If 1, _ 1 ^ 2 are cube roots of unity, then (1+ ) (1+ ^ 2 ) (1+ ^ 4 ) (1+ ^ 6 ) is equal…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If \(1, \omega_{1} \omega^{2}\) are cube roots of unity, then \((1+\omega)\left(1+\omega^{2}\right)\left(1+\omega^{4}\right)\left(1+\omega^{6}\right)\)  is equal to
  1. \(1\)
  2. \(0\)
  3. \(\omega^{2}\)
  4. \(\omega\)

Answer

(A) 1

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