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The asymptote of the hyperbola (x^2)/(a^...

The asymptote of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` form with any tangent to the hyperbola a triangle whose area is `a^2 tanlambda` in magnitude, then its eccentricity is

A

`seclambda`

B

`coseclambda`

C

`sec^(2)lambda`

D

`cosec^(2)lambda`

Text Solution

Verified by Experts

The correct Answer is:
A
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