JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Expansion of binomial theorem

  • question_answer
    The number of non-zero terms in the expansion of \[{{(1+3\sqrt{2}x)}^{9}}+{{(1-3\sqrt{2}x)}^{9}}\] is [EAMCET 1991]

    A) 9

    B) 0

    C) 5

    D) 10

    Correct Answer: C

    Solution :

    Given expression \[=2\,[1+{{\,}^{9}}{{C}_{2}}{{(3\sqrt{2}x)}^{2}}+{{\,}^{9}}{{C}_{4}}{{(3\sqrt{2}x)}^{4}}\]\[+{{\,}^{9}}{{C}_{6}}{{(3\sqrt{2}x)}^{6}}+{{\,}^{9}}{{C}_{8}}{{(3\sqrt{2}x)}^{8}}]\] \  The number of non-zero terms is 5.


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