Find the ratio in which the points P (3/4, 5/12) divides the line segments joining the points A(1/2 , 3/2) and B(2, -5).

Question

Philoid · Accepted Answer

Given points are A(1/2 , 3/2) and B(2, -5)

Let the point P(3/4, 5/12) divide AB in ratio m:n.

By section formula,

x = , y =

For point P on the line joined by the points A and B.

= …(1)

And, = …(2)

Solving 1,

3(m + n) = 8m + 2n

∴3m + 3n = 8m + 2n

∴ 5m = n

∴ =

Hence, ratio is 1:5.