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Question:

The domain of the function $f(x)=\sin ^{-1}\left(\frac{|x|+5}{x^{2}+1}\right)$ is $(-\infty,-a] \cup[a, \infty]$. Then $a$ is equal to :

  1. $\frac{\sqrt{17}}{2}$

  2. $\frac{\sqrt{17}-1}{2}$

  3. $\frac{1+\sqrt{17}}{2}$

  4. $\frac{\sqrt{17}}{2}+1$


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Sep. 02, 2020 (I)

Solution:

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