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

  • question_answer
    The argument of the complex number \[-1+i\sqrt{3}\] is [MP PET 1994]

    A) \[-{{60}^{o}}\]

    B) \[{{60}^{o}}\]

    C) \[{{120}^{o}}\]

    D) \[-{{120}^{o}}\]

    Correct Answer: C

    Solution :

    \[arg(-1+i\sqrt{3})={{\tan }^{-1}}\left( \frac{\sqrt{3}}{-1} \right)={{120}^{o}}\] because it lies in second quadrant.


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