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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
The domain of the function $f(x)=\sqrt{\log \frac{1}{|\sin x|}}$ is
  • A
    $R-\{2 n \pi, n \in I\}$
  • ✓
    $R -\{ n \pi, n \in I )$
  • C
    $R -(-\pi, \pi)$
  • D
    $(-\infty, \infty)$
✓

Answer

Correct option: B.
$R -\{ n \pi, n \in I )$
(B)
$f (x)=\sqrt{\log \frac{1}{|\sin x|}}$
$\Rightarrow \sin x \neq 0 \Rightarrow x \neq n \pi+(-1)^{ n } 0 \Rightarrow x \neq n \pi$
Domain of $f (x)= R -\{ n \pi, n \in I \}$.

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