Q.

If the vertex of hyperbola bisects the distance between its centre and the corresponding focus, then ratio of square of its conjugate axis to the square of its transverse axis is

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answer is 3.

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Detailed Solution

Given that A=C+F2a=ae2e=2Now (2b)2:(2a)2=e21:1=3:1=3

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If the vertex of hyperbola bisects the distance between its centre and the corresponding focus, then ratio of square of its conjugate axis to the square of its transverse axis is