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