The locus of a point which moves such that its distance from a given point is constant is

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 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

The point (p, p+1) lies on the locus of the point which moves such that its distance from the point (1, 0) is twice the distance from (0,1). The value of 1//p^(2)+1//p^(4) is equal to

Show that the locus of a point such that the ratio of its distances from two given points is constant,is a circle.Hence show that the circle cannot pass through the given points.

The locus of a point which moves such that its distance from the curve y=sin(sin^(-1)x) and point remains equal,is

Prove that the locus of a point,which moves so that its distance from a fixed line is equal to the length of the tangent drawn from it to a given circle,is a parabola.