Question

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

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

Solution

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

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