JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank De Moivre's theorem and Roots of unity

  • question_answer
    If \[1,\omega ,{{\omega }^{2}}\] are the cube roots of unity, then their product is [Karnataka CET 1999, 2001]

    A) 0

    B) \[\omega \]

    C) - 1

    D) 1

    Correct Answer: D

    Solution :

      \[1.\,\omega \,.\,{{\omega }^{2}}={{\omega }^{3}}=1.\]


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