यदि \( \omega \neq 1, \omega^{3}=1 \) तथा \( \left|\begin{array}{ccc}x+1 & \omega & \omega^{2} \...

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यदि \( \omega \neq 1, \omega^{3}=1 \) तथा \( \left|\begin{array}{ccc}x+1 & \omega & \omega^{2} \\ \omega & x+\omega^{2} & 1 \\ \omega^{2} & 1 & x+\omega\end{array}\right|=0 \) तो \( x= \)
(A) 1
(B) \( \omega \)
(C) \( \omega^{2} \)
(D) undefined
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