अपने शहर में बच्चों को कब-कब और कहाँ-कहाँ काम करते हुए देखा है?
उत्तर:
मैंने अपने शहर में बच्चों को चाय की दुकान, ढाबे, किराने की दुकानों, मोमबत्ती, अगरबत्ती बनाने वाले स्थानों, सामानों की पैकिंग करने वाली जगहों, घरों में, प्राइवेट कार्यालयों आदि जगहों पर देखा है। ये बाल-मज़दूर सुबह से देर रात तक प्रायः बारहों महीनों में देखे जा सकते हैं।

प्रश्न 6.
बच्चों का काम पर जाना धरती के एक बड़े हादसे के समान क्यों है? [CBSE][Imp.]
उत्तर:
बच्चों का काम पर जाना हादसे के समान है। क्योंकि बच्चे राष्ट्र का भविष्य हैं। जिस उम्र में बच्चों को पढ़ना-लिखना चाहिए तथा भविष्य का योग्य एवं सुशिक्षित नागरिक बनने की तैयारी करनी चाहिए, वे उस उम्र में बाल-मजदूरी करते हुए अपना भविष्य नष्ट कर रहे हैं। बच्चों का भविष्य नष्ट होना किसी हादसे से कम नहीं है।

रचना और अभिव्यक्ति

प्रश्न 7.
काम पर जाते किसी बच्चे के स्थान पर अपने-आप को रखकर देखिए। आपको जो महसूस होता है उसे लिखिए।
उत्तर:
काम पर जाते हुए किसी बच्चे के स्थान पर स्वयं को रखकर देखने से महसूस होता है कि मुझे काम पर क्यों जाना पड़ रहा है। इस समय तो मित्रों के साथ खेलना-कूदना चाहिए था, रंग-बिरंगी पुस्तकें लेकर बाजार जाना चाहिए था और अपनी इच्छा से घूमना-फिरना था, वर बाल मजदूरी करने की विवशता के कारण बचपन छिना जा रहा है। उन बच्चों की किस्मत कितनी अच्छी है जिन्हें काम पर नहीं जाना पड़ता है।

प्रश्न 8.
आपके विचार से बच्चों को काम पर क्यों नहीं भेजा जाना चाहिए? उन्हें क्या करने के मौके मिलने चाहिए? [CBSE]
उत्तर:
मेरे विचार से बच्चों को काम पर नहीं भेजा जाना चाहिए क्योंकि छोटी उम्र में काम करने पर बच्चों का शारीरिक एवं बौधिक विकास बाधित होता है। वे जिंदगी भर के लिए मजदूर बनकर रह जाते हैं। बच्चों का बौधिक विकास हो इसके लिए उन्हें पढ़ने-लिखने के पर्याप्त अवसर तथा शारीरिक विकास हेतु खेलकूद के उचित अवसर मिलने चाहिए।

पाठेतर सक्रियता

• किसी कामकाजी बच्चे से संवाद कीजिए और पता लगाइए कि-
(क) वह अपने काम करने की बात को किस भाव से लेता/लेती है?
(ख) जब वह अपनी उम्र के बच्चों को खेलने/पढ़ने जाते देखता/देखती है तो कैसा महसूस करता/करती है?
उत्तर:
परीक्षोपयोगी नहीं।

• ‘वर्तमान युग में सभी बच्चों के लिए खेलकूद और शिक्षा के समान अवसर प्राप्त हैं-इस विषय पर वाद-विवाद आयोजित कीजिए।
उत्तर:
पक्ष में विचार –
वर्तमान युग में सभी बच्चों के लिए खेलकूद और शिक्षा के समान अवसर हैं। यह बात बिलकुल ठीक है। सरकार ने अपने शिक्षण-संस्थानों में सब बच्चों को बिना किसी भेद-भाव के छूट दी है। गरीब से गरीब बच्चा भी पढ़ सकता है और खेल-कूद में भाग ले सकता है। आजकल कई राज्यों में तो प्राथमिक शिक्षा मुफ्त है। बड़ी कक्षाओं में भी फीस न के बराबर है। अत: हम कह सकते हैं कि सबके लिए खेलकूद और शिक्षा के समान अवसर हैं।

विपक्ष में विचार –
भारत में सभी बच्चों के लिए खेलकूद और शिक्षा के समान अवसर हैं, यह बात कहना झूठ ही नहीं, एक भद्दा मजाक है। यहाँ करोड़ों बच्चे भूखे रह जाते हैं। उन्हें पढ़ने और खेलने से पहले पेट भरने की चिंता खाने लगती है। उधर लाखों बच्चे बड़े-बड़े स्कूलों में पढ़ते हैं तथा हर खेल का आनंद लेते हैं। किसी गाँव के सरकारी स्कूल की तुलना किसी महानगर के बड़े स्कूल से करें तो पता चलेगा कि दोनों में जमीन-आसमान का अंतर है।

• ‘बाल श्रम की रोकथाम’ पर नाटक तैयार कर उसकी प्रस्तुति कीजिए।
उत्तर:
छात्र प्रस्तुत करें।

• चंद्रकांत देवताले की कविता ‘थोड़े से बच्चे और बाकी बच्चे’ (लकड़बग्घा हँस रहा है) पढ़िए। उस कविता के भाव तथा प्रस्तुत कविता के भावों में क्या साम्य है?
उत्तर:
स्वयं करें।

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Reach for the Top Extra Questions and Answers Short Answer Type

Reach For The Top Class 9 Extra Questions And Answers Question 1.
What made Santosh Yadav achieve fame and greatness?
Answer:
Santosh Yadav is the only woman in the world who has scaled Mt Everest twice. Santosh Yadav scaled Mt Everest when she was barely twenty years of age, becoming the youngest woman in the world to achieve the feat. Within twelve months, Santosh scaled the Everest a second time as a member of an Indo-Nepalese Women’s Expedition. She thus set a record as the only woman to have scaled the Everest twice.

Reach For The Top Extra Questions Question 2.
Why was the ‘holy man’, who gave Santosh’s mother his blessings, surprised?
Answer:
The holy man expected that like all other families in the villages, the family would also wish for the birth of a son. However, when he was told by Santosh’s grandmother that they wanted to have a daughter, he was surprised.

Extra Questions Of Reach For The Top Question 3.
What kind of society was Santosh born in?
Answer:
Santosh was born in Joniyawas, a small village in the Rewari District in Haryana. The society in this region was very conservative and orthodox. People were rigidly patriarchal and gender-biased. The birth of a girl was generally unwelcome and people strictly adhered to conservative traditions.

