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Let $x = \cos \frac{π}{3} + i \sin \frac{π}{3}$ and $Δ = |\begin{array}{ccc} 1 & x & x^{2} \\ x^{3} & 1 & x \\ 1 & x^{2} & 1 \end{array}|$ then numerical value of $∆$ is

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Correct option is C

Use C3→C3−xC2 and C2→C2−xC1Δ=100x21−x301x2−x1−x3=1−x32=[1−cos⁡π−isin⁡π]2=8 [De Moivre's Theorem]

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Let x=cos⁡π3+isin⁡π3 and Δ=1xx2x31x1x21 then numerical value of∆ is

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Let $x = \cos \frac{π}{3} + i \sin \frac{π}{3}$ and $Δ = |\begin{array}{ccc} 1 & x & x^{2} \\ x^{3} & 1 & x \\ 1 & x^{2} & 1 \end{array}|$ then numerical value of $∆$ is