Mathematics · 2026
JEE Main · 22 January 2026, Shift 1 · Q2
If the domain of the function f(x)= sin^-1((5-x)/(3+2 x))+1/(log_e(10-x)) is (-∞, α] ∪[β, γ)-{δ}, then 6(α+β+γ+δ) is equal to
If the domain of the function $\displaystyle f(x)=\sin ^{-1}\left(\frac{5-x}{3+2 x}\right)+\frac{1}{\log _e(10-x)}$ is $\displaystyle (-\infty, \alpha] \cup[\beta, \gamma)-\{\delta\}$, then $\displaystyle 6(\alpha+\beta+\gamma+\delta)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 70$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.