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1. relation and function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths1. relation and function1 Mark
MCQ
Domain of the function $f(x) =$ $\frac{1}{{\sqrt {\ln \,{{\cot }^{ - 1}}x} }}$ is
  • A
    $(cot\,\,1 , \infty )$
  • B
    $R - \{cot\,\,1\}$
  • C
    $(- \infty ,0) \cup (0,cot\,\,1)$
  • ✓
    $(- \infty , cot\,\,1)$
✓

Answer

Correct option: D.
$(- \infty , cot\,\,1)$
d
ln $(cot^{-1}x) > 0$
$cot^{-1}x > 1$
$x < cot \,\,1$
$\therefore$  domain $(- \infty , cot\,\,1)$ 

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