A point P moves so that its distance from the line given by `x=-3` is equal to its distance from the point (3, 0). Show that the locus of P is `y^(2)=12x`.

Find the locus of the point such that its distance from the y-axis is equal to its distance from the point (1, 1).

A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

A point moves such teat its distance from the point (4,0) is half that of its distance from the line x=16 , find its locus.

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

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

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x-12y=3 . The equation of its locus is ..........

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x-12y=3 . The equation of its locus is ..........

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

Find the equation of the locus of point whose distance from the xy-plane is equal to its distance from the point (-1,2,-3).

Find the locus of the point such that its distance from the x-axis is half its distance from the y-axis.