Question

Find the points which divide the line joining the points (−3, −4) and (−8, −7) (a) internally in the ratio 7:5 and (b) externally in the ratio 7:5.

Answer 1

See Fig.

Let us write A(−3, −4) and B(−8, −7).

 If point P(x, y) divides AB internally in the ratio 7:5, then

If point Q(α ,β) divides AB externally in the ratio 7:5, then