JCECE Engineering JCECE Engineering Solved Paper-2007

  • question_answer
    \[f(x)=\frac{1}{{{x}^{2}}}\],is

    A)  symmetric about \[x-\]axis

    B)  symmetric about \[y-\]axis

    C)  symmetric about \[x\] and \[y\] axes

    D)  none of the above

    Correct Answer: B

    Solution :

    Given    \[y=f(x)=\frac{1}{{{x}^{2}}}\] (i)            \[f(-x)=\frac{1}{{{(-x)}^{2}}}=\frac{1}{{{x}^{2}}}=f(x)\] \[\therefore \] Curve is symmetrical about \[y-\]axis.


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