What is rectangular hyperbola
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Yogita Ingle 5 years, 7 months ago
The hyperbola whose asymptotes are at right angles to each other is called a rectangular hyperbola. The angle between asymptotes of the hyperbola x2/a2 – y2/b2 = 1, is 2 tan–1 (b/a).
This is a right angle if tan–1 b/a = π/4, i.e., if b/a = 1
⇒ b = a.
The equation of rectangular hyperbola referred to its transverse and conjugate axes as axes of coordinates is therefore x2 – y2 = a2.
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