Class 10,Mathematics, Coordinate Geometry (Area of Triangles)

1. There will be total 20 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 value of x, for which the points (x,-1), (2,1) and (4,5) lie on a line is

 2

 1

 3

 0

Question 1 of 20

2. The area of the triangle formed by joining the mid-points of the sides of the triangle, whose vertices are (0, -1), (2, 1) and (0, 3) is

 4

 2

 3

 1

Question 2 of 20

3. If the points (a,1), (1,-1) and (11,4) are collinear then the value of a is

 5

 -5

 6

  4

Question 3 of 20

4. If (3,0), (2,a), and (b,6) are the vertices of ABC whose centroid is (2,5), then the values of a and b are

  a = 3, b = -9

 a = 0, b = 2

 a = 1, b = 9

 a = 9, b = 1

Question 4 of 20

5. The area of a square ABCD, whose vertices are A(5,6),B(1,5),C(2,1) and D(6,2) is given

  10 sq. units

  34 sq. units

 7 sq. units

 17 sq. units

Question 5 of 20

6. In fig., the area of triangle ABC (in sq. units) is:

 7.5

 10

 2.5

 15

Question 6 of 20

7. Find the area of triangle whose vertices are (t, t-2), (t+23, t+2) and (t+3, t)?

 17t² sq units

 17t sq units

 17sq units

 34 sq units

Question 7 of 20

8. Find the value of K for which the points (2,5), (K, ), (4,6) are collinear

  -1/3

 3

  -3

 1/3

Question 8 of 20

9. The points (a,b + c), (b,c + a) and (c,a + b) are

  Collinear

  Non-collinear

 Concurrent

 All of the above

Question 9 of 20

10. The value of k for which the points A(2,3), B(4,k), and C(6,-3) are collinear.

  k = 9

 k = 4

 k = -6

  k = 0

Question 10 of 20

11. The area of the quadrilateral ABCD whose vertices are respectively A(1,1), B(7,-3), C(12,2) and D(7,21) is … Sq. units

  108

 127

 132

 144

Question 11 of 20

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

 40 sq. units

 20 sq. units

 50 sq.units

 35 sq.units

Question 12 of 20

13. The points (a, b + c), (b, c + a) and (c, a + b) are

  Non-collinear

 Collinear

 All of the above

 Concurrent

Question 13 of 20

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

 27 sq. units

 21 sq. units

 20.5 sq. units

 10.5 sq. units

Question 14 of 20

15. The value of x, for which the points (x,-1), (2,1) and (4,5) lie on a line is

 3

 1

 zero

 2

Question 15 of 20

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

 20

 25

 35

 30

Question 16 of 20

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

 A

 B

 C

 D

Question 17 of 20

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

 4

 2

 8

 6

Question 18 of 20

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

 35 sq. units

 28.5 sq. units

  30 sq. units

  40 sq. units

Question 19 of 20

20. If the points (8,1), (k,-4) and ( 2,-5) are collinear then the value of k is

 -3

 3

 9

 0

Question 20 of 20

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