JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Critical Thinking

  • question_answer
    The sum of the coefficients in the expansion of \[{{(1+x-3{{x}^{2}})}^{2163}}\] will be [IIT 1982]

    A)  0

    B) 1

    C) \[-1\]

    D) \[{{2}^{2163}}\]

    Correct Answer: C

    Solution :

    Putting x=1 in (1+x- 3x2)2163. we get sum of the coefficients as \[{{(1+1-3)}^{2163}}={{(-1)}^{2163}}=-1\].


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