JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Mathematical induction and Divisibility problems

  • question_answer
    If \[n\in N\], then \[{{x}^{2n-1}}+{{y}^{2n-1}}\] is divisible by

    A) \[x+y\]

    B) \[x-y\]

    C) \[{{x}^{2}}+{{y}^{2}}\]

    D) \[{{x}^{2}}+xy\]

    Correct Answer: A

    Solution :

    \[{{x}^{2n-1}}+{{y}^{2n-1}}\] is always contain equal odd power. So it is always divisible by\[x+y\].


You need to login to perform this action.
You will be redirected in 3 sec spinner