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

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

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

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

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

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.

The equation of the set of all point the sum of whose distances from the points (2, 0) and (-2, 0) is 8

Find the locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6.

Find the equation of the set of all points the sum of whose distance from the points (3,0)a n d(9,0) is 12.