Find the locus of a point whose distance from (3,2) is twice its distance from (1,1).

Find the equation of the set of all points whose distances from (0, 4) are 2/3 of their distances from the line y = 9. Name the curve.

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 so that its distance from (1, 2, 3) is four times its distance from YZ-plane.

Find the equation to the locus of a point whose distance from the (-1,3,4) is 12.

Find the locus of a point whose sum of the distances from the origin and the line x = 2 is 4 units.

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 locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the locus of a point which moves such that its distance from x axis is five times its distance from y axis.

Find the equation of the locus of a point which moves so that the difference of its distances from the points (3, 0) and (-3, 0) is 4 units.

To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci