question_answer

If \[|z-25\,i|\,\,\le 15,\]  the \[|\max .\,\,amp(z)-\,\min .\,\,amp(z)|\]

A)  \[{{\cos }^{-1}}\left( \frac{3}{5} \right)\]                      

B)  \[\pi -2{{\cos }^{-1}}\left( \frac{3}{5} \right)\]

C)  \[\frac{\pi }{2}+{{\cos }^{-1}}\left( \frac{3}{5} \right)\]            

D)  \[{{\sin }^{-1}}\left( \frac{3}{5} \right)-{{\cos }^{-1}}\left( \frac{3}{5} \right)\]

E)  None of these