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.

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 all points equidistant from the point (4, 2) and the x-axis.

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

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 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 points on the x-axis, whose distances from the line x/3+y/4=1 are 4 units.