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) and (-4,0) is always equal to 2 represents a hyperbola.

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.

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

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.

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.

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

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

A point moves on a plane in such a manner that the difference of its distances from the points (4,0) and (-4,0) is always constant and equal to 4sqrt(2) show that the locus of the moving point is a rectangular hyperbola whose equation you are to determine.