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

  • question_answer
    If \[0<amp\text{ (z)}<\pi \text{,}\]then amp\[(z)\]- amp\[(-z)=\]

    A) 0

    B) \[2\,amp\text{ }(z)\]

    C) \[\pi \]

    D) \[-\pi \]

    Correct Answer: C

    Solution :

    amp(z) \[-amp(-z)={{\tan }^{-1}}\frac{y}{x}-\left( {{\tan }^{-1}}\frac{y}{x}-\pi  \right)=\pi \]


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