JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Properties of binomial coefficients

  • question_answer
    What is the sum of the coefficients of \[{{({{x}^{2}}-x-1)}^{99}}\] [Orissa JEE 2005]

    A) 1

    B) 0

    C) ?1

    D) None of these

    Correct Answer: C

    Solution :

    Putting \[x=1\] in \[{{({{x}^{2}}-x-1)}^{99}}\] we get the sum of the coefficient of \[{{({{x}^{2}}-x-1)}^{99}}\] = \[{{({{1}^{2}}-1-1)}^{99}}=-1\].


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