If z = ( 2 3 + i ) 5 + ( 2 3 − i ) 5 , then

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If $z=\left(\frac{\sqrt{3}+i}{2}\right)^5+\left(\frac{\sqrt{3}-i}{2}\right)^5$, then

MathematicsComplex NumberAP EAMCETAP EAMCET 2017 (24 Apr Shift 2)

Options:

A $\operatorname{Re}(z)>0, \operatorname{Im}(z) < 0$
B $\operatorname{Re}(z)>0, \operatorname{Im}(z)>0$
C $\operatorname{Re}(z)=0$
D $\operatorname{Im}(z)=0$

Solution:

2923 Upvotes Verified Answer

The correct answer is: $\operatorname{Im}(z)=0$

No solution. Refer to answer key.

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