Let A be the set of all function f: \mathbb{Z} \rightarrow \mathbb{Z} and R be a relation on A such that R=\{(f, g\}: f(0)=g(1) and f(1)=g(0). Then R is: [2 Apr 2025 Shift 1]

Correct Answer is : Symmetric but neither reflective nor transitive

Symmetric and transitive but not reflective

Reflexive but neither symmetric nor transitive

Transitive but neither reflexive nor symmetric

Symmetric but neither reflective nor transitive

Sets and Relations Part 1

Section: Mathematics

Question : 20 of 112

Marks: +1, -0

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

[2 Apr 2025 Shift 1]

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