The variable $x$ satisfying the equation $\left| {\sin \,x\,\cos \,x} \right| + \sqrt {2 + {{\tan }^2}\,x + {{\cot }^2}\,x} = \sqrt 3$ belongs to the interval
The variable $x$ satisfying the equation $\left| {\sin \,x\,\cos \,x} \right| + \sqrt {2 + {{\tan }^2}\,x + {{\cot }^2}\,x} = \sqrt 3$ belongs to the interval
- A
$\left[ {0,\frac{\pi }{3}} \right]$
- B
$\left( {\frac{\pi }{3},\frac{\pi }{2}} \right)$
- C
$\left[ {\frac{{3\pi }}{4},\pi } \right)$
- D
non-existent
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- [JEE MAIN 2013]