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If asymptotes of hyperbola bisect the an...

If asymptotes of hyperbola bisect the angles between the transverse axis and conjugate axis of hyperbola, then what is eccentricity of hyperbola?

Text Solution

Verified by Experts

The correct Answer is:
`sqrt2`
Clearly, for the given situation, asymptotes must be perpendicular.
So, hyperbola must be rectangular.
Therefore, eccentricity of hyperbola is `sqrt2`
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