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J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    The coefficient of \[{{x}^{r}}\] in the expansion of \[{{(1-x)}^{-2}}\]is

    A)  \[r\]           

    B)  \[r+1\]

    C)  \[r+3\]        

    D)  \[r-1\]

    Correct Answer: B

    Solution :

    Since, \[{{(1-x)}^{-2}}=1+2x+3{{x}^{2}}+....+(r+1){{x}^{r}}\] \[\therefore \]  Coefficient of \[{{x}^{r}}\] in \[{{(1-x)}^{-2}}\] is \[(r+1)\].


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