A point moves so that the sum of the squares of its distances from the four sides of a square is constant , prove that it always lies on a circle

Find the locus a point which moves in such a way that the sum of squares of its distances s from the four sides of a square is constant. Does it represent a circle?

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant.Prove that its locus is an ellipse.

A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9, the locus of such point is

A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9, the locus of such point

Prove that the locus of a point which moves such that the sum of the square of its distances from the vertices of a triangle is constant is a circle having centre at the centroid of the triangle.

The locus of a point which moves such that the sum of the squares of the distances from the three vertices of a triangle is constant, is a circle whose centre is at the:

A point moves such that the sum of the squares of its distances from the two sides of length a of a rectangle is twice the sum of the squares of its distances from the other two sides of length b.The locus of the point can be:

The locus of a point which moves such that the sum of the square of its distance from three vertices of a triangle is constant is a/an circle (b) straight line (c) ellipse (d) none of these