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

Condition when donot involve a variable: ( i ) The sum of the square of the distances of a moving point from two fixed point (a;0) and (-a;0) is equal to the 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 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.

If the sum of the distances of a moving point from two fixed points (ae, 0) and (-ae, 0) be 2a , prove that the locus of the point is: x^2/a^2+ y^2/(a^2 (1-e^2) =1

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

Find the locus of the point,the sum of whose distances from the points A(4,0,0) and B(-4,0,0) is equal to 10.

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