Question
A point P divides a line segment AB in the ratio A : 1. Give the values of A for which P lies outside AB and
(i) nearer A than B (ii) nearer B than A.
Solution
When P lies outside AB and is nearer to A than B. then AP<PB.
Also division is external
∴ – 1 < λ < 0
When P is nearer to B than A, the AP > PB
∴ λ < – I
