JEE Mains · Maths · STD 12 - 1. relation and function
The minimum number of elements that must be added to the relation \(R =\{( a , b ),( b , c )\), (b, d) \(\}\) on the set \(\{a, b, c, d\}\) so that it is an equivalence relation, is \(.........\)
- A \(11\)
- B \(12\)
- C \(19\)
- D \(13\)
Answer & Solution
Correct Answer
(D) \(13\)
Step-by-step Solution
Detailed explanation
Given \(R=\{(a, b),(b, c),(b, d)\}\) In order to make it equivalence relation as per given set, \(R\) must be \(\{(a, a),(b, b),(c, c),(d, d),(a, b),(b, a),(b, c),(c, b)\), \((b, d),(d, b),(a, c),(a, d),(c, d),(d, c),(c, a),(d, a)\}\) There already given so \(13\) more to be…
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