The asymptotes of / - / = 1 are y = +/-x, obtained by setting the RHS to 0. The asymptotes pass through the centre and are diagonals of the rectangle with sides 2a and 2b. The angle between asymptotes is 2arctan. Key relations: equation of hyperbola + equation of conjugate = 2(equation of asymptotes). For a rectangular hyperbola (a = b), asymptotes are perpendicular (y = +/-x).
Part of CG-05 — Hyperbola
Asymptotes
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