A) 3
B) 7
C) \[-1\]
D) 5
Correct Answer: B
Solution :
\[z=\omega \Rightarrow (z-{{z}^{2}}+2{{z}^{3}})(2-z+{{z}^{2}})\] |
\[=(\omega -{{\omega }^{2}}+2)(2-\omega +{{\omega }^{2}})\] |
\[={{\left| 2-\omega +{{\omega }^{2}} \right|}^{2}}={{\left| 2-i\sqrt{3} \right|}^{2}}=7\] |
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