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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

`1ltelt(2)/(sqrt(3))`

B

`e=(2)/(sqrt(3))`

C

`e=sqrt(3)/(2)`

D

`egt(2)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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