Reach For The Top Part 2 Extra Questions Question 4.
The grandmother wished her daughter-in-law give birth to a daughter. What light does this throw on her character?
Answer:
Despite being the member of a conservative family, the grandmother wished to be blessed with a granddaughter. This was because there were already five boys in the family. Hence, the family now wished for a daughter. This also shows her as a woman of progressive views.

Class 9 Reach For The Top Extra Questions Question 5.
What do you know about Santosh’s family?
Answer:
Santosh was born into an affluent family of landlords in a village, Joniyawas, in the Rewari district of Haryana. She was the sixth child in a conservative family, the only sister to five brothers. Though financially well-off, her family was orthodox and conservative in matters related to the education and upbringing of girls.

Class 9 English Reach For The Top Extra Questions Question 6.
Why was Santosh sent to the local school?
Answer:
Santosh’s parents were affluent and could afford to send Santosh to a school in Delhi. But they sent her to the local village school because they strictly followed tradition and it was customary in their society to send girls to the local school only.

Reach For The Top Part 1 Extra Questions Question 7.
How was Santosh different from the other girls of her village?
Answer:
Unlike other girls of her village, Santosh was not content with the traditional way of life. She used to wear shorts and went on to study further at Delhi. She did not get married at sixteen as most of the girls of her village did.

Reach For The Top Class 9 Extra Questions And Answers Part 2 Question 8.
Why was Santosh Yadav not content with a traditional way of life? What path did she choose and why?
Answer:
Right from childhood, Santosh was not content with a traditional way of life and felt that if she chose a correct and a rational path, the others around her had to change, not she. She wanted to chart her own course in life, rather than following the age-old customs and traditions. She wore shorts instead of traditional attire, went to study in Delhi when girls in her village got married. When her parents refused to pay for her education, she got them to agree by informing them of her plans to earn money by working part time to pay. her school fees. She chose the path of excellence through education, rational thinking and hard work and achieved unparalleled success as a woman mountaineer.

Reach On The Top Extra Question Answer Question 9.
When did Santosh leave home for Delhi, and why?
Answer:
Santosh left home for Delhi when she turned sixteen because her parents had begun to pressurize her to get married in keeping with the traditional practice in their community. She decided that it was the right moment to rebel and she quietly got herself enrolled in a school in Delhi to continue her studies.

Reach For The Top Class 9 Important Questions Question 10.
Why did Santosh’s parents agree to pay for her schooling in Delhi? What mental qualities of Santosh are brought to light by this incident?
Answer:
At the age of sixteen, Santosh got herself enrolled in a school in Delhi. When her parents refused to pay for her schooling in Delhi, she politely informed them that she planned to work part time in order to pay her fees. Her parents realized that their daughter was independent, had a strong will-power and firm self-belief. She could take her decisions and also stand by them. They saw her strong sense of conviction and her passion for education. So, they agreed to pay for her schooling in Delhi.

Reach For The Top Important Questions Question 11.
In what ways did Santosh show her dissatisfaction with the traditional life in the family?
Answer:
Santosh Yadav always opposed traditional ways. She wore shorts rather than wearing traditional dresses. She refused to give up her studies and get married at the age of sixteen. Though her parents put great pressure on her, she left her home and came to Delhi for high school, informing her parents she would earn her own money by working part-time if they refused to pay her fees.

Extra Questions Reach For The Top Question 12.
How did Santosh develop a liking for mountain climbing?
Answer:
From the window of her room in the Kasturba Hostel, Jaipur, Santosh used to watch the villagers going up the hills and then suddenly vanishing after a while. It inspired her to explore the hills. One day when she decided to check it out herself, she met a group of mountaineers. The mountaineers allowed her to join them and encouraged her to take up climbing. Thus, she developed liking for climbing.

Extra Questions For Reach For The Top Class 9 Question 13.
Why did Santosh decide to take up mountaineering?
Answer:
Santosh Yadav began to climb mountains when she met some mountaineers in the Aravalli Hills, who not only let her join them but also motivated her to take up mountaineering.

Extra Questions On Reach For The Top Question 14.
What did Santosh do after being motivated by the mountaineers to take to climbing?
Answer:
Santosh saved money and enrolled herself in a course at Uttarkashi’s Nehru Institute of Mountaineering and after completion of her semester in the college, headed straight for the Institute to be able to reach for her training in time.

Question 15.
Why did Santosh write a letter of apology to her father?
Answer:
Santosh had got herself enrolled in the Uttarkashi Nehru Institute of Mountaineering without seeking her father’s permission. She had thought of talking to her family about this during her holidays. But because her college term was extended by a few days, there was hardly any time between the end of the semester and her reporting date at the Institute. Due to her inability to go home, she wrote a letter of apology to her father.

Question 16.
What is the secret of Santosh’s success as a mountaineer?
Answer:
Santosh had a strong will power, great physical endurance and an amazing mental toughness. The single- minded determination and dedication helped her overcome all hurdles to emerge as a winner. She possessed a remarkable resistance to cold and high altitude. Her climbing skills and hard working nature made it easy for her.

Question 17.
When did Santosh get an opportunity to scale Mt. Everest?
Answer:
Santosh got an opportunity to scale Mt. Everest in 1992, just four years after she had met the mountaineers climbing the Aravalli Hills. She was hardly twenty years of age at that time when she became the youngest woman in the world to scale the highest peak.

Question 18.
How did Santosh’s seniors and fellow climbers appreciate her?
Answer:
Santosh’s her climbing skills, physical fitness, and mental strength impressed her seniors, while her concern for others and desire to work together with them found her a special place in the hearts of fellow climbers.

Question 19.
What incidents during the Everest expedition show Santosh’s concern for her team-mates?
Answer:
During the 1992 Everest expedition, one of her team-mates lay dying at the South Col. Santosh made all efforts to look after him. Unfortunately, the climber could not be saved. However, she did succeed in saving the life of another fellow-climber, Mohan Singh. Santosh shared her oxygen with him and saved his life. These incidents show her concern for her team mates.

Question 20.
When did Santosh scale the Mt. Everest for a second time?
Answer:
Santosh was invited by an Indo-Nepalese Women’s expedition to scale Mt. Everest within a year of her first expedition in 1992. Santosh joined them to climb the Everest for the second time. Thus, she scaled the Everest twice setting a record as the only woman to have scaled the Everest two times.

