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If z^(2)+z+1=0, where z is a complex num...

If `z^(2)+z+1=0`, where z is a complex number, then the value of `(z+(1)/(z))^(2)+(z^(2)+(1)/(z^2))^(2)+(z^(3)+(1)/(z^3))^(2)+"……"+(z^(6)+(1)/(z^6))^(2)` is

A

`18`

B

`54`

C

`6`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
D
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