JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    If\[=\frac{{{m}_{3}}\,\,\,F}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\], then

    A) \[{{A}_{i}}=-\frac{{{h}_{fe}}}{1+{{h}_{oe}}{{R}_{L}}}\]                    

    B) \[{{h}_{fe}}=50,{{h}_{oe}}=25\mu A{{V}^{-1}}\]

    C) \[=25\times {{10}^{-6}}A{{V}^{-1}}\]                      

    D) \[{{R}_{L}}=1k\Omega ={{10}^{3}}\Omega \]

    Correct Answer: C

    Solution :

    Given, \[f(x)=\left| \begin{matrix}    0 & x-a & x-b  \\    x+a & 0 & x-c  \\    x+b & x+c & 0  \\ \end{matrix} \right|\] Put                         \[x=0\] \[\Rightarrow \]               \[f(0)=\left| \begin{matrix}    0 & -a & -b  \\    a & 0 & -c  \\    b & c & 0  \\ \end{matrix} \right|\] Expanding along \[{{R}_{1}}\], we get \[f(0)=a(0+bc)=b(ac)=abc-abc=0\]


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