### Class 10 Maths Chapter 7 Coordinate Geometry MCQs

Class 10 Maths MCQs for Chapter 7 (Coordinate Geometry) are available online here with answers. All these objective questions are prepared as per the latest CBSE syllabusÂ and NCERT guidelines. MCQs for Class 10 Maths Chapter 7 are prepared according to the new exam pattern. Solving these multiple-choice questions will help students to score good marks in the board exams

### Class 10 Maths MCQs for Coordinate Geometry

1. The points (-1, â€“2), (1, 0), (-1, 2), (-3, 0) form a quadrilateral of type:

(a) Square

(b) Rectangle

(c) Parallelogram

(d) Rhombus

2. If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:

(a) 2

(b) -2

(c) 1

(d) -1

3. The midpoint of a line segment joining two points A(2, 4) and B(-2, -4) is

(a) (-2, 4)

(b) (2, -4)

(c) (0, 0)

(d) (-2, -4)

4. The distance of point A(2, 4) from the x-axis is

(a) 2 units

(b) 4 units

(c) -2 units

(d) -4 units

5. The distance between the points P(0, 2) and Q(6, 0) is

(a) 4âˆš10

(b) 2âˆš10

(c) âˆš10

(d) 20

6. If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3), the the value of p is:

(a) 7/2

(b) -12

(c) 4

(d) -4

7. The point which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:

(a) (-1, 3)

(b) (-1, -3)

(c) (1, -3)

(d) (1, 3)

8. The ratio in which the line segment joining the points P(-3, 10) and Q(6, â€“8) is divided by O(-1, 6) is:

(a) 1:3

(b) 3:4

(c) 2:7

(d) 2:5

9. The coordinates of a point P, where PQ is the diameter of a circle whose centre is (2, â€“ 3) and Q is (1, 4) is:

(a) (3, -10)

(b) (2, -10)

(c) (-3, 10)

(d) (-2, 10)

10. The area of a rhombus whose vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is:

(a) 12 sq.units

(b) 24 sq.units

(c) 30 sq.units

(d) 32 sq.units

11. The distance of the point P(â€“6, 8) from the origin is

(a) 8 units

(b) 2âˆš7 units

(c) 10 units

(d) 6 units

12. The distance between the points (0, 5) and (â€“5, 0) is

(a) 5 units

(b) 5âˆš2 units

(c) 2âˆš5 units

(d) 10 units

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

(a) 5

(b) 12

(c) 11

(d) 7 + âˆš5

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

(A) (a + b + c)Â²

(B) 0

(C) a + b + c

(D) ab

15. The point which lies on the perpendicular bisector of the line segment joining the points A(â€“2, â€“5) and B(2, 5) is

(a) (0, 0)

(b) (0, 2)

(c) (2, 0)

(d) (â€“2, 0)

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

(a) a = b

(b) a = 2b

(c) 2a = b

(d) a = â€“b

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

(a) 4

(b) -6

(c) 7

(d) -2

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

(a) (0, -5) and (2, 0)

(b) (0, 10) and (-4, 0)

(c) (0, 4) and (-10, 0)

(d) (0, -10) and (4, 0)

19. 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, â€“13)

(c) (0, 12)

(d) (13, 0)

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

(a) (0, 1)

(b) (0, â€“1)

(c) (â€“1, 0)

(d) (1, 0)

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 point P(1, 4) and Q(4, 0) is

(a) 4

(b) 5

(c) 6

(d) 3âˆš3

23. The points (-5, 1), (1, p) and (4, -2) are collinear if

the value of p is

(a) 3

(b) 2

(c) 1

(d) -1

24. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is

(a) 63

(b) 35

(c) 53

(d) 36

25. The distance of the point (Î±, Î²) from the origin is

(a) Î± + Î²

(b) Î±Â² + Î²Â²

(c) |Î±| + |Î²|

(d) âˆš(Î±Â²+Î²Â³)

#### Class 10 Maths Chapter 7 Coordinate Geometry MCQs

26. The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is

(a) 11

(b) 22

(c) 33

(d) 21

27. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are

(a) (3, 3)

(b) (- 3, 3)

(c) (3, â€“ 3)

(d) (-3,-3)

28. The line 3x + y â€“ 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

(a) 3 : 4

(b) 3 : 2

(c) 2 : 3

(d) 4 : 3

29. If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of â€˜aâ€™ is

(a) 12

(b) -6

(c) -12

(d) -4

30. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is

(a) -7 or -1

(b) -7 or 1

(c) 7 or 1

(d) 7 or -1

31. The points (1,1), (-2, 7) and (3, -3) are

(a) vertices of an equilateral triangle

(b) collinear

(c) vertices of an isosceles triangle

(d) none of these

32. The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is

(a) (4, 6)

(b) (16, 6)

(c) (8, 6)

(d) (16/3, 6)

14. Two vertices of a triangle are (3, â€“ 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is

(a) (10, 2)

(b) (-10,2)

(c) (10,-2)

(d) (-10,-2)

15. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is

(a) 0

(b) 1

(c) 2

(d) 3/2

16. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then

(a) 2a = b

(b) a = -b

(c) a = 2b

(d) a = b

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

(a) 6

(b) 8

(c) 4

(d) 2

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

(a) 8

(b) 2âˆš7

(c) 10

(d) 6

38. The distance between the points (0, 5) and (-5, 0) is

(a) 5

(b) 5âˆš2

(c) 2âˆš5

(d) 10

39. AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is

(a) 5

(b) 3

(c) âˆš34

(d) 4

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

(a) 5

(b) 12

(c) 11

(d) 7 + âˆš5

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

(a) 14

(b) 28

(c) 8

(d) 6

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

(Ð°) Right triangle

(b) Isosceles triangle

(c) Equilateral triangle

(d) Scalene triangle

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

(a) I quadrant

(b) II quadrant

(c) III quadrant

(d) IV quadrant

44. 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)

45. 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)

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

(a) AP = 1/3 AB

(b) AP = PB

(c) PB = 1/3 AB

(d) AP = 1/2 AB

47. If P (Î±3, 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value ofâ€˜aâ€™ is

(a) -4

(b) -12

(c) 12

(d) -6

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

(a) (0, 13)

(b) (0, -13)

(c) (0, 12)

(d) (13, 0)

49. 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

(a) (-34, 1)

(b) (2, 73)

(c) (5, â€“12)

(d) (-6, 52)

50. 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

(a) (0, -5) and (2, 0)

(b) (0, 10) and (-4, 0)

(c) (0, 4) and (-10, 0)

(d) (0, -10) and (4, 0)

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