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Show that the acute angle between the asymptotes of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,(a^2> b^2),` is `2cos^(-1)(1/e),` where `e` is the eccentricity of the hyperbola.

A

`cos^(-1)(1/e)`

B

`2cos^(-1)(1/e)`

C

`sin^(-1)(1/e)`

D

None of these

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The correct Answer is:
B
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