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 in such away that the square of its distance from the point (3,-4) is numerically equal to its distance from the line 5x-12 y=13.

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.

Square of the distance of the point from x-axis is double of its distance from the origin.

A point P is such that the sum of the squares of its distances from the two axes of co-ordinates is equal to the square of its distance from the line x-y=1 . Find the equation of the locus of P.

Find the locus of a point , which moves such that its distance from the point (0,-1) is twice its distance from the line 3x+4y+1=0

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 equation of the locus of a point whose distanace from the z-axis is equal to its distance from the xy-plane.

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 .

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