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This mock test of Test: Area Of Triangles for Class 10 helps you for every Class 10 entrance exam.
This contains 15 Multiple Choice Questions for Class 10 Test: Area Of Triangles (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

Solution:

Let A(x,−1),B(2,1) and C(4,5)

For the points to be collinear:

x1(y^{2}−y^{3})+x^{2}(y^{3}−y1)+x^{3}(y1−y^{2})=0

(i.e)x(1−5)+2(5+1)+4(−1−1)=0

⟹−4x+12−8=0

⟹x=1

QUESTION: 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

Solution:

QUESTION: 3

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

Solution:

QUESTION: 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

Solution:

QUESTION: 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

Solution:

QUESTION: 6

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

Solution:

QUESTION: 7

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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

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

Solution:

QUESTION: 11

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

Solution:

QUESTION: 12

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

Solution:

QUESTION: 13

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

Solution:

QUESTION: 14

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

Solution:

QUESTION: 15

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

Solution:

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