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JEE MAIN 2021
25-02-2021 S2
Question
A function $f$ is defined on $[-3,3]$ as $$ f(x)=\left\{\begin{array}{cc} \min \left\{|x|, 2-x^2\right\}, & -2 \leq x \leq 2 \\ {[|x|]} & , 2<|x| \leq 3 \end{array}\right. $$ where $[\mathrm{x}]$ denotes the greatest integer $\leq \mathrm{x}$. The number of points, where $f$ is not differentiable in $(-3,3)$ is $\_\_\_\_$ .
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Question Tags
JEE Main
Mathematics
Medium
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