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

  • question_answer
    \[\left| (1+i)\frac{(2+i)}{(3+i)} \right|=\] [MP PET 1995, 99]

    A) \[-\frac{1}{2}\]

    B) \[\frac{1}{2}\]

    C) 1

    D) \[-1\]

    Correct Answer: C

    Solution :

    \[\left| (1+i)\frac{(2+i)}{(3+i)} \right|=|1+i|\left| \frac{2+i}{3+i} \right|=\frac{\sqrt{2}\times \sqrt{5}}{\sqrt{10}}=1\]


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