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If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/...

If `z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5` , then prove that `I m(z)=0.`

A

R(z) `gt 0` and `I(z) gt 0`

B

`R(z) lt 0` and `I(z) gt 0`

C

`R(z) = -3`

D

I(z) = 0

Text Solution

Verified by Experts

The correct Answer is:
D
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