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

  • question_answer
    Modulus of  \[\left( \frac{3+2i}{3-2i} \right)\] is [RPET 1996]

    A) 1

    B) 1/2

    C) 2

    D) \[\sqrt{2}\]

    Correct Answer: A

    Solution :

    \[\left( \frac{3+2i}{3-2i} \right)=\left( \frac{3+2i}{3-2i} \right)\left( \frac{3+2i}{3+2i} \right)\]\[=\frac{9-4+12i}{13}=\frac{5}{13}+i\left( \frac{12}{13} \right)\] Modulus =\[\sqrt{{{\left( \frac{5}{13} \right)}^{2}}+{{\left( \frac{12}{13} \right)}^{2}}=1}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner