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Question

If f(x + 2a) = f(x - 2a), then f(x) is,

A
a periodic function with period 4a
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B
a periodic function with period 2a
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C
a periodic function with indeteminate period
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D
a non periodic function
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Solution

The correct option is A a periodic function with period 4a
f(x+2a)=f(x2a)
This ia the value at x=2a
f(x2a) is the value at x=2a
Distance between the point and X where values of function are equal=2a+2a=4a
f is a periodic function with period 4a.

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