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# If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1is 45^{\circ} then value of eccentricity e is : \begin{array}{1 1}(A)\;\sqrt {4 \pm 2 \sqrt {2}} \\(B)\;\sqrt {4 + 2 \sqrt {2}} \\(C)\;\sqrt {4 - 2 \sqrt {2}} \\(D)\;none\;of\;these \end{array} Can you answer this question? ## 1 Answer 0 votes 2 \tan^{-1} \large\frac{b}{a}$$=45^{\circ}$
=> $\large\frac{b}{a}$$=\tan 22 \large\frac{1}{2}$$ ^{\circ}$