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Let omega be a complex number such that ...

Let `omega` be a complex number such that `2omega+1=z` where `z=sqrt(-3)`. If `|{:(1,1,1),(1,-omega^(2)-1,omega^(2)),(1,omega^(2),omega^(7))|=3k`, then k is equal to

A

`-z`

B

`z`

C

`-1`

D

`1`

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The correct Answer is:
A
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