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Let A be the set of all functions \(f:Z\to Z\) and R be a relation on A such that \(\mathrm{R}={(\mathrm{f},\mathrm{g}):…

Q1

Let A be the set of all functions \(f:Z\to Z\) and R be a relation on A such that \(\mathrm{R}={(\mathrm{f},\mathrm{g}):f(0)=\mathrm{g}(1)\) and \(f(1)=\mathrm{g}(0)}\). Then R is:

[JEE Main 2025, 2 Apr (Shift 1)]

a

Symmetric and transitive but not reflexive

b

Symmetric but neither reflexive nor transitive

c

Reflexive but neither symmetric nor transitive

d

Transitive but neither reflexive nor symmetric

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