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Question Id : 14606 | Context : JEE Main 2025 (23 January Evening Shift)
Let the range of the function $f(x)=6+16\cos x\cdot \cos\!\left(\frac{\pi}{3}-x\right)\cdot \cos\!\left(\frac{\pi}{3}+x\right)\cdot \sin 3x\cdot \cos 6x,\ x\in\mathbb{R}$ be $[\alpha,\beta]$. Then the distance of the point $(\alpha,\beta)$ from the line $3x+4y+12=0$ is:


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