JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

  • question_answer
    The middle term in the expansion of \[{{\left( x+\frac{1}{x} \right)}^{10}}\] is  [BIT Ranchi 1991; RPET 2002; Pb. CET 1991]

    A) \[^{10}{{C}_{4}}\frac{1}{x}\]

    B) \[^{10}{{C}_{5}}\]

    C) \[^{10}{{C}_{5}}x\]

    D) \[^{10}{{C}_{7}}{{x}^{4}}\]

    Correct Answer: B

    Solution :

    Middle term of\[{{\left( x+\frac{1}{x} \right)}^{10}}\]is\[{{T}_{6}}={{\,}^{10}}{{C}_{5}}\].


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