KVPY Sample Paper KVPY Stream-SX Model Paper-30

  • question_answer
    The coefficient of \[{{x}^{n}}\] in polynomial \[(x{{+}^{2n+1}}{{C}_{0}})(x{{+}^{2n+1}}{{C}_{1}}).....(x{{+}^{2n+1}}{{C}_{n}})\] is -

    A) \[2n+1\]

    B) \[{{2}^{2n+1}}-1\]

    C) \[{{2}^{2n}}\]

    D) none of these

    Correct Answer: C

    Solution :

    Co-efficient of \[{{x}^{n}}{{=}^{{{^{2}}^{n+1}}}}{{C}_{0}}{{+}^{{{^{2}}^{n+1}}}}{{C}_{1}}+....{{+}^{{{^{2}}^{n+1}}}}{{C}_{n}}={{2}^{2n}}\]


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