Q31 of 157 Page 760

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

Three points A, B, C are said to be collinear if,

Area of triangle formed by three points is zero

⇒ Formula of Area of Triangle of three points is given as follows:

⇒ Area, A = 0

⇒ = 0

⇒ 1/2 × {[-b×1] – [-a×2]} = 0

⇒ 2a-b = 0

⇒ 2a = b

Hence Proved

The points P(0, 6), Q(-5, 3) and R(3, 1) are the vertices of a triangle, which is

If the points A(2, 3), B(5, k) and C(6, 7) are collinear then

The area of ΔABC with vertices A(3, 0), B(7, 0) and C(8, 4) is

AOBC is a rectangle whose the vertices are A(0, 3), O(0, 0) and B(5, 0). The length of each of its diagonals is