Q. If $P Q$ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ such that $O P Q$ is an equilateral triangle, $O$ bing the centre of the hyperbola, then the eccentricity $e$ of the hyperbola satisfies.
ManipalManipal 2013
Solution: