What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5) ​

Given:

The point divides the line segment joining points and .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get

On comparing both sides, we get

Multiply both sides by 4.

It can be written as

Therefore, the point P divides the line segment AB in 1:5.