If f(a + x) = f(2a) for all x R and a is a positive constant then f(x) is

JEE Advanced Mathematics question

If for all and is a positive constant then is

Answer: (B)

Since the relation holds for **every** real , replace by :

f(x) = f(2a) for all x .

So is a **constant** function. A constant function satisfies for every , so it is periodic, but there is no least positive period —

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Question ID VK-110370