JEE Mains · Maths · STD 12 - 1. relation and function
The minimum number of elements that must be added to the relation \(R =\{( a , b ),( b , c )\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is:
- A \(4\)
- B \(7\)
- C \(5\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(7\)
Step-by-step Solution
Detailed explanation
For Symmetric \((a, b),(b, c) \in R\) \(\Rightarrow(b, a),(c, b) \in R\) For Transitive \((a, b),(b, c) \in R\) \(\Rightarrow(a, c) \in R\) Now \(1.\) Symmetric \(\therefore(a, c) \in R \Rightarrow(c, a) \in R\) \(2.\) Transitive \(\therefore(a, b),(b, a) \in R\)…
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