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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
MCQ
The domain of $\frac{1}{|x|-x}$, where $[\mathrm{x}]$ is greatest integer function is
  • A
    $\mathrm{R}$
  • B
    $\mathrm{Z}$
  • ✓
    $R-Z$
  • D
    $Q-\{0\}$
✓

Answer

Correct option: C.
$R-Z$
(C) $R-Z$
Hint:
$
f(x)=\frac{1}{[x]-x}=\frac{1}{-\{x\}}
$
For $f$ to be defined, $\{x\} \neq 0$
$\therefore \mathrm{x}$ cannot be integer.
$\therefore$ Domain $=\mathrm{R}-\mathrm{Z}$

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