Question

Prove that (x₁, y₁) will be coordinate of mid point of section cut by line x/2x₁ + y/2y₁ = 1.

Answer 1

Let straight line cuts x and y axis of points B and A and coordinates of points A and B are (0, 2y₁)

and (2x₁, 0) then their mid point bill be ((0 + 2x₁)/2, (0 + 2y₁)/2) or (x₁, y₁).