Find the equation to the locus of a point which moves so that
its distance from the axis of x is always one half its distance from the origin.

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.

What is the equation of the locus of a point which moves such that 4 xx its distance from the x-axis is the square of its distance from the origin

Find the locus of a point which moves such that its distance from the origin is three xx its distance from x-axis.

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point ((a)/(k),0) (k ne 1) is

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 locus of a point which moves so that its distance from (1,2,3) is four times its distance from YZ plane