A) 29
B) \[-29\]
C) 0
D) None of these
Correct Answer: C
Solution :
\[{{(1+i\sqrt{3})}^{9}}={{2}^{9}}{{\left[ \frac{1}{2}+\frac{i\sqrt{3}}{2} \right]}^{9}}\] \[={{2}^{9}}{{\left[ \cos \frac{\pi }{3}+i\sin \frac{\pi }{3} \right]}^{9}}\] \[={{2}^{9}}[\cos 3\pi +i\sin 3\pi ]\] [by De-moiver theorem] \[={{2}^{9}}[-1+i0]\] \[=-{{2}^{9}}=a+ib\] \[\Rightarrow \] \[b=0\]
You need to login to perform this action.
You will be redirected in
3 sec
