Let R be the relation in the set $\{1, 2, 3, 4\}$ given by R $= \{(1, 2), (2, 2),(1, 1), (4, 4), (1, 3), (3, 3), (3, 2)\}$. Choose the correct answer.
(A) R is reflexive and symmetric but not transitive.
(B) R is reflexive and transitive but not symmetric.
(C) R is symmetric and transitive but not reflexive.
(D) R is an equivalence relation.
Option B is correct
R is reflexive for all 1, 2, 3, 4 $\in \{1, 2, 3, 4\}$
R is not symmetric for all $1,\;2 \in \;\{ 1,\;2,\;3,\;4\} \}$
R is not symmetric and $(3,\;2) \in R$
$\Rightarrow$ $(1,\;2) \in R$ for all 1, 2, 3$\in \{1, 2, 3, 4\}$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.