Question 21.
Why is Santosh Yadav’s name recorded twice for climbing Mount Everest?
Answer:
When she scaled the Mount Everest for the first time in 1992, Santosh Yadav, at the age of twenty, earned the credit for being the youngest woman in the world to climb the peak. She then scaled the Everest a second time just a year later, thus setting a record as the only woman to have scaled the Everest twice.

Question 22.
How did the government of India honour Santosh Yadav?
Answer:
Santosh Yadav, by the age of twenty-two had climbed Mt Everest, the highest mountain peak in the world twice, the only woman in the world to have done so. In recognition of her achievements, the Indian government bestowed upon her one of the nation’s top honours, the Padmashri.

Question 23.
What shows Santosh’s concern for the environment?
Answer:
As a fervent environmentalist, Santosh showed her concern for the environment by collecting and bringing down as much as 500kg of refuse that littered the mountains.

Question 24.
How did Santosh feel when she found herself on the ‘top of the world’ at the summit of the Everest?
Answer:
While standing on the “top of the world,” Santosh Yadav was overwhelmed with emotions of patriotism and bliss. She felt proud as an Indian when she unfurled the tricolour on Mount Everest. She was so happy that she experienced a kind of spiritual bliss. She found it hard to articulate her feelings and termed them as “indescribable”.

Question 25.
How did Santosh Yadav get into the record books?
Answer:
Santosh Yadav got into the record books for the first time when she scaled Mt. Everest at the age of twenty. She became the youngest woman in the world to climb Mt. Everest. She scaled the Everest for the second time next year, thus becoming the only woman in the world to do so.

Question 26.
How did Santosh Yadav set records both the times when scaled Mount Everest?
Answer:
Santosh Yadav set records both the times when scaled Mount Everest. When she scaled the peak for the first time she was the youngest woman to scale the Everest and when she climbed it the second time she was the only woman to scale it twice.

Question 27.
Describe Santosh’s fight against the system?
Answer:
Santosh came from a family that was conservative and orthodox. The society was patriarchal and the birth of a daughter, though not considered a curse, was not generally welcome. Girls were educated at the local school, and married off at the age of sixteen. Right from the beginning Santosh had to fight the system to assert for her right to equality and education. She never lost her spirit and determination. She defied all the customs and traditions which limit the girls within the spheres of family, marriage and children. She ventured into a man’s domain to become a role model for others.

Reach for the Top Extra Questions and Answers Long Answer Type

Question 1.
Briefly write what you learn about Santosh Yadav’s parents.
Answer:
Santosh Yadav’s parents were affluent but conservative people. Her father was a wealthy landlord from Joniyawas village of Rewari District in Haryana. Though they lived according to the prevailing customs in the village, their love for their daughter made them often give in to her wishes. They yielded to their daughter’s demands because they loved her dearly, and knew that she was sensible enough to have chosen a correct and a rational path. Thus, Santosh got full support from her parents, which in the long run helped her reach to the top.

Question 2.
Write a brief note on Santosh’s journey from her local village school to the Nehru Institute of Mountaineering at Uttarkashi.
Answer:
Born in an affluent but traditional and conservative landowners’ family in a small village of Rewari district in Haryana, Santosh was a rebel from early childhood. The local village school, but when her parents insisted she get married at the age of sixteen, she refused as she wanted to get a proper education first.

She got admission in Delhi school, despite her parents’ reluctance to send her there and informed them politely that she would earn by working part time. Santosh persuaded her parents to send her to Jaipur for higher studies after finishing high school. She got admission in Maharani College, Jaipur. She got a room in Kasturba Hostel which faced the Aravalli hills. She used to see the villagers going up the hill and disappearing.

This aroused her curiosity about the mountains. One day, when Santosh went near the hills, she met some climbers. They encouraged her to take to climbing. This whetted her interest in climbing and she saved money and took admission in Nehru Institute of Mountaineering at Uttarkashi.

Question 3.
“If I chose a correct and a rational path, the others around me had to change, not me”, said Santosh Yadav. How does her life justify her words?
Answer:
Born to conservative parents, Santosh did not want to let the norms of the patriarchal, gender-biased and rigidly conventional society dictate her life. Though her name means contentment, Santosh was not always content with her place in a traditional way of life and wanted to live life on her own terms. In fact, she believed that if she chose a correct and a rational path, others would have to change and align themselves to her choices, not her.

She wore shorts instead of traditional dresses as a child. Santosh resisted the pressure to get married at the young age of sixteen, declaring that she would not marry at all if denied proper education. Defying tradition, she got enrolled in a school in Delhi.

When her parents refused to pay for her schooling, she informed them that she would work part-time to manage her school fees. Seeing their daughter’s determination, her parents had to give in. Taking up mountaineering as her career was also an independent decision. However, she tried her best not to hurt her parents and wrote a letter of apology to her father for not having sought his permission before joining the Nehru Institute of Mountaineering in Uttarkashi. Thus, despite all odds, Santosh chose for herself a path which was absolutely unthinkable and unheard of for girls in an orthodox society.

Question 4.
Santosh “decided to fight the system in her own quiet way when the right moment arrived”. Elaborate.
Answer:
Santosh was a very rational and progressive girl, who wished to shape her life herself. She says, “From the very beginning I was quite determined that if I chose a correct and a rational path, the others around me had to change, not me.” Though it was not easy for a girl who came from a rigid patriarchal and traditional environment, she decided to fight the system in her own quiet way when the right moment arrived. And the right moment came when she turned sixteen. At sixteen, most of the girls in her village used to get married.

Santosh, too, was under pressure from her parents to do the same. Instead of giving in, she opposed her parents’ decision to marry her off at the early age of sixteen and got herself enrolled in a school in Delhi. When her parents refused to pay for her education in the city, she told them politely that she would earn money for her fees by working part-time. She politely but firmly made it clear that she was determined to overcome all obstacles.

Finally, her parents had to surrender. Her decision to take up mountaineering as a career was also handled very boldly by her. She took admission in Uttarkashi’s Nehru Institute of Mountaineering without seeking the permission of her parents leaving them with no choice but to accept her decision. Thus, Santosh rebelled against the orthodox, conservative system in a quiet but firm way.

Question 5.
Santosh had all the qualities of a good mountaineer. Comment.
Answer:
Mountaineering is a challenging career which demands great physical and mental strength. It requires boldness, fearlessness, sturdiness and faith in one’s abilities. Equipped with an iron will, physical endurance and an amazing mental toughness, Santosh Yadav was, in fact, made for mountaineering. Just within a span of four years of her training in mountain climbing, Santosh successfully scaled Mt. Everest” setting a record for being the youngest woman to climb Mt Everest.

