If \[i=\sqrt{-1},\] then \[4+5{{\left( -\frac{1}{2}+\frac{i\sqrt{3}}{2 – McqOptions

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1.	If \[i=\sqrt{-1},\] then \[4+5{{\left( -\frac{1}{2}+\frac{i\sqrt{3}}{2} \right)}^{334}}\] \[+3{{\left( -\frac{1}{2}+\frac{i\sqrt{3}}{2} \right)}^{365}}\]is equal to [IIT 1999]
A.	\[1-i\sqrt{3}\]
B.	\[-1+i\sqrt{3}\]
C.	\[i\sqrt{3}\]
D.	\[-i\sqrt{3}\]
Answer» D. \[-i\sqrt{3}\]

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