Find the coordinates of the point P which divides the join of A(-2,5) and B(3, -5) in the ratio 2:3.

Question

Philoid · Accepted Answer

Given: line segment A ( -2,5) and B(3, -5)

To find: the coordinates of the point P which divides the line segment AB into the ratio 2:3

Explanation: Given P divides the line segment AB into 2:3 ratio, let point P be denoted as P(x,y)

So, applying the section formula, we get

In this case, m₁ = 2, m₂ = 3

And x₁ = - 2, x₂ = 3, y₁ = 5 and y₂ = - 5

Substituting the above values in section formula, we get

Hence the P (0, 1)

So, the coordinates of the point P which divides the line segment AB into the ratio 2:3 are 0 and 1.