# 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

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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