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Suppose 0lt thetalt(pi)/(2) if the ecce...

Suppose `0lt thetalt(pi)/(2)` if the eccentricity of the hyperbola `x^(2)-y^(2) cosec^(2) theta=5` is `sqrt(7)` times the eccentricity of the ellipse `x^(2) cosec^(2) theta+y^(2)=5` then `theta` is equal to ________

A

`pi/6`

B

`(5pi)/(12)`

C

`pi/3`

D

`pi/4`

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The correct Answer is:
C
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