Mathematics · 2025
JEE Main · 23 January 2025, Shift 2 · Q11
Let the range of the function f(x)=6+16 cos x · cos ((π)/3-x) · cos ((π)/3+x) · sin 3 x · cos 6 x, x ∈ R be [α, β]. Then the distance of the point…
Let the range of the function $\displaystyle f(x)=6+16 \cos x \cdot \cos \left(\frac{\pi}{3}-x\right) \cdot \cos \left(\frac{\pi}{3}+x\right) \cdot \sin 3 x \cdot \cos 6 x, x \in \mathbf{R}$ be $\displaystyle [\alpha, \beta]$. Then the distance of the point $\displaystyle (\alpha, \beta)$ from the line $\displaystyle 3 x+4 y+12=0$ is :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 11$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.