Question

If A and B are (– 2, – 2) and (2, – 4) respectively; then find the co-ordinates of the point P such that `(AB)/(AB) = 3/7`.

Answer 1

`(AP)/(AB) = 3/7`

∴ `(AP)/(PB) = 3/4`

`P((m_1x_2 + m_2x_1)/(m_1 + m_2), (m_1y_2 + m_2y_1)/(m_1 + m_2))`

= `(3 xx 2 + 4(-2))/(3 + 4), (3 xx -4 + 4 xx (2))/(3 + 4)`

= `((-2)/7, 4/7)`