Sets, Relations and Function: Let A=\1,2,3,4,5,6,7\ . Then the relation R=\(x,y)in Atimes A:x+y=7\… | JEE Main 2023

JEE Main 2023 (Online) 8th April Evening ShiftQuestion 1

Let $A=\{1,2,3,4,5,6,7\}$. Then the relation $R=\{(x,y)\in A\times A:x+y=7\}$ is

Sets, Relations and Function

reflexive but neither symmetric nor transitivesymmetric but neither reflexive nor transitive✓ Correct answertransitive but neither symmetric nor reflexivean equivalence relation

Solution

$x+y=7$: not reflexive ($(1,1)\notin R$), symmetric, not transitive ($(1,6),(6,1)\in R$, $(1,1)\notin R$). Option (B).

Sets, Relations and Function - JEE Mathematics question (JEE Main 2023 (Online) 8th April Evening Shift)

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