Sum of the squares of the distances from a point to (c,0) and (-c,0) is `4c^(2)` .Its locus is

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6. then its locus is

Find the equation of the locus of point P, the sum of the square of whose distances from the points A(0, 6, 0) and B(0, -6, 0) is 100.

The sum of the squares of the distances of a moving point from two fixed points (a,0) and (-a,0) is equal to a constant quantity 2c^(2). Find the equation to its locus.

The sum of the squares of the distances of a moving point from two fixed points (a,0) and (-a,0) is equal to a constant quantity 2c^(2) Find the equation to its locus.

The point on the line y = x such that the sum of the squares of its distance from the point (a, 0), (–a, 0) and (0, b) is minimum will be

If the sum of the squares of the distances of the point (x, y) from the points (a, 0) and (-a,0) is 2b^(2) , then which one of the following is correct ?

If the sum of the squares of the distances of the point (x, y) from the points (a, 0) and (-a, 0) is 2b^(2) , then which one of the following is correct ?

The locus of a point which moves in a plane so that the sum of the squares of its distances from the line ax + by + c=0 and bx -ay + d=0 is r ^(2), is a circle of radius