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 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 ..........

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

A point moves so that its distance from the point (2,0) is always (1)/(3) of its distances from the line x-18. If the locus of the points is a conic, then length of its latus rectum is

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

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 a point which moves such that its distance from the origin is three times its distance from x-axis.

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

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