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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 coefficient of \[{{x}^{3}}\] in the expansion of \[{{\left( x-\frac{1}{x} \right)}^{7}}\] is    [MP PET 1997; Pb. CET 2001]

    A) 14

    B) 21

    C) 28

    D) 35

    Correct Answer: B

    Solution :

    \[7-2r=3\Rightarrow r=2\] \[\therefore \] The coefficient is\[^{7}{{C}_{2}}=21\].


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