MCQ Class 10 Coordinate Geometry Set I

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The distance between the points (3,4) and (8,-6) is

3 √5 units

√5 units

5 √5 units

2 √5 units

Your comments:

Question 1 of 30

2. The ratio in which the line segment joining A(3,4) and B(-2,1) is divided by the y-axis is

2:3

1:2

3:2

2:5

Your comments:

Question 2 of 30

3. The point on x-axis which is equidistant from (5,9) and (-4,6) is

(1,0)

(3,0)

(2,0)

(4,1)

Your comments:

Question 3 of 30

4. One end of a line of length 10 units is at the point (-3, 2). If the ordinate of the other end be 10, then the abscissa will be

9 or -3

-9 or -3

3 or -9

3 or 9

Your comments:

Question 4 of 30

5. The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is

, then the coordinates of the point are

(2,1) or (3,6)

(2,1) or (6,3)

(1,2) or (3,5)

(1,2) or (3,6)

Your comments:

Question 5 of 30

6. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is

5x - 4y + 1 = 0

5x + 4y + 1 = 0

-5x - 4y + 1 = 0

-5x + 4y + 1 = 0

Your comments:

Question 6 of 30

2:1

1:2

1:1

1:4

Your comments:

Question 7 of 30

8. The join of (-2,6) and (2,0) is divided by y axis in the ratio 1:1, then the point on y axis is

(0,0)

(0,3)

(2,0)

(0,5)

Your comments:

Question 8 of 30

9. The area of triangle ABC with A(3,2), B(11,8) and C(8,12) in square units is

Your comments:

Question 9 of 30

10. The graph of the equation x = 3 is:

straight line parallel to x axis

straight line parallel to y axis

straight line passing through the origin

a point

Your comments:

Question 10 of 30

11. Find the value of K for which the points (2,5), (K,

), (4,6) are collinear

1/3

-1/3

-3

Your comments:

Question 11 of 30

12. The area of a triangle whose vertices are A(6,3), B(-3,5) and C(4,-2) is

49 sq. units

48 sq. units

49/2 sq. units

9/4 sq. units

Your comments:

Question 12 of 30

13. The vertices of ΔABC are (-2,1), (5,4) and (2,-3) respectively. The area of the triangle is

40 sq. units

50 sq.units

35 sq.units

20 sq. units

Your comments:

Question 13 of 30

14. If A(-5, 7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral then its area is

72 sq. units

27 sq.units

50 sq.units

80 sq.units

Your comments:

Question 14 of 30

15. The point on y-axis that is equidistant from (2,3) and (-4,1) is

(0,-2)

(0,-1)

(1,2)

(1,0)

Your comments:

Question 15 of 30

16. The point (-1,-5) lies in the Quadrant

4^th

3^rd

1^st

2^nd

Your comments:

Question 16 of 30

17. The perimeter of the triangle formed by the points A(0,0), B(1,0) and C(0,1) is

2 + √2

1 ± √2

√2 + 1

Your comments:

Question 17 of 30

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

Your comments:

Question 18 of 30

19. If the points A(7,-2), B(5,1) and C(3,k) are collinear, then the value of K is:

Your comments:

Question 19 of 30

20. One of the coordinates of the points of trisection of the line joining A(4, -1) and B(-2, -3) is:

(2, 0)

(7/3, 0)

(0, 2)

(0, 7/3)

Your comments:

Question 20 of 30

21. The area of a triangle whose vertices are A(2,7), B(3,-1) and C(-5,6) is

28.5 sq. units

30 sq. units

40 sq. units

35 sq. units

Your comments:

Question 21 of 30

22. The ratio in which the line 2x+y-4=0 divides the line segment joining A(2,-2) and B(3,7) is

8:9

4:3

1:9

2:9

Your comments:

Question 22 of 30

23. If the point C(-1,2) divides internally the line segment joining A(2,5)and B in the ratio 3:4 then the coordinates of B are

(5,7)

(-5,-2)

(3,2)

(-3,-7)

Your comments:

Question 23 of 30

24. The coordinates of the centre of a circle passing through (1, 2), (3, - 4) and (5, - 6) is:

(11, 2)

(-2, 11)

(2, 11)

(11, - 2)

Your comments:

Question 24 of 30

25. The third vertex of a triangle whose centroid is (1,4) and two vertices are (-1,4) and (3,-1) is

(9,10)

(1,9)

(0,5)

(-3,40)

Your comments:

Question 25 of 30

26. The third vertex of triangle ABC, if two of its vertices are B(-3,1), C(0,-2) and its centroid is at the origin is the point

(0,3)

(3,-3)

(3,1)

(2,3)

Your comments:

Question 26 of 30

27. AB is a diameter of a circle with centre C(-1,6). If the coordinates of A are (-7,3), then the coordinates of B are

(5,9)

( -5,-9)

(9,0)

(0,9)

Your comments:

Question 27 of 30

28. The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), is

27 sq. units

21 sq. units

10.5 sq. units

20.5 sq. units

Your comments:

Question 28 of 30

29.

Your comments:

Question 29 of 30

30. If A(3,-5), B(-7,4) and C (10,-2) are the vertices of triangle ABC, then the coordinates of the end point of the median through A are

(3/2, 1)

(1/2, 1)

(2,3)

(-2,-3)

Your comments:

Question 30 of 30

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