JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Binomial Theorem

  • question_answer
    Find the 7th term from the end in the expansion of \[{{\left( x-\frac{2}{{{x}^{2}}} \right)}^{10}}\].

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

    B) \[^{10}{{C}_{4}}{{.2}^{4}}x\]

    C) \[{{2}^{4}}.{{x}^{2}}\]

    D) \[^{10}{{C}_{4}}{{.2}^{4}}\left( \frac{1}{{{x}^{2}}} \right)\]

    Correct Answer: D

    Solution :

    [d] The 7th term from the end = 5th term from beginning \[{{T}_{5}}{{=}^{10}}{{C}_{4}}{{x}^{6}}{{\left( -\frac{2}{{{x}^{2}}} \right)}^{4}}={{\,}^{10}}{{C}_{4}}{{.2}^{4}}\left( \frac{1}{{{x}^{2}}} \right)\]


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