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AB is double ordinate of the hyperbola x...

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

`1ltelt2/sqrt3`

B

`e=2/sqrt3`

C

`e=sqrt3/2`

D

`egt2/sqrt3`

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The correct Answer is:
D
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