Find the equation to the locus of the point P if the sum of the squares of its distances from (1,2) and (3,4) is 25 units.

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

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 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 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 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 the points twice as from (-a, 0) as from (a, 0).

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

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

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0a n dx+y+z=0i s36 .