If the point `(x, y)` is equidistant from the points `(2, 3) and (6, -1)`, find the relation between `x and y`.

A point P (2, -1) is equidistant from the points (a,7) and (-3,a). Find a.

If the point P(x, y) be equidistant from the points A(a+b, a-b) and B(a-b, a+b) then

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

What point on y-axis is equidistant from the points (7,6) and (-3,4)?

If the point P(x ,\ 3) is equidistant from the points A(7,\ -1) and B(6,\ 8) , find the value of x and find the distance A P .

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

Find the point on x-axis which is equidistant from the points (-2,\ 5) and (2,\ -3) .

Find the point on y-axis which is equidistant from the points A(-4,3)and B(5,2)

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.

Find the point on y-axis which is equidistant from the points (3,1,2) and (5,5,3),