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GUJCET · Maths · Relations and Functions
Set \(\{1,2,3\}\) relation on \(S=\{(1,2),(2,1),(2,3)\}\) then, relation \(S\) is ____________ .
- A not transitive
- B is symmetric
- C is reflexive
- D is equivalence relation
Answer & Solution
Correct Answer
(A) not transitive
Step-by-step Solution
Detailed explanation
Relation \(S=\{(1,2),(2,1),(2,3)\}\) on \(\{1,2,3\}\). For transitivity: If \((a,b) \in S\) and \((b,c) \in S \implies (a,c) \in S\).
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