A) \[0\]
B) \[1\]
C) \[2\]
D) \[-1\]
Correct Answer: A
Solution :
Let \[(a+ib)={{i}^{i}}\] Taking log on both sides, we get \[\log (a+ib)=i\,log\,i\] \[\Rightarrow \] \[\log (a+ib)=(i\,\,\pi /2)\] \[\Rightarrow \] \[\log (a+ib)=-\frac{\pi }{2}\] \[\Rightarrow \] \[(a+ib)={{e}^{-\pi /2}}\] On comparing imaginary part of \[{{i}^{i}}\] is 0.You need to login to perform this action.
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