She repeated this feat in less than a year’s time again and became the only woman in the world to have scaled the Everest twice. All this was made possible with her climbing skills, physical fitness and mental strength. Her resistance to cold and altitude proved to be added advantages. All these qualities, coupled with her team-spirit and her concern for her fellow climbers made her not only a good mountaineer but also a very popular one among her superiors and her fellow climbers.

Question 6.
Santosh is not only a good mountaineer but also a genuinely good human being. Discuss.
Answer:
Santosh Yadav proved her mountaineering skills quite early in her career. She displayed an unflinching will and a fearless mind that fought a rigid, orthodox society to rise to the top. But the iron will and mental toughness did not overshadow her qualities of co-operation and concern for others. That Santosh is endowed with a caring heart is obvious from the fact that she took great care of a climber who lay dying at the South Col. Though, the climber could not be saved, Santosh’s concern for him was really commendable.

In another incident, she saved the life of a fellow climber, Mohan Singh, by sharing her own oxygen with him. This sense of sacrifice and team-spirit won for her the esteem of her team-mates. Moreover, Santosh’s heart overflowed with patriotism when she unfurled the national flag on the top of Mt. Everest. Her concern for the purity of the environment also proves that she is a good human being. Such is her love for nature that she brought down five hundred kilograms of rubbish from the Everest. Thus, Santosh is blessed with the human qualities of both head and heart.

Reach for the Top Extra Questions and Answers Reference to Context

Read the extracts given below and answer the questions that follow.

Question 1.
The only woman in the world who has scaled Mt Everest twice was born in a society where the birth of a son was regarded as a blessing, and a daughter, though not considered a curse, was not generally welcome. When her mother was expecting Santosh, a travelling ‘holy man ’, giving her his blessing, assumed that she wanted a son. But, to everyone’s surprise, the unborn child’s grandmother, who was standing close by, told him that they did not want a son.

(a) Name the only woman in the world who has climbed Mt Everest twice.
Answer:
The only woman to climb Mt Everest twice is Santosh Yadav.

(b) What blessing did the holy man give her mother when she was expecting Santosh?
Answer:
The holy man blessed her mother that she give birth to a son.

(c) Why was the holy man, who gave Santosh’s mother his blessings, surprised?
Answer:
The holy man was surprised when the grandmother requested blessing for a girl.

(d) What does this show about her grandmother?
Answer:
Santosh’s grandmother was a progressive person who did not believe in conservative views.

Question 2.
The girl was given the name ‘Santosh ’, which means contentment. But Santosh was not always content with her place in a traditional way of life. She began living life on her own terms from the start.

(a) What was the girl named? How was she different from her name?
Answer:
The girl was named Santosh, which means contentment. She was not content with a traditional way of life.

(b) What kind of society was Santosh born in?
Answer:
Santosh was born in a society where the birth of a son was regarded as a blessing, and that of a daughter was not generally welcome.

(c) How did she began living her life from the beginning?
Answer:
Santosh lived her life on her own terms from the beginning.

(d) Give an instance of her unconventional behaviour from her childhood?
Answer:
While other girls wore traditional Indian dresses, Santosh preferred shorts.

Question 3.
“From the very beginning I was quite determined that if I chose a correct and a rational path, the others around me had to change, not me. ”

(a) Who speaks these words?
Answer:
Santosh Yadav, the mountaineer from Haryana, speaks these words.

(b) What kind of choices did the speaker make?
Answer:
Santosh Yadav always chose the correct and rational path.

(c) How was the speaker able to change those around her?
Answer:
Santosh Yadav was able to change those around her by making them yield to her firm decision through logic and rational argument.

(d) What light do these words throw on the speaker?
Answer:
These words show that right from her childhood, Santosh did not wish to follow conventions and tradition blindly, but had a logical and rational approach.

Question 4.
Santosh’s parents were affluent landowners who could afford to send their children to the best schools, even to the country’s capital, New Delhi, which was quite close by. But, in line with the prevailing custom in the family, Santosh had to make do with the local village school.

(a) What was Santosh’s family background?
Answer:
Santosh belonged to a wealthy landowning family of Haryana.

(b) Where did Santosh’s parents send their daughter to study? Why?
Answer:
Santosh’s parents sent their daughter to the local village school to study as it was customary to do so.

(c) What light does this throw on Santosh’s family?
Answer:
Santosh’s family members were conservative in their thought.

(d) At what age did Santosh begin to fight the prevailing customs?
Answer:
Santosh began to fight the system at the age of sixteen.

Question 5.
So, she decided to fight the system in her own quiet way when the right moment arrived. And the right moment came when she turned sixteen.

(a) Who is ‘she’ in this extract and which system did she decide to fight?
Answer:
‘She’ in the extract refers to Santosh Yadav, the famous mountaineer. She decided to fight the system of conservative traditions which blocked the progress of a person, especially a girl.

(b) How and why did she decide to fight the system?
Answer:
Santosh Yadav decided to fight the system in her quiet but firm way because she did not want to insult those who supported the traditions nor did she want to give in to the system.

(c) What was ‘the right moment’?
Answer:
The right moment was when she turned sixteen and was under pressure from her parents to get married like other girls of her village.

(d) What did’ she’ do at this moment?
Answer:
Santosh Yadav did not wish to get married at such a young age, so she threatened her parents that she would never marry if she was denied proper education.

Question 6.
A marriage as early as that was the last thing on her mind. She threatened her parents that she would never marry if she did not get a proper education. She left home and got herself enrolled in a school in Delhi.

(a) What is meant by “a marriage as early as that”?
Answer:
In Santosh’s village girls were married off at the age of sixteen.

(b) What did her parents want Santosh to do?
Answer:
Santosh’s parents wanted her to get married at the age of sixteen.

(c) What did Santosh do the escape parental pressure?
Answer:
Santosh Yadav left home and got herself enrolled in a school in Delhi.

(d) What light does this throw on Santosh’s character?
Answer:
Santosh was a person with a progressive way of thought and strong determination.

Question 7.
When her parents refused to pay for her education, she politely informed them of her plans to earn money by working part time to pay her school fees.

(a) Where did Santosh go for her education?
Answer:
Santosh decided to go to Delhi for her education.

(b) Why did her parents refuse to pay for her education?
Answer:
Her parents refused to pay for her education because Santosh did not follow the family tradition of getting married early and got herself enrolled in a school in Delhi against their wishes.

