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Q.

The complete set of the positive real values of the parameter 'a' for which the equation \(|sin 2x| - |x| - a = 0\) does not have any real solution, is

(a) \(\left(\frac{3 \sqrt{3}+\pi}{6}, \infty\right)\)

(b) \(\left(\frac{3 \sqrt{3}-\pi}{6}, \infty\right)\)

(c) \(\left(\frac{3 \sqrt{3}-\pi}{12}, \infty\right)\)

(d) \(\left(\frac{3 \sqrt{3}+\pi}{12}, \infty\right)\)