Find the equation to the locus of a point P, the sum of whose distances from the points A(2,0,0) and B(-4,0,0) is constant equal to 10.

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 equation of the set of points P, the sum of whose distances from A (4, 0, 0) and B (- 4, 0, 0) is equal to 10.

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

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

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.

Find the distance between the point (2,3,6) and (0,0,0).