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
CBSE Class 10 Maths Important Questions Chapter 7 – Coordinate Geometry
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
(a) 1st quadrant
(b) 2nd quadrant
(c) 3rd quadrant
(d) 4th quadrant
Ans. d) 4th quadrant
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
