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Classify R={(1,1),(2,2),(1,2),(2,3)} on {1,2,3} | JEE

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Question
The relation R={(1,1),(2,2),(1,2),(2,3)}R = \{(1, 1), (2, 2), (1, 2), (2, 3)\} on the set A={1,2,3}A = \{1, 2, 3\} is:
AReflexive but not symmetric
BReflexive but not transitive
CSymmetric and transitive
DNeither symmetric nor transitivecorrect
Solution
(3,3)∉R⇒R(3, 3) \notin R \Rightarrow R is not reflexive. (1,2)∈R(1, 2) \in R but (2,1)∉R⇒R(2, 1) \notin R \Rightarrow R is not symmetric. (1,2),(2,3)∈R(1, 2), (2, 3) \in R but (1,3)∉R⇒R(1, 3) \notin R \Rightarrow R is not transitive. ∴R\therefore R is neither symmetric nor transitive. Correct answer: (4)
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