If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.

Question

Philoid · Accepted Answer

Given points are A(1, 4) and B(5, 2). Let P be (x, y) and given ratio is 3:4.

By section formula,

x = , y =

For point P on AB,

x = , y =

x = and y =

Hence, required coordinates is P( , )