Class 10 Maths Coordinate Geometry MCQ

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Class 10 Maths Coordinate Geometry MCQ


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





ANSWER= A. (0, 0)

 

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





ANSWER= B. (0, -1)

 

3. If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then





ANSWER= D. AP = 12 AB

 

4. If P (α3, 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of‘a’ is





ANSWER= B. -12

 

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





ANSWER= A. (0, 13)

 

6. A circle drawn with origin as the centre passes through (132, 0). The point which does not lie in the interior of the circle is





ANSWER= D. (-6, 52)

 

7. A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively





ANSWER= D. (0, -10) and (4, 0)

 

8. The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is





ANSWER= B. 0

 

9. If the distance between the points (4, P) and (1, 0) is 5, then the value of P is





ANSWER= B. ± 4

 

10. If the points A(1, 2), O(0, 0), C(a, b) are collinear, then





ANSWER= C. 2a = b

 

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





ANSWER= B. (2,0)

 

12. The distance of the point P(-6,8) from the origin is





ANSWER= D. 10

 

13. If R(5,6) is the midpoint of the line segment AB joining the points A(6,5) and B(4,4) then y equals





ANSWER= B. 7

 

14. If the point C(k,4) divides the join of the points A(2,6) and B(5,1) in the ratio 2:3 then the value of k is





ANSWER= C. 16/5

 

15. The distance of the point (-3, 4) from x-axis is





ANSWER= C. 4

 

16. The perimeter of the triangle with vertices (0,4), (0,0) and (3,0) is





ANSWER= D. 12

 

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





ANSWER= B. 4

 

18. The midpoint of segment AB is P(0,4). If the coordinates of B are (-2, 3), then the coordinates of A are





ANSWER= A. (2,5)

 

19. If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is





ANSWER= A. -63

 

20. The area of a triangle with vertices A(5,0), B(8,0) and C(8,4) in square units is





ANSWER= C. 6

 

21. The coordinates of the point P dividing the line segment joining the points A(1,3), and B(4,6) in the ratio 2:1 is





ANSWER= B. (3,5)

 

22. If the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5), then the coordinates of the other end of the diameter are





ANSWER= A. (-6,7)

 

23. If A(-6,7) and B(-1,-5) are two given points then the distance 2AB is





ANSWER= B. 26

 

24. ABCD is a rectangle whose three vertices are B(4,0), C(4,3) and D(0,3) The length of one of its diagonals is





ANSWER= A. 5

 

25. Which point on x-axis is equidistant from the points A(7,6) and B(-3,4)





ANSWER= C. (3,0)

 

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





ANSWER= B. 3

 

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





ANSWER= B. 8

 

28. The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is





ANSWER= C. 8

 

29. The points (-4, 0), (4, 0), (0, 3) are the vertices of a





ANSWER= B. Isosceles triangle

 

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





ANSWER= D. IV quadrant

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