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If P Q is a double ordinate of the hyper...

If `P Q` is a double ordinate of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` such that `O P Q` is an equilateral triangle, `O` being the center of the hyperbola, then find the range of the eccentricity `e` of the hyperbola.

A

`1 lt e lt 2/sqrt3`

B

`e gt 2/sqrt3`

C

`e gt sqrt3`

D

`e gt 2`

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The correct Answer is:
B, C, D
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