(c) What does this tell you about her parents?
Answer:
They were conservative and traditional in their thought and tried to pressurise their daughter into following the same path.

(d) How did she react to her parents’ decision?
Answer:
Santosh refused to give up her studies and told her parents that she would manage to pay her school expenses by working part time.

Question 8.
“I used to watch villagers from my room, going up the hill and suddenly vanishing after a while. One day I decided to check it out myself. I found nobody except a few mountaineers. I asked if I could join them. To my pleasant surprise, they answered in the affirmative and motivated me to take to climbing. ”

(a) From where did the speaker see people going up the hill?
Answer:
The speaker saw people going up the hill from her room in Kasturba Hostel, Jaipur.

(b) Where did she see the villagers going?
Answer:
She saw the villagers going up the hill.

(c) What did she decide to do one day?
Answer:
One day she decided check out climbing the hill for herself.

(d) How did this prove a turning point in her life?
Answer:
This climb up the hill with some mountaineers motivated her to take to mountaineering.

Question 9.
Then there was no looking back for this determined young girl. She saved money and enrolled in a course at Uttarkashi’s Nehru Institute of Mountaineering.

(a) What does the word ‘then’ imply?
Answer:
The word ‘then’ implies the point of time from when she took the decision to take up mountaineering.

(b) Why did she enrol herself at Uttarkashi’s Nehru Institute of Mountaineering?
Answer:
She enrolled herself at Uttarkashi’s Nehru Institute of Mountaineering to train for mountaineering.

(c) How did she pay for the course?
Answer:
She saved money and paid for the course.

(d) What light does this throw on Santosh’s character?
Answer:
This shows her strong determination and strength of purpose in her desire to pursue her goals.

Question 10.
I had to write a letter of apology to my father without whose permission I had got myself enrolled at Uttarkashi.

(a) Why did Santosh have to write a letter of apology to her father?
Answer:
Santosh Yadav had to write a letter of apology to her father because she had got herself enrolled for a mountaineering course without seeking his permission. Moreover, she did not have time to visit her parents as her course started immediately after her semester exams.

(b) Where had she enrolled herself and why?
Answer:
She had enrolled herself at the Uttarkashi’s Nehru Institute of Mountaineering in order to get proper training to pursue her interest in mountain climbing.

(c) Why didn’t Santosh seek her father’s permission before getting enrolled in the Institute?
Answer:
Santosh knew that her father would not allow her to pursue a career in mountaineering, so she decided to let her parents know about it after joining the institute.

(d) What light does this extract reflect on the speaker’s character?
Answer:
The extract shows that Santosh was adamant and determined to live life according to her choices. She did not mean to insult her parents in any way but at the same time did not wish to let go of her dreams and ambition.

Question 11.
Thereafter, Santosh went on an expedition every year. Her climbing skills matured rapidly. Also, she developed a remarkable resistance to cold and the altitude. Equipped with an iron will, physical endurance and an amazing mental toughness, she proved herself repeatedly.

(a) On what expedition did Santosh go every year?
Answer:
Santosh went on a mountaineering expedition every year.

(b) What skills did Santosh develop during her time at the Institute?
Answer:
At the Institute Santosh’s climbing skills matured rapidly. Also, she developed a remarkable resistance to cold and the altitude.

(c) What inherent skills did Santosh helped that helped her achieve success in mountaineering?
Answer:
Santosh possessed an iron will, an immense capacity for physical endurance and an amazing mental toughness that helped her achieve success in mountaineering.

(d) At what age did she climb Mt Everest for the first time?
Answer:
Santosh climbed Mt Everest in 1992, at barely twenty years of age, becoming the youngest woman in the world to do so.

Question 12.
If her climbing skills, physical fitness, and mental strength impressed her seniors, her concern for others and desire to work together with them found her a special place in the hearts of fellow climbers.

(a) Why were her seniors impressed with Santosh?
Answer:
Santosh’s seniors were impressed with her because of her climbing skills, physical fitness, and mental strength.

(b) What endeared her to her fellow climbers?
Answer:
Her team-spirit and her concern for her fellow climbers endeared her to them.

(c) Give an example of Santosh’s concern for others.
Answer:
Santosh Yadav tried her best to save the lives of two fellow climbers. She succeeded in saving the life of one, Mohan Singh, by sharing her oxygen with him.

(d) What great honour was given to Santosh by the Indian government in recognition of her achievements?
Answer:
In recognition of her achievements the Indian government bestowed upon her one of the nation’s top honours, the Padmashri.

Maria Sharapova

Reach for the Top Extra Questions and Answers Short Answer Type

Question 1.
Briefly describe Maria Sharapova.
Answer:
Maria Sharapova, the famous woman tennis player, won the women’s singles at Wimbledon in 2004 and attained the world number one position in women’s tennis in 2005. Though Russian by birth, she got tennis training in United States of America. She loves singing, dancing, reading novels and is very hardworking and dedicated.

Question 2.
How is Maria’s personality a mix of contrasts?
Answer:
The maturity, balanced mind and inner strength of Maria does not appear to be in accordance with her glamorous dress or her charming manner and ready smile. There seems to be some mismatch between her sophisticated outer appearance and her balanced inner-self.

Question 3.
Maria possesses some contradictory characteristics. What are they?
Answer:
Maria appears to be highly fashionable as far as her appearance is considered, but she possesses a charming nature that proves her to be friendly and simple. She appears to be sophisticated and yet warm and approachable. Her love for junk foods like pancakes with chocolate spread and orange drinks appears at odds with her fondness for evening gowns.

Question 4.
Explain: “all this happened in almost no time”.
Answer:
The phrase “all this happened in almost no time” means that Maria’s rose to the top in the world of tennis was very quickly and within a very short span of four years as a professional player she became the world number one in her chosen sport.

Question 5.
What does Maria declare to be her ‘mantra for success’?
Answer:
Maria works really hard to fulfill her dreams. She does not shy away from making any sacrifice. She does not allow herself to be emotional and sentimental. She is very competitive and works hard to be the best in whatever she does. She is driven by her hunger to succeed and the dream of becoming the world number one in women’s tennis. This is her mantra for success.

Question 6.
How was Maria different from other children?
Answer:
Maria was calmer and more composed, more confident and tolerant than the other children of her age. She also had inner strength that enabled her to make sacrifices – staying away from her mother, getting bullied by senior players in the hostel – that few children could think of making. Unlike most children, she did not buckle under hardships and adverse circumstances, but toiled hard to achieve success.

