Question

Find the co-ordinates of the point which divides the line segment joining the points (5, -2) and  (-1(1/2), 4) in the ratio 7 : 9 externally.

Answer 1

Let point P(x, y) divides the line segment joining the points A(5, -2) and B(-1(1/2), 4)  externaly in the ratio 7 : 9.

x₁ = 5      y₁ = -2    m₁ = 7

x₂ = -1    y₂ = 4    m₂ = 9

By formula of external division

Hence, the coordinate of P is (27(3/4), - 23)