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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

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

    A)  9                            

    B)                         0                            

    C)         10                                         

    D)         6

    E)         5

    Correct Answer: E

    Solution :

    \[{{[1+3{{(2x)}^{1/2}}]}^{9}}+{{[1-3{{(2x)}^{1/2}}]}^{9}}\] Let         \[3{{(2x)}^{1/2}}=y\] \[\therefore \]\[{{[1+y]}^{9}}+{{[1-y]}^{9}}\]has\[\left( \frac{n+1}{2} \right)\]terms i.e.,       \[\frac{9+1}{2}=5\]terms


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