Question 7.
Why was Maria brought to Florida in the USA by her father? Why didn’t her mother go with her? How did Maria respond to this separation?
Answer:
Maria was brought to Florida, USA, by her father, Yuri, to get trained as a professional tennis player and reach great heights of success and stardom in this sport. Her mother, Yelena, did not go with her because of visa restrictions. This two-year separation was very painful for the young girl. But Maria endured this sacrifice to pursue her dreams.

Question 8.
How does Maria describe her journey from Siberia to United States?
Answer:
Maria was just nine years old when she had to leave her home, mother and her country to go to the United States. She had to make many sacrifices in a foreign land where she did not even speak the language. She was bullied by senior players and had to face a lot of humiliation and insults. But she did not give in. Her competitive nature and hard work helped her become the world number one in women’s tennis.

Question 9.
What important lesson did Maria learn during the first two years of her stay in the USA, away from her mother?
Answer:
During her first two years in USA, when she was living away from her mother Maria learnt that excellence comes at a price. Since she wished to reach the top in the field of tennis, she would have to make sacrifices and struggle hard. She endured the heart-wrenching separation from her mother for two years to attain her goal. Moreover, she also learnt how to put up patiently with adverse circumstances.

Question 10.
Maria’s father accompanied her to USA but why could he also not see her during her stay there?
Answer:
Maria’s father, Yuri, had brought his nine-year-old daughter to the USA to get her trained in tennis. U Unfortunately, he too could not see her frequently as he had to work very hard to earn to pay for her training.

Question 11.
How did some of the other pupils at the tennis academy trouble her? How did Maria cope with this?
Answer:
The other pupils at the tennis academy were much older than Maria and would return to the room around 11 pm when Maria was already asleep. They would wake her up and make her clean and tidy up the room. Maria coped with this trouble by not allowing it to depress her. Instead this strengthened her determination and mental toughness.

Question 12.
Why did Maria not retaliate against the humiliation at the hands of the other pupils?
Answer:
Maria was working hard to attain the world number one position in women’s tennis. She had no time to retaliate against others and their humiliation. She also had no time for sentiments. So, instead of retaliating against the humiliation at the hands of the other pupils, she took it as a challenge and worked harder to achieve success.

Question 13.
Despite being harassed by her seniors, why didn’t Maria think of quitting?
Answer:
Instead of letting the harassment by her seniors depress her and get her to quit, she became more quietly determined and mentally tough. She learnt how to take care of herself and never thought of quitting because she knew what she wanted. Her hunger for success and determination to achieve prompted her to put up with the humiliation and insults in order to steadfastly pursue her dream.

Question 14.
Describe Maria’s struggle to reach at the top of the world in the field of the women tennis.
Answer:
Maria started working to achieve her goal at a very young age, making any sacrifices required. She had to face separation from her mother and stay in completely unfamiliar and hostile surroundings for years. She also faced humiliation but never let it affect negatively. She took it as a challenge and with her mental toughness and competitive nature, she succeeded in achieving her goal.

Question 15.
What mental qualities of Maria are revealed by her decision not to quit and pack up on being harassed by her fellow-trainees?
Answer:
The torment and humiliation inflicted on Maria by her fellow trainees failed to demoralise her. This reveals that she had a firm determination and strong-will. She was much more mature than other girls of her age and knew the art of survival.

Question 16.
What makes Maria very hungry and determined?
Answer:
Maria came from a middle class background, where she had known deprivation. She didn’t want to miss any opportunity to succeed. She bore unfavourable and painful situations with forbearance. She lived apart from her mother, suffered bullying by older players, but never took it to heart. She said that if you came from nothing and you had nothing, it made you very hungry and determined.

Question 17.
What motivates Maria to keep moving ahead?
Answer:
Maria is motivated by her spirit of competitiveness to keep moving ahead. She works very hard once she has decided to achieve something. She considers it her job to excel despite severe hardships and demands.

Question 18.
Despite staying in America for years, Maria is a Russian at the core of her heart. Justify.
Answer:
Maria moved to Florida, USA, from Siberia at the young age of nine. Since then she has spent most part of her life here. Yet, she has remained a Russian through and through. She is proud of her Russian blood and Russian citizenship. She adds that she would play for Russia in the Olympics if given an opportunity.

Question 19.
Why does Maria call the US a big part of her life?
Answer:
Maria was trained for tennis in the US and attained the number one position in women’s tennis in the game as a result of the training. It was in the USA that she developed confidence, self-control, strength of will and endurance – qualities that are pre-requisites for a person to reach the top in any field. Since she gained all this in the US, she calls it a big part of her life.

Question 20.
In addition to tennis, what else is Maria fond of?
Answer:
Maria’s first love is tennis. Apart from this sport, she is fond of fashion, singing and dancing like any other young girl of her age. She also likes to read Arthur Canon Doyle’s novels, is fond of sophisticated evening gowns and enjoys pancakes with chocolate-spread and fizzy orange drinks.

Question 21.
What has lifted Maria Sharapova to the top of the world?
Answer:
Maria’s talent, her unwavering determination, her hunger for success, her willingness to work hard, her readiness to endure challenges, and her sacrifices have lifted her to the top of the world. In addition, monetary gains have motivated her to reach the top.

Question 22.
Why do her fans not grudge Maria her riches?
Answer:
Maria’s fans are aware of the immense hard work that has gone into making her attain the number one position in women’s tennis. The unparalleled sacrifices she made were investments that she is reaping the dividends of. Her earnest efforts and hard work have resulted in financial rewards that are well earned and well deserved. Therefore, nobody feels jealous of or grudges Maria her riches.

Question 23.
Why does Maria call tennis a business and a sport?
Answer:
Tennis is a competitive sport like any other and requires the player display stamina, nerve, determination, planning and strategizing. It is also a business because it is played professionally for money. Tennis tournaments involve millions of pounds being spent on sponsorship and prize money. Tennis generates a lot of business for media, drinks, clothes and sports companies too.

Question 24.
What makes How are Maria’s achievements significant?
Answer:
Maria exemplifies the success achieved through hard work and dedication. Her patience, determination, iron will and persistence and her hunger for success make her an ideal role model for the girls all over the world. Her winning Wimbledon and then becoming world’s number one woman tennis player also makes her achievement significant.

