  # Important Questions for CBSE Class 10 Maths Chapter 7 - Coordinate Geometry 1 Mark Question

## CBSE Class 10 Maths Chapter-7 Coordinate Geometry – Free PDF Download

Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 7 – Coordinate Geometry prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.

CBSE Class 10 Maths Chapter-7 Coordinate Geometry Important Questions

## 1 Mark Questions

1. The distance between the point is Ans. 2. The area of triangle whose vertices are (a) 21
(b) 32
(c) 24
(d) 25
Ans. (c) 24

3. The point lies in

4. The distance between the points (a) (b) 2
(c) 1
(d) Ans. (d) 5. If are the vertices of a parallelogram taken in order. Then is
(a) (6, 2)
(b) (6, 3)
(c) (6, 4)
(d) (3, 4)
Ans.(b) (6, 3)

6. The coordinates of the point which divides the join of in the ratio 2:3 is
(a) (1, 3)
(b) (2, 3)
(c) (3, 1)
(d) (1, 1)
Ans. (a) (1, 3)

7. The coordinates of a point A, where AB is the diameters of a circle whose centre and B is is
(a) (3, -9)
(b) (2, 9)
(c) (3, -10)
(d) (4, 5)
Ans. (c) (3, -10)

8. If the area of a quadrilateral ABCD is zero, then the four points A, B, C, D are
(a) Collinear
(b) Not collinear
(c) Nothing can be said
(d) None of these
Ans. (a) Collinear

9. The valve of K if the points and are collinear is
(a) (1)
(b) (-1)
(c) (2)
(d) (0)
Ans. (d) (0)

10. The mid-point of the line segment joining and is . The values of a and b is
(a) a=2, b=2
(b) a=1, b=3
(c) a=2, b=3
(d) a=1, b=1
Ans. (a) a=2, b=2

11. Coordinate of A and B are and The mid-point of AB is . The value of is
(a) (-1)
(b) (2)
(c) (3)
(d) (1)
Ans. (a) (-1)

12. The distance between and Q is 5. The value of a is
(a) (4, 2)
(b) (-4, -2)
(c) (4, -2)
(d) (4, 1)
Ans. (c) (4, -2)

13. On which axis point lie
(a) x-axis
(b) y-axis
(c) both
(d) none of these
Ans. (a) x-axis

14. The distance of the point from the origin is Ans. (b) 15. The coordinates of the mid-point of the line segment joining and is
(a) (1, -2)
(b) (1, 2)
(c) (1, 3)
(d) (-1, -2)
Ans. (a) (1, -2)

16. Two vertices of a are and If the coordinates of its centroid be then the coordinates of the third vertex C is
(a) (-1, -3)
(b) (1, 3)
(c) (-1, 3)
(d) (1, 2)
Ans. (c) (-1, 3)

17. The abscissa of every point on y-axis is
(a) 0
(b) 1
(c) 2
(d) -1
Ans. (a) 0

18. The ordinate of every point on -axis is
(a) 1
(b) 2
(c) 0
(d) -1
Ans. (c) 0

19. Find the distance between the following pairs of points:
(i) (2, 3), (4,1)
(ii) (–5, 7), (–1, 3)
(iii) (a, b), (–a, –b)
Ans. (i) Applying Distance Formula to find distance between points (2, 3) and (4,1), we get
d =   (ii) Applying Distance Formula to find distance between points (–5, 7) and (–1, 3), we get
d =   (iii) Applying Distance Formula to find distance between points (a, b) and (–a, –b), we get
d =   20. Determine the ratio in which the line 2x+y-4 = 0 divides the line segment joining the points A(2,-2) and B (3,7).
Ans. Let the line divides the line segment joining A and B (3, 7) in the ratio at point C. Then, the coordinates of C are  But C lies on , therefore       Hence, the required ratio if 2 : 9 internally.

21. Find a relation between and if the points and are collinear.
Ans. The points A B (1, 2) and C (7, 0) will be collinear if
Area of triangle = 0        