Find the locus of the point P, sum of whose distances from the points `F_1(-2,1) and F_2(-5,5)` is constant equal to 5.

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 is equidistant from the points (-1, 2, 3) and (3, 2, 1).

Find the locus of a point whose sum of the distances from the origin and the line x = 2 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 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 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 distance of the point (1,2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the point on x-axis which is equidistant from the point (1,3,2) and (5,5,2).