1.

The angle of intersection of ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] and circle \[{{x}^{2}}+{{y}^{2}}=ab\], is

A.            \[{{\tan }^{-1}}\left( \frac{a-b}{ab} \right)\]                              
B.            \[{{\tan }^{-1}}\left( \frac{a+b}{ab} \right)\]
C.            \[{{\tan }^{-1}}\left( \frac{a+b}{\sqrt{ab}} \right)\]                   
D.            \[{{\tan }^{-1}}\left( \frac{a-b}{\sqrt{ab}} \right)\]
Answer» E.


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