Question

If the point p(x, y) is equal distance from the point q(a+b, b-a) and r(a-b, a+b) then prove that ax=ay

Answer 1

Answer:Your question might be wrong.Actually it should have been prove that bx=ay.

Step-by-step explanation:

distance of p from q=$\sqrt({x} -a} -b)^2 +(y-b-a)^2$

distance of r from p=$\sqrt({x} -a+b)^2 + (y-a-b)^2$

as p is equidistant from q and r so on equating & cancelling we get 2ay - 2bx = 2bx- 2ay

or, 4ay=4bx

or, bx=ay.

Hence Proved!