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JEE Advanced 2025 Paper 2

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Question : 8

Total: 48

Let R denote the set of all real numbers. Let f:R⟶R be defined by
f(x)={

‌ if ‌x≠0

Then which of the following statements is (are) TRUE?

[JEE Adv 2025 P2]

The point x=0 is a point of local maxima of f
The point x=0 is a point of local minima of f
Number of points of local maxima of f in the interval [π,6π] is 3
Number of points of local minima of f in the interval [2π,4π] is 1

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