JEE Math Practice Question
Let A be the set of all functions $f: \mathbf{Z} \rightarrow \mathbf{Z}$ 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 :
- A.Symmetric and transitive but not reflective
- B.Symmetric but neither reflective nor transitive
- C.Transitive but neither reflexive nor symmetric
- D.Reflexive but neither symmetric nor transitive
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