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AB is double ordinate of the hyperbola `x^2/a^2-y^2/b^2=1` such that `DeltaAOB`(where 'O' is the origin) is an equilateral triangle, then the eccentricity e of hyperbola satisfies:

A

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

B

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

C

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

D

`1 lt e lt (2)/(sqrt(3))`

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The correct Answer is:
A
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