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

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

find the equation of the locus of a points such that sum of its distance from (0,3) and (0,-3) is 8.

The equation of locus of a point P . the difference of whose distances from (-5,0) and (5,0) is 8 is

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 locus of a point which moves such that the ratio of its distances from (2,0) and (1,3) is 5:4.

Find the equation of the locus of point P, the sum of whose distances from the points A(4, 0, 0) and B(0, -4, 0) is 5.

Find the equation of the locus of point P, the sum of whose distance from the points (2, 0, 0) and (-4, 0, 0) is 10.

Find the equation to the locus of a point which moves so that the sum of its distances from (3,0) and (-3,0) is less than 9.

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