JEE Advanced Mathematics question

MathematicsFunctionJEE Advanced

Which of the following is an even function? Here denotes the greatest integer function and is any function.

Answer: (D)

Solution

Let . Then , so is even for every .

The other options are not even in general:

- **(a)** . At it is ; at it is . Not even. - **(b)**

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Question ID VK-109156