Let $R= \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\}$ be a relation on the set $A = \{1, 2, 3, 4\}$. The relation R is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → not symmetric
Clearly, (1, 1), (2, 2), (3, 3) and (4, 4) are not in R. So, it is not reflexive.
We observe that $(2, 3) ∈ R$ but $(3, 2) ∉ R$, it is not symmetric.
Clearly, $(1, 3) ∈ R$ and $(3, 1) ∈ R$ but $(1, 1) ∉ R$. So, it is not transitive.
Since (2, 4) and (2, 3) are in R. So, it is not a function.
Hence, option (3) is correct.