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If the ratio of `H.M.` and `G.M.` of two quantities is `12:13,` then the ratio of the numbers is
Updated Wed, 22 May 2019 05:31 pm

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) \(\left(\frac{3 \sqrt{3}+\pi}{12}, \infty\right)\)
Updated Wed, 22 May 2019 05:29 pm