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PQ is double ordinate of the hyperbola x...

PQ is double ordinate of the hyperbola `x^2//a^2 - y^2//b^2 =1` such that OPQ is an equilateral triangle , O being the centre of hyperbola . The eccentricity of the hyperbola satisfies

A

`1 lt e lt 2//sqrt3`

B

`e= 2//sqrt3`

C

`e = sqrt(3)//2`

D

`e>2//sqrt3`

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The correct Answer is:
D
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