KCET · Maths · Functions
If a relation \(R\) on the set \(\{1,2,3\}\) be defined by \(R=\{(1,1)\}\), then \(R\) is
- A Reflexive and symmetric
- B Reflexive and transitive
- C Symmetric and transitive
- D Only symmetric
Answer & Solution
Correct Answer
(C) Symmetric and transitive
Step-by-step Solution
Detailed explanation
Let \(A=\{1,2,3\}\)
\(R=\{1,1\}\)
\(\{2,2\} \notin R, R\) is not reflexive but \(R\) is symmetric and transitive.
\(R=\{1,1\}\)
\(\{2,2\} \notin R, R\) is not reflexive but \(R\) is symmetric and transitive.
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