question_answer

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

A)  \[{{\tan }^{-1}}\frac{(b+a)}{\sqrt{ab}}\]                     

B)  \[{{\tan }^{-1}}\left( \frac{a-b}{ab} \right)\]

C)  \[{{\tan }^{-1}}\frac{(b-a)}{\sqrt{ab}}\]                      

D)  All of these

E)  None of these