Let A ={1,2,3,4,5,6,7} . Then relation R = {( x , y ) ∈ A × A : x + y =7} is

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1.Relation and Function

medium

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

Atransitive but neither symmetric nor reflexive

Breflexive but neither symmetric nor transitive

Can equivalence relation

Dsymmetric but neither reflexive nor transitive

(JEE MAIN-2023)

Solution

$R =\{(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)\}$

Standard 12

Mathematics

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