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.

The locus of a point equidistant from two intersecting lines is

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.

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

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 the perpendiculars let fall from it on the sides of an equilateral triangle is constant. Prove that its locus is a circle.

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

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

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