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(a) Prove that any line parallel to eith...

(a) Prove that any line parallel to either of the asymptotes of a hyperbola shall meet it in one point at infinity.
(b) Prove that the asymptotes of a hyperbola are the diagonals of the rectangle formed by the lines drawn parallel to the axes at the vertices of the hyperbola [i.e., at `(pma, 0) and (0, pmb)`].

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