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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 \[z\] is a purely real number such that \[\operatorname{Re}(z)<0\],  then \[arg(z)\] is equal to

    A) \[\pi \]

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

    C) 0

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

    Correct Answer: A

    Solution :

    Let\[z=a+i0\], where\[a<0\]. Then \[z\] is represented by a point on negative side of x-axis, therefore \[arg(z)=\pi \]


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