Mathematics · 2026
JEE Main · 22 January 2026, Shift 2 · Q18
Let f(x)=[x]^2-[x+3]-3, x ∈ R, where [·] is the greatest integer funtion. Then
Let $\displaystyle f(x)=[x]^2-[x+3]-3, x \in \mathbf{R}$, where $\displaystyle [\cdot]$ is the greatest integer funtion. Then
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle f(x)<0$ only for $\displaystyle x \in[-1,3)$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.