The domain of the function f (x) = ( 1 x -1 ) is :

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

The domain of the function f (x) = \(\sqrt{\left(\frac{1}{\sin x}-1\right)}\) is :
  1. \(\left\{2 \mathrm{n} \pi, 2 \mathrm{n} \pi+\frac{\pi}{2}\right\},\)\(\forall\) n I
  2. (2nπ , (2n + 1)π ) \(\forall\) n I
  3. ((2n – 1)π , 2nπ) \(\forall\) n I
  4. None of the above

Answer

(B) (2n π , (2n + 1) π ) n ∈ I

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