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

  • question_answer
    Let \[z\]be a purely imaginary number such that \[\operatorname{Im}\,(z)>0\]. Then \[arg(z)\] is equal to

    A) \[\pi \]

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

    C) 0

    D) \[-\frac{\pi }{2}\]

    Correct Answer: B

    Solution :

    Let\[z=0+ib\], where\[b>0\]. Then \[z\]lies on +ve y-axis and so\[arg(z)=\frac{\pi }{2}\].


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