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If `omega` is a complex cube root of unity then the value of the determinant `|[1,omega,omega+1] , [omega+1,1,omega] , [omega, omega+1, 1]|` is

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If `omega` is a complex cube root of unity then the value of the determinant `|[1,omega,omega+1] , [omega+1,1,omega] , [omega, omega+1, 1]|` is
A. 2
B. 4
C. 0
D. `-3`
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Correct Answer - B
`1+omega +omega^(2) =0 rArr (1+omega) = -omega^(2) "Put"(1+omega) = -omega^(2)` and expand.
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