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 the R becomes an equivalence relation, is : [JEE Main 2025, 23 Jan (Shift 1)]

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Correct answer: d) 7. $\text{Given},\mathrm{R}={(1,2),(2,3),(3,3)}\ \text{and set A}={1,2,3,4}\ \text{Now, for equivalence, minimum number}\ \text{ of ordered pairs need to add:}\ (1,1),(2,2),(4,4)(2,1)(3,2)(3,1)(1,3)\ \text{i.e}7\text{ordered pairs.}$

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 elemen…

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