Find `x` if the point `(x,5)` is equidistant from the point `(1,2) and (3,8)`.

Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (- 3, 4).

Find a relation between x and y such that the point (x , y) is equidistant from the points (7, 1 ) and (3, 5) .

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

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

Find the points on x-axis which is equidistant from the points (7, 6) and (- 3, 4).

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

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, - 1).

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3, 2, -1).

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the locus of a point, which is equidistant from the points (-1, 2, 3) and (3, 2, 1).