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JEE Main202523 Jan 2025Morning ShiftMathematicsSets and RelationsActual

Let 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:

Options

A10
B7
C8
D9

Correct answer

B. 7

Step-by-step solution

A= 1,2,3,4 For relation to be reflexive 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) Minimum number of elements =7

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