The asymptotes of x^2/a^2 - y^2/b^2 = 1 are y = +/-(b/a)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(b/a). 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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