Find the equation to the locus of a point which is collinear with the points (a,0) and (0,b).

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

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

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

Find the locus of a point, which is 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.

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 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, the sum of whose distance from A(4,0,0) and B(-4,0,0) is equal to 10.

Find the locus of a point which is equidistant from both axis.

Find the equation of the set of points such that the sum of its distances from (0, 2) and (0, - 2) is 6.