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

Find the point on the X -axis equidistant from the points (4, 3, 1) and (-2, -6, -2).

Find the equation to the locus of a point which moves in a plane such that its distance from the point (1, 2) is equal to its distance from the Y-axis.

Prove that the point (-2, -11) is equidistant from the points (-3, 7) and (4, 6).

Find the coordinate of a point equidistant from the given points A(2, 1), B(1, 2) and C(8, 9).

Find the coordinates of the points on the y-axis which is equidistant from the two points (4,-10) and (-4,18).

Find the co-ordinate of a point equidistant from the given point A(1, 0), B(0, 1) and C(2, 1).

Find the equation to the locus of a point whose distance from the X-axis is double its distance from the Y-axis.

Find the coordinates of points equidistant from the three given points A(5,3) , B(5,-5) and C(1,-5).

Find the equation to the locus of a point which moves such that the sum of the squares of its distances from the points A(1, 0) and B(-1, 0) is 10.

On what condition,will the point (x,y) be equidistant from the two points (7,1) and (3,5)?