A) \[1+\sqrt{3}\,i\]
B) \[1-\sqrt{3}\,i\]
C) 1
D) - 1\[\]
Correct Answer: D
Solution :
\[{{z}_{2}}=\,{{z}_{1}}{{e}^{2i\pi /3}}\]\[=\left( \frac{1}{2}+\frac{\sqrt{3}}{2}i \right)\,\,\left( \cos \frac{2\pi }{3}+i\sin \frac{2\pi }{3} \right)\] \[=\left( \frac{1}{2}+\frac{\sqrt{3}}{2}i \right)\] \[\left( \frac{-1}{2}+\frac{\sqrt{3}}{2}i \right)\]\[=-\frac{3}{4}-\frac{1}{4}=-1\].
You need to login to perform this action.
You will be redirected in
3 sec
