Question

A(1,1) and B(2,-3) are two points and D is a point on AB produced such that AD=3AB.Find the co-ordinates of D.

Answer 1

we are given AD =3AB , AB +BD = 3AB ; 2AB = BD , therefore B divides AD in the ratio of 1:2.

let d be (x,y ) then applying formulae ,

2 = (x +2)/3 ; x = 4 and -3 = (y +2)/3 =-3 ; y =-11