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

Q1

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 :

[JEE Main 2020, 2 Sep (Shift 1)]

a

\(\frac{\sqrt{17}}{2}\)

b

\(\frac{1+\sqrt{17}}{2}\)

c

\(\frac{\sqrt{17}-1}{2}\)

d

\(\text{ }\frac{\sqrt{17}}{2}+1\)

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