Mathematics · 2026
JEE Main · 22 January 2026, Shift 2 · Q4
Let the domain of the function f(x)= log_3 log_5(7- log_2(x^2-10 x+85))+ sin^-1(|(3 x-7)/(17-x)|) be (α, β]. Then α+β is equal to:
Let the domain of the function $\displaystyle f(x)=\log _3 \log _5\left(7-\log _2\left(x^2-10 x+85\right)\right)+\sin ^{-1}\left(\left|\frac{3 x-7}{17-x}\right|\right)$ be $\displaystyle (\alpha, \beta]$. Then $\displaystyle \alpha+\beta$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 9$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.