Question

if the point (x,y) is equidistant from the point (a+b,b-a) and (a-b,a+b) prove that bx= ay

Answer 1

2*x=a+b+a-b=2a =>x=a ..... (1)
2*y=b-a+a+b=2b =>y=b ......(2)
now divide 1 by 2 and you'll get
bx=ay