## RS Aggarwal Class 10 Solutions Chapter 16 Co-ordinate Geometry MCQS

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry MCQS.

**Other Exercises**

- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16A
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16B
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16C
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16D
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry MCQS

**Choose the correct answer in each of the following questions.**

**Question 1.**

**Solution:**

Distance between P (-6, 8) and origin O (0, 0)

**Question 2.**

**Solution:**

Distance of the point (-3, 4) from x-axis = 4 (c)

**Question 3.**

**Solution:**

Let point P (x, 0) is on x-axis which is equidistant from points A (-1, 0) and B (5, 0)

**Question 4.**

**Solution:**

R (5, 6) is the midpoint of the line segment joining the points A (6, 5) and B (4, y)

**Question 5.**

**Solution:**

Point C (k, 4) divides the join of points A (2, 6) and B (5, 1) in the ratio 2 : 3

**Question 6.**

**Solution:**

Vertices of ∆ABC are A (0, 4), B (0, 0) and C (3, 0)

**Question 7.**

**Solution:**

A (1, 3), B (-1, 2), C (2, 5) and D (x, 4) are the vertices of a ||gm ABCD.

AB = CD

**Question 8.**

**Solution:**

Points A (x, 2), B (-3, -4) and C (7, -5) are collinear

**Question 9.**

**Solution:**

Area of ∆ABC whose vertices are A (5, 0), B (8, 0) and C (8, 4)

**Question 10.**

**Solution:**

Area of ∆ABC with vertices A (a, 0), O (0, 0) and B (0, b)

**Question 11.**

**Solution:**

P( \(\frac { a }{ 2 }\), 4) is midpoint of the line segment joining the points A (-6, 5) and B (-2, 3)

**Question 12.**

**Solution:**

ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3)

**Question 13.**

**Solution:**

Let coordinates of P be (x, 7)

P divides the line segment joining the points A (1, 3) and B (4, 6) in the ratio 2 : 1

**Question 14.**

**Solution:**

Let coordinates of one end of diameter of a circle are A (2, 3) coordinates of centre are (-2, 5)

Let coordinates of other end B of the diameter be (x, y)

**Question 15.**

**Solution:**

In the given figure, P (5, -3) and Q (3, y) are the points of trisection of the line segment joining A (7, -2) and B (1, -5)

**Question 16.**

**Solution:**

Midpoint of AB is P (0, 4) coordinates of B are (-2, 3)

**Question 17.**

**Solution:**

Let point P (x, y) divides AB with vertices A(2, -5) and B (5, 2) in the ratio 2 : 3

**Question 18.**

**Solution:**

A (-6, 7) and B (-1, -5) two points, then

**Question 19.**

**Solution:**

Let point P (x, 0) on x-axis is equidistant from A (7, 6) and B (-3, 4)

**Question 20.**

**Solution:**

Distance of P (3, 4) from the x-axis = 4 units. (b)

**Question 21.**

**Solution:**

Let a point P (x, 0) on x-axis divides the line segment.

AB joining the points A (2, -3) and B (5, 6) in the ratio m : n.

**Question 22.**

**Solution:**

Let a point A (0, y) on y-axis divides the line segment PQ joining the points P (-4, 2) and Q (8, 3) in the ratio of m : n.

**Question 23.**

**Solution:**

P (-1, 1) is the midpoint of line segment joining the points A (-3, b) and B (1, b + 4)

**Question 24.**

**Solution:**

Let the point P (x, y) divides the line segment joining the points A (2, -2) and B (3, 7) in the ratio k : 1, then

**Question 25.**

**Solution:**

AD is the median of ∆ABC with vertices A (4, 2), B (6, 5) and C (1, 4)

**Question 26.**

**Solution:**

A (-1, 0), B (5, -2) and C (8, 2) are the vertices of a ∆ABC then centroid

**Question 27.**

**Solution:**

Two vertices A (-1, 4), B (5, 2) of a ∆ABC and its centroid G is (0, -3)

Let (x, y) be the co-ordinates of vertex C, then

**Question 28.**

**Solution:**

Points A (-4, 0), B (4, 0) and C (0, 3) are vertices of a ∆ABC.

**Question 29.**

**Solution:**

Points P (0, 6), Q (-5, 3) and R (3, 1) are the vertices of a ∆PQR

**Question 30.**

**Solution:**

Points A (2, 3), B (5, k) and C (6, 7) are collinear

Area of ∆ABC = 0

**Question 31.**

**Solution:**

Points A (1, 2), B (0, 0) and C (a, b) are collinear

Area of ∆ABC = 0

**Question 32.**

**Solution:**

A (3, 0), B (7, 0) and C (8, 4)

Area ∆ABC

**Question 33.**

**Solution:**

AOBC is a rectangle with vertices A (0, 3), O (0, 0) and B (5, 0) and each diagonal of rectangle are equal.

**Question 34.**

**Solution:**

Points are A (4, p) and B (1, 0)

Distance = 5 units

Hope given RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry MCQS 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.