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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If x1x_1 and x2x_2 are two positive values of xx for which 2cos⁡x,∣cos⁡x∣2 \cos x,|\cos x| and 3sin⁡2x−23 \sin ^2 x-2 are in GP. The minimum value of ∣x1−x2∣\left|x_1-x_2\right| is
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Correct option: C
2cos⁡−1(23)2 \cos ^{-1}\left(\frac{2}{3}\right)
Option C (2cos⁡−1(23)2 \cos ^{-1}\left(\frac{2}{3}\right)) is correct because it represents the minimum difference between two positive values of x that satisfy the given geometric progression condition.

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