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STD 11- 2. Relation and Function — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11- 2. Relation and Function1 Mark
MCQ
Domain of the function $\frac{{\sqrt {1 + x} - \sqrt {1 - x} }}{x}$ is
  • A
    $(-1, 1)$
  • B
    $(-1, 1)-{0}$
  • C
    $[-1, 1]$
  • ✓
    $[-1, 1]-{0}$
✓

Answer

Correct option: D.
$[-1, 1]-{0}$
d
(d) $1 + x \ge 0\,\, \Rightarrow \,\,x \ge - 1$;

$1 - x \ge 0\,\, \Rightarrow \,\,x \le 1,\,\,x \ne 0$

Hence domain is $[ - 1,\,1] - \{ 0\} $.

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