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Students can also refer to NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations for Two Variables for better exam preparation and score more marks.

## Online Education Linear Equations for Two Variables Class 9 MCQs Questions with Answers

Linear Equations In Two Variables Class 9 MCQ Question 1.
The value of y at x = -1 in the equation 5y = 2 is
(a) $$\frac{5}{2}$$
(b) $$\frac{2}{5}$$
(c) 10
(d) 0

Answer: (b) $$\frac{2}{5}$$

Class 9 Maths Chapter 4 MCQ Question 2.
Equation of a line which is 5 units distance above the x-axis is
(a) x = 5
(b) x + 5 = y
(c) y – 5
(d) x – y = 0

This calculator will solve the system of linear equations calculator of any kind.

Linear Equations In Two Variables MCQ Class 9 Question 3.
x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is
(a) 0
(b) $$\frac{1}{2}$$
(c) 2
(d) 3

Answer: (b) $$\frac{1}{2}$$

Ch 4 Maths Class 9 MCQ Question 4.
Which of the following is the equation of a line parallel to y-axis?
(a) y = 0
(b) x + y = z
(c) y = x
(d) x = a

Class 9 Linear Equations In Two Variables MCQ Question 5.
Any point on the line y = 3x is of the form
(a) (a, 3a)
(b) (3a, a)
(c) (a, $$\frac{a}{3}$$)
(d) ($$\frac{a}{3}$$, -a)

Question 6.
To which equation does the graph represent?

(a) 3x – 7y = 10
(b) y – 2x = 3
(c) 8y – 6x = 4
(d) 5x +$$\frac{35}{2}$$y = 25

Answer: (c) 8y – 6x = 4

Question 7.
Any point of the form (a, – a) always lie on the graph of the equation
(a) x = -a
(b) y = a
(c) y = x
(d) x + y = 0

Answer: (d) x + y = 0

Question 8.
The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
(a) (0, 3)
(b) (3, 0)
(c) (2, 0)
(d) (0, 2)

Question 9.
Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.
(a) ($$\frac{-c}{a}$$, 0), (0, $$\frac{-c}{b}$$)
(b) (0, $$\frac{-c}{b}$$, 0), ($$\frac{-c}{a}$$, 0)
(c) (-c, 0) (0, -c)
(d) (x, 0) (y, 0)

Answer: (a) ($$\frac{-c}{a}$$, 0), (0, $$\frac{-c}{b}$$)

Question 10.
Which of the following ordered pairs is a solution of the equation x – 2y – 6?
(a) (2, 4)
(b) (0, 3)
(c) (-4, 1)
(d) (4, -1)

Question 11.
How many linear equation in x and y can be satisfied by x = 1 and y = 2?
(a) only one
(b) two
(c) infinitely many
(d) three

Question 12.
Solution of linear equation 2x + 0.y + 9 = 0 is
(a) ($$\frac{9}{2}$$, m)
(b) (n, $$\frac{-9}{2}$$)
(c) (0, $$\frac{-9}{2}$$)
(d) ($$\frac{-9}{2}$$, 0)

Answer: (d) ($$\frac{-9}{2}$$, 0)

Question 13.
If (3, 2) is the solution 3x – ky = 5, then k equals of the equation
(a) 2
(b) 4
(c) 3
(d) $$\frac{1}{2}$$

Question 14.
Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
(a) x – 2y – 10 = 0
(b) 2x – y – 10 = 0
(c) 2x + y – 10 = 0
(d) x – 2y + 10 = 0

Answer: (a) x – 2y – 10 = 0

Question 15.
If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is
(a) 6x + y = 5
(b) x = 6y + 5
(c) x + 6y = 5
(d) x – 6 = 5

Answer: (b) x = 6y + 5

Question 16.
Equation of a line passing through origin is
(a) x + y = 1
(b) x = 2y – 4
(c) x + y = 0
(d) y = x – 1

Answer: (c) x + y = 0

Question 17.
The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
(a) a ≠ 0, b = 0
(b) b ≠ 0, a = 0
(c) a = 0, b = 0
(d) a ≠ 0, b ≠ 0

Answer: (d) a ≠ 0, b ≠ 0

Question 18.
The maximum number of points that lie on the graph of a linear equation in two variables is.
(a) two
(b) definite
(c) infinitely many
(d) three

Question 19.
Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation
(a) y – x
(b) x + y = 0
(c) y = 2x
(d) 2 + 3y = 7x

Answer: (b) x + y = 0

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