Question

Find the coordinates of the point which divides the line segments joining the points (5,-2) and (9,6) externally in the ratio of 3:1

Answer 1

$x = \frac{3 \times 5 - 1 \times 9}{3 - 1} = \frac{15 - 9}{2} = 3 \\ y = \frac{3 \times - 2 - 1 \times 6}{3 - 1} = \frac{ - 6 - 6}{2} = - 6$

Answer 2

therefore coordinatesof point are 11 and 10