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JEE Math Practice Question

If $$1,$$ $$\omega ,{\omega ^2}$$ are the cube roots of unity, then $$\Delta = \left| {\begin{matrix} 1 & {{\omega ^n}} & {{\omega ^{2n}}} \\ {{\omega ^n}} & {{\omega ^{2n}}} & 1 \\ {{\omega ^{2n}}} & 1 & {{\omega ^n}} \\ \end{matrix} } \right|$$ is equal to

  1. A.$${\omega ^2}$$
  2. B.$$0$$
  3. C.$$1$$
  4. D.$$\omega $$

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