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Let \([x]\) denote the greatest integer less than or equal to \(x\). Then the domain of \(f(x)=\sec ^{-1}(2[x]+1)\) is :…

Q1

Let \([x]\) denote the greatest integer less than or equal to \(x\). Then the domain of \(f(x)=\sec ^{-1}(2[x]+1)\) is :

[JEE Main 2025, 28 Jan (Shift 2)]

a

\((-\infty ,\infty )\)

b

\((-\infty, \infty)-\{0\}\)

c

\((-\infty,-1] \cup[0, \infty)\)

d

\((-\infty,-1] \cup[1, \infty)\)

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