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.

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:

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

Find the locus of a point which moves so that sum of the squares of its distance from the axes is equal to 3.

The locus of the point,for which the sum of the squares of distances from the coordinate axes is 25 is

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?

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

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.