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

  • question_answer
    The two numbers such that each one is square of the other, are [MP PET 1987]

    A) \[\omega ,\,{{\omega }^{3}}\]

    B) \[-i,\,\,i\]

    C) \[-1,\,1\]

    D) \[\omega ,\,\,{{\omega }^{2}}\]

    Correct Answer: D

    Solution :

    Since \[{{(\omega )}^{2}}={{\omega }^{2}}\]and \[{{({{\omega }^{2}})}^{2}}={{\omega }^{4}}=\omega {{\omega }^{3}}=\omega \]


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