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

  • question_answer
    If \[{{z}_{1}}.{{z}_{2}}........{{z}_{n}}=z,\] then \[arg\,{{z}_{1}}+arg\,{{z}_{2}}+....\]+\[arg\,{{z}_{n}}\] and \[arg\]\[z\] differ by a

    A) Multiple of \[\pi \]

    B) Multiple of\[\frac{\pi }{2}\]

    C) Greater than \[\pi \]

    D) Less than \[\pi \]

    Correct Answer: A

    Solution :

    We know that the principal value of \[\theta \] lies between \[-\pi \] and \[\pi \].


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