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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The coefficient of \[(-\text{2},\text{4)}\] in the expansion of \[(0,-\text{2},\text{ 4)}\]will be :

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

    B)  \[^{n}{{C}_{r-1}}=36{{,}^{n}}{{C}_{r}}=84\]

    C) \[^{n}{{C}_{r-1}}=126\]                

    D) \[(2n+1)\]

    Correct Answer: B

    Solution :

                    For number of term \[(11-r)+r(-2)=-7\]                 \[11-r-2r=-7\] \[\Rightarrow \]                               \[r=6\] thus, coefficient of \[{{x}^{-7}}=\]                 \[^{11}{{C}_{6}}{{(a)}^{5}}{{\left( \frac{-1}{b} \right)}^{6}}=\frac{462{{a}^{5}}}{{{b}^{6}}}\]


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