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Mathematics · 2024

JEE Main · 5 April 2024, Shift 2 · Q10

Let f:[-1,2] → R be given by f(x)=2 x^2+x+[x^2]-[x], where [t] denotes the greatest integer less than or equal to t. The number of points, where f is…

Let $\displaystyle f:[-1,2] \rightarrow \mathrm{R}$ be given by $\displaystyle f(x)=2 x^2+x+\left[x^2\right]-[x]$, where $\displaystyle [t]$ denotes the greatest integer less than or equal to t . The number of points, where $\displaystyle f$ is not continuous, is :
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.