2. Solved Papers
  3. JEE Main & Advanced

JEE Main & Advanced AIEEE Solved Paper-2005

  • question_answer
    A real valued function\[f(x)\]satisfies the functional equation \[f(x-y)=f(x)\text{ }f(y)-f(a-x)\text{ }f(a+y)\] where, a is a given constant and\[f(0)=1\]\[f(2\text{ }a-x)\]is equal to     AIEEE  Solved  Paper-2005

    A) \[f(-\text{ }x)\]

    B) \[f(a)+f(a-x)\]

    C) \[f(x)\]

    D) \[-f(x)\]

    Correct Answer: D

    Solution :

    Given, Let                                                                                                   


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