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

  • question_answer
    For the complex number \[z\], one from \[z+\bar{z}\] and \[z\,\bar{z}\]  is [RPET 1987]

    A) A real number

    B) A imaginary number

    C) Both are real numbers

    D) Both are imaginary numbers

    Correct Answer: C

    Solution :

    Here \[z+\overline{z}=(x+iy)+(x-iy)=2x\](Real) and \[z\overline{z}=(x+iy)(x-iy)={{x}^{2}}+{{y}^{2}}\] (Real).


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