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

a periodic function with period $2 \mathrm{a}$

a periodic function with indeterminate period

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

f(x+2 a)=f(x-2 a)

, then

f(x)

View answer and explanation

Correct option: A

a periodic function with period

4 \mathrm{a}

Option B (Only transitive) is correct because if x < y and y < z, then x < z, which satisfies the transitive property. It is neither reflexive nor symmetric.

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