JEE Mains · Maths · STD 12 - 1. relation and function
Let \(\mathrm{R}=\{(1,2),(2,3),(3,3)\}\) be a relation defined on the set \(\{1,2,3,4\}\). Then the minimum number of elements, needed to be added in R so that R becomes an equivalence relation, is:
- A \(10\)
- B \(7\)
- C \(8\)
- D \(9\)
Answer & Solution
Correct Answer
(B) \(7\)
Step-by-step Solution
Detailed explanation
\(A=\{1,2,3,4\}\) For relation to be reflexive \(\mathrm{R}=\{(1,2),(2,3),(3,3)\}\) Minimum elements added will be \((1,1),(2,2),(4,4)(2,1)(3,2)(3,2)(3,1)(1,3)\) \(\therefore\) Minimum number of elements \(=7\)
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