Question

Find the ratio in which the line joining points (a + b, b + a) and (a - b, b - a) is divided by the point (a, b).

Answer 1

Let A(a + b, b + a), B(a - b, b - a) and P(a, b) and P divides AB in k : 1 then :

.'. (a, b) divides A(a + b, b + a) and B(a - b, b - a) in 1 : 1 internally.