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If z=((sqrt3)/(2)+(1)/(2)i)^5+((sqrt3)/(...

If `z=((sqrt3)/(2)+(1)/(2)i)^5+((sqrt3)/(2)-(i)/(2))^5`, then (a) `im(z)=0` (b) `Re(z)gt0`,`Im(z)gt0` (c) `Re(z)gt0`,`Im(z)lt0` (d) `Re(z)=3`

A

`I(z) = 0 `

B

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

C

`R (z) lt 0 " and " I(2) gt 0 `

D

`R(z) = - (3)`

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The correct Answer is:
A
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