JEE Mains · Maths · STD 12 - 1. relation and function
Let \(A =\{1,2,3,4,5,6,7\}\). Then the relation \(R =\) \(\{( x , y ) \in A \times A : x + y =7\}\) is
- A transitive but neither symmetric nor reflexive
- B reflexive but neither symmetric nor transitive
- C an equivalence relation
- D symmetric but neither reflexive nor transitive
Answer & Solution
Correct Answer
(D) symmetric but neither reflexive nor transitive
Step-by-step Solution
Detailed explanation
\(R =\{(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)\}\)
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