Question

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

Answer 1

The point P divides AB in the ratio 3 : 4 

m : n = 3 : 4

P = (mx2 + nx1) / (m+n) , (my2 + ny1) / (m+n) 

A  = (x1,y1) = (1,4) ; B = (x2,y2) = (5,2) 

P = [ 15+4 / 7 , 6+16/7] = [19/7 , 22/7]

Answer 2

hope it helps..............