Verified Solution • 2025–26 Session moderate

QJEEM25Ma7248: JEE Main 2025 Mathematics - Class 11 JEEM25Ma7248 Solution: Let be a relation defined on the set . Then the minimum number…

Let R={(1,2),(2,3),(3,3)}\mathrm{R}=\{(1,2),(2,3),(3,3)\} be a relation defined on the set {1,2,3,4}\{1,2,3,4\} . Then the minimum number of elements, needed to be added in R so that R becomes an equivalence relation, is:

Multiple Choice Options

  • A 9
  • B 8
  • C 7
  • D 10

Step-by-Step Verified 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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