Question 25.
“Maria’s parents played an important role in her success? How? What other things motivated her?
Answer:
When Maria was only nine years old her training started. She moved to USA with her father, Yuri, leaving her mother, Yelena, behind in Russia as she had visa problems. In USA, her father had to work very hard to keep Maria’s tennis training going. Her mother stayed alone in Siberia without her husband and daughter to give her daughter the chance to succeed.

Reach for the Top Extra Questions and Answers Long Answer Type

Question 1.
What do you know about Maria Sharapova’s parents?
Answer:
Maria’s parents, Yuri and Yelena Sharapova, Maria Sharapova’s father and mother contributed to her success by identifing their daughter’s potential at a very young age and going all out to get her the best tennis training that could be had in the USA. They knew well that it was going to be expensive and difficult, still they extended their full support to their talented daughter.

Yuri worked very hard to pay for Maria’s training and Yelena tolerated the heart-wrenching separation from her dearly loved child for two years. As parents, they displayed unflinching faith in their child’s abilities which gave Maria the boost to keep going ahead and to overcome the challenges that came her way.

Question 2.
What problems did Maria face as a child while she trained at the tennis academy in Florida? What sustained her?
Answer:
As a young child Maria had to make many sacrifices and endure loneliness in her struggle to reach the top. She came to the U.S. at the young age of nine years without her mother, who could not accompany Maria and her father due to some visa restrictions. During the first two years of their heart-wrenching separation she missed her mother terribly.

Though her father had accompanied her to the USA, he too could not frequently visit her as he had to spend a lot of time to earn money to pay for Maria’s tennis training. Apart from it, the other trainees at the tennis academy in Florida bullied, tormented and humiliated her. They were inconsiderate to Maria who was much younger and woke her up late at night and made her tidy up and clean the room.

Yet, Maria never let these problems get the better of her. Her eyes firmly fixed on achieving her goal of becoming the number one player in women’s tennis, Maria endured the hardships without thinking of quitting. In fact, the problems she faced strengthened her will-power and made her even more determined to succeed.

Question 3.
One has to sacrifice something to achieve something good in life. Do you agree? Justify with reference to Maria Sharapova.
Answer:
Yes, I agree without sacrifice one can never achieve good things in life. Maria Sharapova is an example of the truth of this statement. Maria Sharapova had to sacrifice her childhood pleasures in order to become a tennis star. She left her home at a tender age to achieve her goal in life.

At the age of nine, she came to USA with her father. Her mother could not accompany her as she had some visa restrictions. Her father, who had accompanied her to USA, had to work very hard to pay for her tennis training. She was not able to meet him often. At the hostel, she was bullied by the older players, who woke her up late at night to clean and tidy up the room. If she had not sacrificed her childhood, she would not have become a star.

Question 4.
The lives of Santosh Yadav and Maria Sharapova have much in common to prove that determined and consistent hard work paves the way to success. Identify the points of comparison and contrast in the lives of these two great players.
Answer:
Santosh Yadav, the legendary mountaineer from India, and Maria Sharapova, Russia’s tennis sensation who trained in the USA, are living examples that single-minded determination and dedication and consistent hard work are the way to success. Both young women had to struggle against odds to reach the top. Santosh belonged to a small village in the Rewari district of Haryana while Maria came from the frozen plains of Siberia where she did not have adequate training facilities.

Although both girls were supported by their respective parents, Santosh, at times, had to struggle to make her conservative family agree to her decisions, while Maria’s parents were willing to make any sacrifice to help Maria succeed. However, both the young girls had to sacrifice the loving and protective environment of their homes in order to train for their passion.

Both the women had unwavering determination, physical and mental strength, and undivided focus on their goals. They both rose to the number one position in their respective areas within a short span of four years. While Sharapova moved from the frozen Siberia to the plains of Florida, Yadav moved from the plains of Rewari to the frozen Mount Everest. But both of them are devout patriots and their love for their country remains constant.

Reach for the Top Extra Questions and Answers Reference to Context

Read the extracts given below and answer the questions that follow.

Question 1.
There is something disarming about Maria Sharapova, something at odds with her ready smile and glamorous attire. And that something in her lifted her on Monday, 22 August 2005 to the world number one position in women’s tennis. All this happened in almost no time.

(a) What contrast does Maria present?
Answer:
Maria Sharapova has a charming manner and is quick to smile. This spontaneous behaviour is at odds with her glamorous attire.

(b) What position did Maria achieve in 2005?
Answer:
She became world number one in women’s tennis.

(c) How long had it taken her to reach this position?
Answer:
It had taken her merely four years to reach this position.

(d) Where had Maria come from? How old was she then?
Answer:
Maria had come to USA from Siberia at the age of nine.

Question 2.
However, the rapid ascent in a fiercely competitive world began nine years before with a level of sacrifice few children would be prepared to endure.

(a) What does the phrase “rapid ascent” refer to?
Answer:
The phrase “rapid ascent” refers to the short period of time in which Maria Sharapova achieved so much success.

(b) What had happened nine years ago?
Answer:
Nine years ago Maria had come to USA from Siberia to receive training in tennis.

(c) What sacrifice did Maria have to make?
Answer:
Maria came to USA with her father while her mother had to stay back in Russia.

(d) What lesson did this teach the young Maria?
Answer:
Maria learnt that that tennis excellence would only come at a price, and she would need to pay that price.

Question 3.
Little Maria had not yet celebrated her tenth birthday when she was packed off to train in the United States. That trip to Florida with her father Yuri launched her on the path to success and stardom. But it also required a heart-wrenching two-year separation from her mother Yelena.

(a) How old was Maria when she came to the United States?
Answer:
Maria Sharapova came to the United States when she was just nine years old.

(b) From where did she make the journey to Florida and why?
Answer:
She came to Florida from the frozen plains in Russia with the purpose of taking training in tennis.

(c) What was the ‘heart-wrenching’ thing about the journey?
Answer:
The ‘heart-wrenching’ thing was that she had to part from her mother for two years.

(d) Why could her mother not accompany her?
Answer:
Her mother could not accompany her because of visa restrictions.

Question 4.
“I used to be so lonely, ” Maria Sharapova recalls. “I missed my mother terribly. My father was working as much as he could to keep my tennis-training going. So, he couldn’t see me either. ”

(a) What does the word ‘recalls’ in the passage imply?
Answer:
The word ‘recalls’ implies that Maria is sharing her memories with someone.

(b) Why was Maria lonely at the time?
Answer:
Maria was staying at the tennis academy at the time. She was only nine years old and did not speak English so could not communicate with the others. That is why she felt very lonely.

