JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    In the argand plane, the complex number \[y=x\] is turned in the clockwise sense through 180° and stretched three times. The complex number represented by the new number is

    A) \[\therefore \]                 

    B) \[\left( \frac{-3-{{y}_{1}}}{4-{{x}_{1}}} \right)(1)=-1\]

    C) \[\Rightarrow \]                              

    D) \[{{y}_{1}}+{{x}_{1}}=1\]

    Correct Answer: D

    Solution :

                     Given, \[\frac{3}{2}M{{L}^{2}}\] \[\frac{3}{4}M{{L}^{2}}\]              \[M{{L}^{2}}\] This complex number lies in IV quadrant. When we rotate this point in 180° clockwise, then this point moves in II quadrant. So, new complex number will be \[{{R}_{1}}\] \[{{R}_{2}}\]Required complex number is \[{{Q}_{1}}\] i.e.,                        \[{{Q}_{2}}\]


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