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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The critical points of the function
f(x)=2sin⁡2(x6)+sin⁡(x3)−(x3)f\left( x \right) = 2{\sin ^2}\left( {\frac{x}{6}} \right) + \sin \left( {\frac{x}{3}} \right) - \left( {\frac{x}{3}} \right)
Whose coordinates satisfy the inequality x2−10<−19.5x{x^2} - 10 < - 19.5x is
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Correct option: B
6π6\pi
Option B (6π6\pi) is correct because it is a critical point of the function that satisfies the given inequality.

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