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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Conjugate, Modulus and Argument of complex number

  • question_answer
    The product of two complex numbers each of unit modulus is also a complex number, of

    A) Unit modulus

    B) Less than unit modulus

    C) Greater than unit modulus

    D) None of these

    Correct Answer: A

    Solution :

    If \[|{{z}_{1}}|=1\]and \[|{{z}_{2}}|=1,\] then \[|{{z}_{1}}{{z}_{2}}|=|{{z}_{1}}||{{z}_{2}}|=1.1=1\]


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