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

  • question_answer
    The conjugate of the complex number  \[\frac{2+5i}{4-3i}\] is [MP PET 1994]

    A) \[\frac{7-26i}{25}\]

    B) \[\frac{-7-26i}{25}\]

    C) \[\frac{-7+26i}{25}\]

    D) \[\frac{7+26i}{25}\]

    Correct Answer: B

    Solution :

    \[\frac{2+5i}{4-3i}=\frac{(2+5i)(4+3i)}{25}=\frac{-7+26i}{25}\]. Therefore conjugate of the complex number is \[\frac{-7-26i}{25}\].


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