Question

If point P (3, 5) divides line segment which joins A(-2, 3) and B(x, y) in the ratio 4 : 7 internally, then find the co-ordinates of B.

Answer 1

Let the coordinate of point B is (x, y)

Let the point P(3, 5) divides the line segment joining the points A(-2, 3) and B(x, y) internally in the in the ratio 4 : 7.

So, x₁ = -2,     y₁ = 3       m₁ = 4

x₂ = x       y₂ = y        m₂ = 7

By section formula

Hence, the co-ordinate of point B is (47/4, 17/2)