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

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

Philoid · Accepted Answer

Given: line segment A ( &ndash;2,5) and B(3, &ndash;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 = &ndash; 2, x2 = 3, y1 = 5 and y2 = &ndash; 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.