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 in such a way that the sum of the squares of its distances from the four sides of a square is consant (=2c^(2)) is

Find the locus of a point which moves in such a way that the sum of its distances from the points (a, 0, 0) and (a, 0, 0) is constant.

Find the locus of a point whilch moves in such a way that the sum of its distances from the points (a,0,0) and (a,0,0) is constant.

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

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.

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.

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 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.