Mathematics · 2026
JEE Main · 4 April 2026, Shift 1 · Q1
Let [·] denote the greatest integer function. If the domain of the function f(x)= cos^-1((4 x+2[x])/3) is [α, β], then 12(α+β) is equal to:
Let $\displaystyle [\cdot]$ denote the greatest integer function. If the domain of the function $\displaystyle f(x)=\cos ^{-1}\left(\frac{4 x+2[x]}{3}\right)$ is $\displaystyle [\alpha, \beta]$, then $\displaystyle 12(\alpha+\beta)$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 6$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.