Show that the set all points such that t...

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.

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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.

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Find the equation of set of points P, the sum of whose distance from A(4,0,0) and B(-4,0,0) is equal to 10