Find the equation of locus of points twice as far from (3,2) as from (1,1).

Find the equation of the locus of the points twice as from (-a, 0) as from (a, 0).

The equation of the locus of points equidistant from (-1-1) and (4,2) is

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

Find the equation of the locus of all points, the sum of whose distances from (3, 0) and (9, 0) is 12.

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, - 1).

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3, 2, -1).

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.

Find the equation of the locus of all points such that the difference of their distances from (4, 0) and (-4, 0) is always equal to 2.

Find the vector equations to the locus of a point whose distance from the point C(alphahati+betahatj+gammahatk) is constant equal to a.

Find the equation of the set of points P such that its distances from the points A (3, 4, - 5) and B (- 2, 1, 4) are equal.