If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), prove that x=y

If the point P(x ,\ y) is equidistant from the points A(5,\ 1) and B(1,\ 5) , prove that x=y .

(i) If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay. (ii) If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal then prove that 3x =2y.

If the point P(x,y) is equidistant from the points A(a+b,b-a) and B(a-b,a+b). Prove that bx=ay.

If the point (x, y) is equidistant from points (7, 1) and (3, 5) , find x-y.

Point P(x,y) is equidistant from the points A(-2,0) and B(3,-4) Prove that : 10 x - 8 y = 21.

If the point (x , y) is equidistant from the points (a+b , b-a) and (a-b , a+b) , prove that b x=a y

If the point P(x,y) is equidistant from the two points A(a,b) and B(b,a),then show that x=y.

If the point (x , y) is equidistant from the points (a+b , b-a) and (a-b , a+b) , prove that b x=a ydot