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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The graph of the function \[y=f(x)\] is symmetrical about the line \[x=2\], then                                 [AIEEE 2004]

    A)            \[f(x)=-f(-x)\]

    B)            \[f(2+x)=f(2-x)\]

    C)            \[f(x)=f(-x)\]

    D)            \[f(x+2)=f(x-2)\]

    Correct Answer: B

    Solution :

               \[f(x)=f(-x)\Rightarrow f(0+x)=f(0-x)\] is symmetrical about \[x=0\].                    \[\therefore \] \[f(2+x)=f(2-x)\] is symmetrical about \[x=2\].


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