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What is rectangular hyperbola

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What is rectangular hyperbola

Posted by Saurav Kumar 4 years, 9 months ago

CBSE > Class 11 > अर्थशास्त्र

1 answers

Yogita Ingle 4 years, 9 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^–1b/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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CBSE > Class 11 > अर्थशास्त्र