Question: Show that the point P = (cosh 2t, sinh 2t, 0) of the hyperboloid is mapped by 7 to the point (tanh t, 0) of

Show that the point P = (cosh 2t, sinh 2t, 0) of the hyperboloid is mapped by 7 to the point (tanh t, 0) of B2. Let C be the circle centre P and of radius R in other words the set of points X in the hyperboloid such that n(X, P) = cosh R. Find the image C' = T (C) in B2

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