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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2009

  • question_answer
    The total number of terms in the expansion of \[{{(x+y)}^{100}}+{{(x-y)}^{100}}\] after simplification is

    A)  \[51\]                                  

    B)  \[202\]

    C)  \[100\]                                

    D)  \[50\]

    Correct Answer: A

    Solution :

    Let \[f(x)={{(x+y)}^{100}}+{{(x-y)}^{100}}\] Hence, \[n=100,\] which is even, \[\therefore \]  Total number of terms                                 \[=\frac{n+2}{2}=\frac{100+2}{2}\]                                 \[=51\]


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