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Mathematics · 2023

JEE Main · 6 April 2023, Shift 1 · Q25

Let a ∈ Z and [ t ] be the greatest integer ≤ t. Then the number of points, where the function f(x)=[a+13 sin x], x ∈(0, π) is not differentiable, is…

Let $\displaystyle a \in \mathbb{Z}$ and $\displaystyle [\mathrm{t}]$ be the greatest integer $\displaystyle \leq \mathrm{t}$. Then the number of points, where the function $\displaystyle f(x)=[a+13 \sin x], x \in(0, \pi)$ is not differentiable, is $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.