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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),(-omega^2,-1,omega^2),(1,omega^2,omega^7)|=3k,` then `k` is equal to : (1) `-1` (b) `1` (3) `-z` (d) `z`

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