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STD 11 - Trigonometrical equations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - Trigonometrical equations1 Mark
MCQ
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
    $\left[ {\frac{{3\pi }}{4},\pi } \right)$
  • ✓
    non-existent
✓

Answer

Correct option: D.
non-existent
d
$|\sin x \cos x|+|\tan x+\cot x|=\sqrt{3}$

or $|\sin x \cos x|+\frac{1}{|\sin x \cos x|}=\sqrt{3}$

But $|\sin x \cos x|+\frac{1}{|\sin x \cos x|} \geq 2$

Hence, no solution.

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