# Coordinate Geometry Class 10 MCQ Online Test 2023

Today we bring you Coordinate Geometry Class 10 MCQ. In this post, you will find math-related questions and answers. You all know that math questions are asked in many exams. Also, even if you are not preparing for exams, you can further enhance your knowledge with the help of these notes. You can download all these notes very easily by clicking the button given below.

## Coordinate Geometry Class 10 MCQ Online Test

### Multiple Choice Questions, With Only One Correct Option

01. P is a point on x-axis at a distance of 3 units from y-axis to its left. The coordinates of P are:

(a) (3, 0) (b) (0, 3) (c) (–3, 0) (d) (0, –3)

02. The area of the triangle OAB, the coordinates of the points A(4, 0), B(0, –7) and O is origin, is:

(a) 11 sq.units (b) 18 sq.units (c) 28 sq.units (d) None of these

03. The distance between the lines 2x + 4= 0 and x – 5 = 0, is:

(a) 9 units (b) 1 unit (c) 5 units (d) 7 units

04. If ‘a’ is any positive integer such that the distance between the points P(a, 2) and Q(3, –6) is 10 units, then the value of ‘a’ is:

(a) –3 (b) 6 (c) 9 (d) 3

05. The points (1, 2), (–5, 6) and (a, –2) are collinear only if a = ______.

(a) –3 (b) 7 (c) 2 (d) 5

06. The point on the x-axis which is equidistant from (2, –5) and (–2, 9) is:

(a) (–7, 0) (b) (–5, 0) (c) (–6, 0) (d) (–7, 1)

07. The coordinate of a general point on x-axis is of the form:

(a) (x, 0) (b) (0, x) (c) (x, y) (d) None of these

08. If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are vertices of a parallelogram, taken in order, then the value of p is:

(a) 7 (b) 9 (c) 5 (d) 8

09. In what ratio is the segment joining the points A(6, 3) and B(–2, –5) divided by the x-axis?

(a) 3:2 (b) 3:5 (c) 2:3 (d) 2:5

10. The ratio in which the line joining the points (5, 3) and (–1, 6) is divided by y-axis is:

(a) 5:3 (b) 2:3 (c) 4:5 (d) 5:1

11. The centroid of a triangle with two vertices (3, –10), (–1, –9) is (2, –4). The coordinates of the third vertex are:

(a) (–4, –7) (b) (4, –7) (c) (4, 7) (d) (7, 4)

12. The distance of the point (2, 3) from the x-axis is:

(a) 2 units (b) 3 units (c) 4 units (d) 5 units

13. The distance of (–6, 8) from the origin is:

(a) 8 units (b) 27 units (c) 10 units (d) 6 units

14. AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). Square of the length of its diagonal is:

(a) 5 (b) 3 (c) 34 (d) 4

15. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is:

(a) 5 units (b) 12 units (c) 11 units (d) 10 units

16. The points (–4, 0), (4, 0) and (0, 3) are the vertices of a:

(a) Right triangle (b) Isosceles triangle (c) Equilateral triangle (d) Scalene triangle

17. Which of the following is a point on x-axis?

(a) (1, 0) (b) (0, 1) (c) (–1, 1) (d) (1, 1)

18. The ratio in which x-axis divides the line segment joining the points (5, 4) and (2, –3) is:

(a) 5:2 (b) 3:4 (c) 2:5 (d) 4:3

19. The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1:2 internally lies in the:

20. The point which lies on the perpendicular bisector of the line joining the points (–2, –5) and (2, 5) is given by:

(a) (0, 0) (b) (0, 2) (c) (2, 0) (d) (–2, 0)

21. The fourth vertex D of a parallelogram ABCD whose three vertices are A(–2, 3), B(6, 7) and C(8, 3) is:

(a) (0, 1) (b) (0, –1) (c) (–1, 0) (d) (1, 0)

22. What type of triangle do the points (3, 2), (–2, –3) and (2, 3) form?

(a) right triangle (b) equilateral triangle (c) isosceles triangle (d) None of these

23. The values of y for which the distance between the points P(2, –3) and Q(10, y) is 10 units, is:

(a) –9, 5 (b) –9, 3 (c) –9, 2 (d) –9, 6

24. The area of the triangle whose vertices are (1, –1), (–4, 6) and (–3, –5), is

(a) 26 sq.units (b) 34 sq.units (c) 24 sq.units (d) 28 sq.units

25. Two of the vertices of a ABC are A(–1, 4) and B(5, 2) and its centroid is (0, –3). The coordinates of the vertex C are:

(a) (4, 3) (b) (4, 15) (c) (–4, –15) (d) (–15, –4)

