Question

Find find the coordinates of the Points which divides the line segment joining A(-5,11),B(4,-7) in the ratio7:2

Answer 1

Let (x, y) be the coordinates of the point which divides the line segment joining A(-5, 11) and B(4, -7) in the ratio of 7:2.

therefore

$x = \frac{7 \times 4 + 2 \times ( - 5)}{7 + 2} = \frac{28 - 10}{9} \\ \\ = \frac{18}{9} = 2 \\ \\ and \: \\ y = \frac{7 \times ( - 7) + 2 \times 11}{7 + 2} = \frac{ - 49 + 22}{9} \\ \\ = \frac{ - 27}{9} = - 3 \\ \\ therefre \: x = 2 \: and \: y = - 3 \\ \\ hence \: required \: coordinates \: are \:$

(2, -3)

hope it helps...