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JEE Main 23-Jan-2025 Paper - Shift 1 — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEEJEE Main 23-Jan-2025 Paper - Shift 14 Marks
MCQ
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 the R becomes an equivalence relation, is :
  • A
    10
  • B
    8
  • C
    9
  • ✓
    7
✓

Answer

Correct option: D.
7
(D)
$A =\{1,2,3,4\}$
For relation to be reflexive$
R=\{(1,2),(2,3),(3,3)\}
$
Minimum elements added will be $(1,1),(2,2),(4,4)(2,1)(3,2)(3,2)(3,1)(1,3)$
$\therefore$ Minimum number of elements $=7$

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