Question

Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) such that AP =(2/5)AB.

Answer 1

`AP=2/5 AB`

`"AP"/"AB"=2/5`

`"AP"/"PB"=2/3`

P divides AB in the ratio of 2 : 3 internally

`((6xx2+1xx3)/(2+3),(7xx2+2xx3)/(2+3))`

`=(15/5,20/5)`

`=(3,4)`

Co-ordinates of P(3, 4)