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Test: Area of Triangles - Class 10 MCQ


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15 Questions MCQ Test - Test: Area of Triangles

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Test: Area of Triangles - Question 1

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

Detailed Solution for Test: Area of Triangles - Question 1

Let A(x,−1),B(2,1) and C(4,5)
For the points to be collinear:
x1(y2−y3)+x2(y3−y1)+x3(y1−y2)=0
(i.e)x(1−5)+2(5+1)+4(−1−1)=0
⟹−4x+12−8=0
⟹x=1

Test: Area of Triangles - 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

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Test: Area of Triangles - Question 3

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

Detailed Solution for Test: Area of Triangles - Question 3

Let A(a, 1), B(1, -1) and C(11, 4) be the given points

Area of ΔABC

Test: Area of Triangles - 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​

Test: Area of Triangles - 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​

Test: Area of Triangles - Question 6

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

Test: Area of Triangles - Question 7

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

Test: Area of Triangles - 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​

Test: Area of Triangles - Question 9

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

Test: Area of Triangles - Question 10

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

Test: Area of Triangles - Question 11

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

Test: Area of Triangles - Question 12

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

Test: Area of Triangles - Question 13

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

Test: Area of Triangles - Question 14

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

Test: Area of Triangles - Question 15

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

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