1.

The value of \[{{\cos }^{-1}}x+{{\cos }^{-1}}\left( \frac{x}{2}+\frac{1}{2}\sqrt{3-3{{x}^{2}}} \right);\frac{1}{2}\le x\le 1\] is

A. \[-\frac{\pi }{3}\]
B. \[\frac{\pi }{3}\]
C. \[\frac{3}{\pi }\]
D. \[-\frac{3}{\pi }\]
Answer» C. \[\frac{3}{\pi }\]


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