Coordinate Geometry 5 Modal with Answer Sheet Paper AS 2

If the points ( x y, )is equidistant from the points (a b b a + − , ) and (a b a b − + , ) prove that bx ay =ay

(−2,2 , ,8 ) ( x ) and(6, y) are three concyclic points whose centre is (2,5) . Find the possible value of x and y.