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The real function \(f\left(x\right)=\frac{{\csc }^{-1}x}{\sqrt{x-[x]}}\), where \([x]\) denotes the greatest integer les…

Q1

The real function \(f\left(x\right)=\frac{{\csc }^{-1}x}{\sqrt{x-[x]}}\), where \([x]\) denotes the greatest integer less than or equal to \(x\), is defined for all \(x\) belonging to:

[JEE Main 2021, 18 Mar (Shift 1)]

a

All integers except \(0,-1,1\)

b

All non-integers except the interval \([-1,1]\)

c

All reals except the interval \([-1,1]\)

d

All reals except integers

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