(c) Why did Maria’s father have to work so hard?
Answer:
‘ Maria’s father worked hard to earn enough money for paying the fees at the tennis training academy at Florida. ‘

(d) Where was Maria’s mother at the time? How long did it take for her to arrive in USA?
Answer:
Maria’s mother was still in Russia at the time due to visa restrictions. She joined her husband and Maria after two years.

Question 5.
Instead of letting that depress me, I became more quietly determined and mentally tough.

(a) Where was the speaker at the time?
Answer:
The speaker, Maria Sharapova, was at the tennis academy at Florida.

(b) What was ‘that’ which could not depress her?
Answer:
The senior trainees in the tennis training academy at Florida bullied and tormented Maria. They would wake her up late at night and order her to tidy up the room and clean it.

(c) What was the impact of ‘that’ on her?
Answer:
‘That’ – or – the bullying of her seniors made her more determined and mentally strong.

(d) What does the extract reveal about the speaker’s character?
Answer:
The extract reveals that the speaker had the ability to face difficult situations boldly and not yield to adverse circumstances.

Question 6.
The straight looks and the answers she gives when asked about her ambition make it amply clear that she considers the sacrifices were worth it. “I am very, very competitive. I work hard at what I do. It’s my job. ” This is her mantra for success.

(a) How does Maria show she is not a sentimental person?
Answer:
Maria shows she is not sentimental by not talking too much on her struggle and sacrifice.

(b) What does the writer mean by “straight looks”?
Answer:
The writer means that as she talks about herself, Maria looks boldly and steadily, and does not show much emotion or sentimentality.

(c) What helped Maria win the women’s singles crown at Wimbledon in 2004?
Answer:
Her ambition and desire to succeed, her toughness and her competitive spirit helped Maria win the women’s singles crown at Wimbledon in 2004.

(d) Why does the writer say there is no room for sentiment in her life?
Answer:
Sentiment would make her softer and less competitive.

Question 7.
“I’m Russian. It’s true that the U.S. is a big part of my life. But I have Russian citizenship. My blood is totally Russian. I will play the Olympics for Russia if they want me. ”

(a) What light does this statement throw on Maria’s character?
Answer:
Maria Sharapova takes immense pride in her nationality.

(b) What does she say about the US?
Answer:
Maria acknowledges the contribution of the USA where she took training in tennis and became the world number one tennis player.

(c) Why does the speaker say, ‘My blood is totally Russian’?
Answer:
Maria claims this because she was born to Russian parents in Russia. She did spend a large part of her life in the USA, but she proudly declares her Russian identity.

(d) Given a chance, what will Maria like to do for Russia?
Answer:
Being a Russian, and proud of her nationality, Maria would like to represent Russia in the Olympics and make them proud, if given an opportunity.

Question 8.
Few would grudge her the riches she is now reaping.

(a) How is she ‘reaping’ the ‘riches’?
Answer:
Maria has been declared the number one in women’s tennis. She earns a good deal of money from her game.

(b) Why would few grudge her the riches?
Answer:
Everybody is aware of the fact that Maria has reached the top by making a lot of sacrifices and by working extremely hard. Hence, the riches that she is earning from her game are well deserved and everybody readily agrees on this.

(c) Why has the word ‘reaping’ been used for riches?
Answer:
The word ‘reaping’ has been used metaphorically. Just as reaping the harvest is the reward for the hard work of the farmer, similarly earning money is the reward for Maria Sharapova’s labour and sacrifice.

(d) What according to her is the biggest motivation for her to do well?
Answer:
The biggest motivation for Maria to do well is to become the World number one in tennis.

Question 9.
Tennis is a business and a sport, but the most important thing is to become number one in the world.

(a) Why does Maria call tennis “a business”?
Answer:
For Maria, playing tennis as a professional game requires following rules and regulations and hard work just as running a business does. Also, as in business, tennis too brings profits in terms of name, fame and money.

(b) According to Maria, why is tennis also a ‘sport’ in addition to being a business?
Answer:
Maria calls tennis a sport, in addition to being a business, as it gives excitement and thrill just like other sporting events do. Every match is filled with expectations and anxiety both among the players and the spectators.

(c) What light does the extract throw on Maria’s personality?
Answer:
The extract shows that Maria is very practical and pragmatic in her views. She does not deny that winning at tennis is monetarily rewarding.

(d) Why did Maria wish to become number one in the world?
Answer:
Maria’s childhood dream was to become the number one tennis player in the world. She worked very hard and made a lot of sacrifices to train herself for this feat.

Question 10.
Like any number of teenaged sensations, Maria Sharapova lists fashion, singing and dancing as her hobbies. She loves reading the novels of Arthur Conan Doyle. Her fondness for sophisticated evening gowns appears at odds with her love of pancakes with chocolate spread and fizzy orange drinks.

(a) What are Maria’s hobbies?
Answer:
Maria’s hobbies include fashion, singing and dancing.

(b) What does Maria like to read?
Answer:
Maria likes to read the novels of Arthur Conan Doyle.

(c) What contrast does Maria present in her tastes?
Answer:
While Maria lists fashion as her hobby and likes to wear sophisticated evening gowns, she is also fond of junk food like pancakes with chocolate spread and fizzy orange drinks.

(d) What light does this throw on Maria’s character?
Answer:
She combines the sophistication of a fashionista with the simplicity of a teenager.

 

RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A

Online Education for RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Solutions Class 9 Chapter 1 Real Numbers Ex 1A.

Other Exercises

Question 1.
Solution:
A number in the form of \(\frac { p }{ q }\) where p and q are integers and q ≠ 0, is called a rational number
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 1
are all rational numbers.

Question 2.
Solution:
The given rational number are represented on a number line on given below :
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 2
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 3
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 4

Question 3.
Solution:
We know that, if a and b are two rational numbers, then a rational number between a and b will be
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 5
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 6
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 7

Question 4.
Solution:
Here, n = 3, x = \(\frac { 1 }{ 5 } \), y = \(\frac { 1 }{ 4 } \)
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 8
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 9

Question 5.
Solution:
Here, n=5, x = \(\frac { 2 }{ 5 } \), y = \(\frac { 3 }{ 4 } \)
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 10
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 11
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 12

Question 6.
Solution:
Here, n = 6, x = 3, y = 4
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 13
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 14

Question 7.
Solution:
Here, n = 16, x = 2.1, y = 2.2
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 15
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 16
RS Aggarwal Class 9 Solutions Chapter 1 Real Numbers Ex 1A 17

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