Let f : R R be a function defined by f(x) = (x - 3)^ n_ 1 (x - 5)^ n_ 2 , n_ 1 , n_ 2 N. Then, which of the following is NOT true ?

JEE Main 2022 Mathematics question

Let f : be a function defined by , , N. Then, which of the following is NOT true ?

Answer: (3)

In (3, 5), and f vanishes at both ends. If is even, , so f is positive in (3, 5) and has a local maximum inside. If

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Question ID VK-035231