Mathematics · 2025
JEE Main · 4 April 2025, Shift 2 · Q1
Let the domains of the functions f(x)= log_4 log_3 log_7(8- log_2(x^2+4 x+5)) and g (x)= sin^-1((7 x+10)/(x-2)) be (α, β) and [γ, δ], respectively.…
Let the domains of the functions $\displaystyle f(x)=\log _4 \log _3 \log _7\left(8-\log _2\left(x^2+4 x+5\right)\right)$ and $\displaystyle \mathrm{g}(x)=\sin ^{-1}\left(\frac{7 x+10}{x-2}\right)$ be $\displaystyle (\alpha, \beta)$ and $\displaystyle [\gamma, \delta]$, respectively. Then $\displaystyle \alpha^2+\beta^2+\gamma^2+\delta^2$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 15$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.