Let the range of the function f(x) = 6 + 16 cos x · cos(π/3 - x)… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 23 January, Shift 2Functions

Let the range of the function $f(x) = 6 + 16 \cos x \cdot \cos\left(\frac{\pi}{3} - x\right) \cdot \cos\left(\frac{\pi}{3} + x\right) \cdot \sin 3x \cdot \cos 6x, \quad x \in R$ be $[\alpha, \beta]$ . Then the distance of the point $(\alpha, \beta)$ from the line $3x + 4y + 12 = 0$ is:

A
$11$
B
$8$
C
$10$
D
$9$

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