Q102 / 225 · JEE Main 2004 · Mathematics

The domain of the function $f(x)=\frac{\sin ^{-1}(x-3)}{\sqrt{9-x^2}}$ is

  • A
    $[2,3]$
  • Correct answer
    B
    $[2,3)$
  • C
    $[1,2]$
  • D
    $[1,2)$

Solution

$9-x^2>0$ and $-1 \leq x-3 \leq 1 \Rightarrow x \in[2,3)$

Hence, the correct answer is option: 'B'.

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