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

  • question_answer
    If the sum of the coefficients in the expansion of \[{{(\alpha {{x}^{2}}-2x+1)}^{35}}\] is equal to the sum of the coefficients in the expansion of \[{{(x-\alpha y)}^{35}}\], then \[\alpha \]=

    A) 0

    B) 1

    C) May be any real number

    D) No such value exist

    Correct Answer: B

    Solution :

    Accordingly,  \[{{(\alpha -2+1)}^{35}}={{(1-\alpha )}^{35}}\] Þ \[{{(\alpha -1)}^{35}}={{(1-\alpha )}^{35}}\Rightarrow \alpha =1\]


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