Mathematics · 2026
JEE Main · 21 January 2026, Shift 1 · Q2
If the domain of the function f(x)= cos^-1((2 x-5)/(11-3 x))+ sin^-1(2 x^2-3 x+1) is the interval [α, β], then α+2 β is equal to:
If the domain of the function $\displaystyle f(x)=\cos ^{-1}\left(\frac{2 x-5}{11-3 x}\right)+\sin ^{-1}\left(2 x^2-3 x+1\right)$ is the interval $\displaystyle [\alpha, \beta]$, then $\displaystyle \alpha+2 \beta$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 3$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.