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Sets and Relations question

2023 · 8 Apr · Shift 2 · Q26

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JEE Main
Mathematics
Sets and Relations
2023 · 8 Apr · Shift 2 · Q26

Sets and Relations question

2023 · 8 Apr · Shift 2 · Q26

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

\mathrm{A}=\{1,2,3,4,5,6,7\}

. Then the relation

\mathrm{R}=\{(x, y) \in \mathrm{A} \times \mathrm{A}: x+y=7\}

is :

A
reflexive but neither symmetric nor transitive
B
transitive but neither symmetric nor reflexive
C
symmetric but neither reflexive nor transitive
D
an equivalence relation

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