Question

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

Answer 1

Answer:

Let P (x, y) be the required point.

Then,

x = 3 x 5 + 2 x 3 / 3 + 2                                y = 3 x 6 + 2 x (-2) / 3 + 2

  = 15 + 6 / 5                                                    = 18 - 4 / 5

  = 21/5                                                             = 14/5

So, the coordinates of P are (21/5, 14/5).