Find the equation to the locus of a point which moves so that
the sum of the squares of its distances from the axes is equal to 9 units

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

Find the equation to the locus of a point which moves so that the sum of its distances from (3,0) and (-3,0) is less than 9.

Find the equation of the locus of a point which moves so that its distance from the x-axis is double of its distance from the y-axis.

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

Find the equation of the locus of a point which moves so that the difference of its distances from the points (3, 0) and (-3, 0) is 4 units.

Find the equation of the locus of a point which moves such that the ratio of its distances from (2,0) and (1,3) is 5:4.

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.