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For an Even Function, which condition is satisfied?

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Question

For an Even Function, which condition is satisfied?

Options

  • \[f(-x)=-f(x)\]

  • \[f(-x)=f(x)\]

  • \[f(2a-x)=f(x)\]

  • \[f(2a-x)=-f(x)\]

MCQ
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Solution

An Even Function satisfies \[f(-x)=f(x)\]. With limits from \[-a\] to \[a\], \[P_7\] gives twice the integral from \[0\] to \[a\].

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