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GUJCET · Maths · Relations and Functions
Relation defined on set \(\{a, b, c\}\), relation \(R =\{(a, a),(b, b),(c, c),(a, c)\}\) is ____________ .
- A reflexive and symmetric but not transitive.
- B reflexive and transitive but not symmetric.
- C symmetric and transitive but not reflexive.
- D Equivalence relation
Answer & Solution
Correct Answer
(B) reflexive and transitive but not symmetric.
Step-by-step Solution
Detailed explanation
\((a,a), (b,b), (c,c) \in R\). R is reflexive. \((a,c) \in R\), but \((c,a) \notin R\). R is not symmetric.
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