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A tangent drawn to hyperbola (x^(2))/(a^...

A tangent drawn to hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2)) =1`at `P((pi)/(6))` forms a triangle of area `3a^(2)` square units, with coordinate axes, then the squae of its eccentricity is equal to

A

`sqrt(17)`

B

`(sqrt17)/(4)`

C

`(sqrt17)/(2)`

D

`8/(sqrt17)`

Text Solution

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The correct Answer is:
B
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