Angle between asymptotes of hyperbola xy=8 is

Solution :

Since given hyperbola xy = 8 is rectangular hyperbola.

And eccentricity of rectangular hyperbola is \(\sqrt{2}\)

Angle between asymptotes of hyperbola is \(2sec^{-1}(e)\)

\(\implies\) \(\theta\) = \(2sec^{-1}(\sqrt{2})\)

\(\implies\) \(\theta\) = \(2sec^{-1}(sec 45)\)

\(\implies\) \(\theta\) = 2(45) = 90


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