If f(x+2a)=f(x−2a), then f(x) is

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a periodic function with period 4a

a periodic function with period 2a

a periodic function with indeterminate period

a non periodic function

answer is A.

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Detailed Solution

given equation is fx+2a=fx-2a replace x by x+2a then the given equation becomes fx+4a=fx ⇒ fx is periodic function with period =4a

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