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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    The number of total terms in the expansion of\[{{(1+3\sqrt{2}x)}^{9}}+{{(1-3\sqrt{2}x)}^{9}}\]is

    A)  9               

    B)  0

    C)  5               

    D)  10

    Correct Answer: C

    Solution :

     If\[n\]is an odd number, then total number of terms in the expansion of\[{{(x+a)}^{n}}+{{(x-a)}^{n}}\]of is\[\frac{n+1}{2}\]. \[\therefore \]In the expansion of\[{{(1+3\sqrt{2x})}^{9}}+{{(1-3\sqrt{2}x)}^{9}},\] the total number of terms\[=\frac{9+1}{2}=5\]


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