26. The equation of a line parallel to x-axis at a distance of 5 units below x-axis is:

(a) x = 5 (b) x – 5 (c) y =- 5 (d) y =-5x

### COORDINATE GEOMETRY

1. The point P on x -axis equidistant from the points A (- 1, 0) and B(5, 0) is

(a) (2, 0)
(b) (0, 2)
(c) (3, 0)
(d) (-3,5)

2. If the point P (6, 2) divides the line segment joining A (6,5) and B (4,y) in the ratio 3 1: then the value of y is

(a) 4
(b) 3
(c) 2
(d) 1

3. The co-ordinates of the point which is reflection of point (- 3, 5) in x -axis are

(a) (3, 5)
(b) (3, -5)
(c) (-3, – 5)
(d) (-3, 5)

4. If the point P (k, 0) divides the line segment joining the points A(2, -2 ) and B(- 7,4) in the ratio 1 : 2, then the value of k is

(a) 1
(b) 2
(c) -2
(d) -1

5. The coordinates of a point A on y -axis, at a distance of 4 units from x -axis and below it are

(a) (4, 0)
(b) (0, 4)
(c) (-4, 0)
(d) (0, -4)

6. The distance of the point (- 12, 5) from the origin is

(a) 12
(b) 5
(c) 13
(d) 169

7. Distance of point P(3, 4 ) from x -axis is

(a) 3 units
(b) 4 units
(c) 5 units
(d) 1 units

8. The distance of the point P ( -3 , – 4) from the x -axis (in units) is

(a) 3
(b) -3
(c) 4
(d) 5

9. The mid-point of the line-segment AB is P (0 ,4) if the coordinates of B are ( – 2, 3)  then the coordinates of A are

(a) (2, 5)
(b) (- 2 , -5)
(c) (2, 9)
(d) (-2, 11)

10. x -axis divides the line segment joining A(2, -3) and B(5, 6) in the ratio

(a) 2 : 3
(b) 3 : 5
(c) 1 : 2
(d) 2 : 1

11. The point which divides the line segment joining the points (8, -9) and (2, 3) in the ratio 1 : 2 internally lies in the

13. If the centre of a circle is (3, 5) and end points of a diameter are (4, 7) and (2, y ), then the value of y is

(a) 3
(b) -3
(c) 7
(d) 4

14. If the distance between the points A (4, p) and B (1, 0) is 5 units then the value (s) of p is (are)

(a) 4 only
(b) -4 only
(c) !4
(d) 0

15. If the points A(4, 3) and B (x, 5) are on the circle with centre O (2 ,3) then the value of x is

(a) 0
(b) 1
(c) 2
(d) 3

16. The ratio in which the point ( 2, y) divides the join of (- 4, 3) and (6, 3), hence the value of y is

(a) 2:3, y = 3
(b) 3:2, y = 4
(c) 3:2, y = 3
(d) 3:2, y = 2

17. The point on the x -axis which is equidistant from the points A(- 2, 3) and B(5, 4) is

(a) (0, 2)
(b) (2, 0)
(c) (3, 0)
(d) (- 2, 0)

18. C is the mid-point of PQ, if P is (4, x) C is (y, -1) and Q is (- 2, 4) then x and y respectively are

(a) -6 and 1
(b) -6 and 2
(c) 6 and -1
(d) 6 and -2

19. If x – 2 y + k = 0 is a median of the triangle whose vertices are at points A(- 1, 3) B( 0, 4) and C (- 5, 2 ) then the value of k is

(a) 2
(b) 4
(c) 6
(d) 8

20. The centroid of the triangle whose vertices are ( 3, – 7), (- 8, 6) and (5, 10) is

(a) (0, 9)
(b) (0, 3)
(c) (1, 3)
(d) (3, 5)

21. The distance of the point P (2, 3) from the x -axis is

(a) 2
(b) 3
(c) 1
(d) 5

22. The distance between the points A (0, 6) and B (0, – 2) is

(a) 6
(b) 8
(c) 4
(d) 2

23. The point which lies on the perpendicular bisector of the line segment joining the points A (-2, -5) and B (2, 5) is

(a) (0, 0)
(b) (0, 2)
(c) (2, 0)
(d) (-2, 0)

24. The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y -axis at

(a) (0, 13)
(b) (0, -13)
(c) (0, 12)
(d) (13, 0)

25. If points A (- 3, 12), B (7, 6)  and C (x, 9) are collinear, then the value of x is ……… .

(a) 2
(b) 3
(c) 4
(d) 5

26. The co-ordinate of the point dividing the line segment joining the points A (1, 3) and B (4, 6) in the ratio 2 : 1 is ……… .

(a) (5, 3)
(b) (3, 5)
(c) (4, 6)
(d) (6, 4)