VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    If x + i \[y=\frac{3}{2+\cos \theta +i\sin \theta },\] then \[{{x}^{2}}+{{y}^{2}}\]is equal to

    A) 3x ? 4                   

    B) 4x ? 3

    C) 4x + 3                   

    D) None of these  

    Correct Answer: B

    Solution :

    \[\text{i  }\!\!\alpha\!\!\text{  l}\] \[l\alpha \frac{1}{{{d}^{2}}}\] \[i\alpha \frac{1}{{{d}^{2}}}\] \[q={{q}_{0}}\left( 1-{{e}^{\frac{-t}{CR}}} \right)\] On equating real and imaginary parts, we get                      \[V={{V}_{0}}\left( 1-{{e}^{-\frac{t}{CR}}} \right)\] and              \[i=\frac{E}{R+r}\] \[0.5=\frac{E}{11+r}\]        \[E=5.5+0.5r\]                                     \[0.9=\frac{E}{5+r}\]              \[E=4.5+0.9r\]                = 4x - 3


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