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If z^2+z+1=0 where z is a complex number...

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^6+1/z^6)^2` is

A

54

B

6

C

12

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
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