Question

A double ordinate $P Q$ of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ is such that $\Delta O P Q$ is equilateral, $O$ being the centre of the hyperbola. Then the eccentricity e satisfies the relation
(A) $1<e<\frac{2}{\sqrt{3}}$
(B) $e=\frac{2}{\sqrt{3}}$
(C) $e=\frac{\sqrt{3}}{2}$
(D) $e>\frac{2}{\sqrt{3}}$

Ans(D)

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