If \[z={{\left( \frac{\sqrt{3}}{2}+\frac{i}{2} \right)}^{5}}+{{\left( \frac{\sqrt{3}}{2}-\frac{i}{2} \right)}^{5}}\], then [MP PET 1997]

\[\operatorname{Re}(z)>0,\operatorname{Im}(z)>0\]

\[\operatorname{Re}(z)>0,\operatorname{Im}(z)

If \[z={{\left( \frac{\sqrt{3}}{2}+\frac{i}{2} \right)}^{5}}+{{\left

1.	If \[z={{\left( \frac{\sqrt{3}}{2}+\frac{i}{2} \right)}^{5}}+{{\left( \frac{\sqrt{3}}{2}-\frac{i}{2} \right)}^{5}}\], then [MP PET 1997]
A.	\[\operatorname{Re}(z)=0\]
B.	\[\operatorname{Im}(z)=0\]
C.	\[\operatorname{Re}(z)>0,\operatorname{Im}(z)>0\]
D.	\[\operatorname{Re}(z)>0,\operatorname{Im}(z)<0\]
Answer» C. \[\operatorname{Re}(z)>0,\operatorname{Im}(z)>0\]

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If \[z={{\left( \frac{\sqrt{3}}{2}+\frac{i}{2} \right)}^{5}}+{{\left( \frac{\sqrt{3}}{2}-\frac{i}{2} \right)}^{5}}\], then [MP PET 1997]

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