Find the equation to the locus of a point sum of whose distances from (ae,0) and (-ae,0) is constant equal to 2 a :e >1.

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

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

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

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 all points whose distances from (0, 4) are 2/3 of their distances from the line y = 9. Name the curve.