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Mathematics · 2023

JEE Main · 12 April 2023, Shift 1 · Q25

Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x)=|[x]|+√(x-[x]) is discontinuous, is…

Let $\displaystyle [x]$ be the greatest integer $\displaystyle \leq x$. Then the number of points in the interval $\displaystyle (-2,1)$, where the function $\displaystyle f(x)=|[x]|+\sqrt{x-[x]}$ is discontinuous, 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.