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Question 1
If PQ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ such that OPQ is an equilateral triangle, where O is the centre of the hyperbola, then which of the following is true?
A.
$b^{2}>\frac{-a^{2}}{\sqrt{3}}$
B.
$b^{2}>\frac{a^{2}}{3}$
C.
$b^{2}<\frac{a^{2}}{3}$
D.
$b^{2}<\frac{-a^{2}}{3}$
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