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Sets and Relations question

2025 · 2 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2025 · 2 Apr · Shift 1 · Q41

Sets and Relations question

2025 · 2 Apr · Shift 1 · Q41

JEE MainMathematicsSets and RelationsMCQ+4 / −1

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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