A point movs in such a manner that the sum of the squares of its distances from the points `(a,0) and (-a, 0) ` is `2b^(2).` Then the locus of the moving point is-

A point moves in such a manner that the sum of the squares of its distances from the origin and the point (2, -3) is always 19. Show that the locus of the moving point is a circle. Find the equation to the locus.

Find the locus of the point such that the sum of the squares of its distances from the points (2, 4) and (-3, -1) is 30.

A point moves in such a way that the difference of its distances from two points (8,0) and (-8,0) always remains 4 . Then the locus of the point is _

The point P moves such that the sum of the squares of its distances from two fixed points A(a,0),B(-a,0) is 8a^(2) the locus of P is

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

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

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 _

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

A point moves in such a way that the difference of its distance from two points (8,0) and (-8,0) always remains 4. then the locus of the point is