Let A = {1, 2, 3, 4} and R be a relation in A | vedclass

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(A) relation $R$ on set $A$ is reflexive if $(a, a) \in R$ for all $a \in A$. Since $(1, 1), (2, 2), (3, 3), (4, 4) \in R$,the relation is reflexive.$

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Reflexive

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(A) relation $R$ on set $A$ is reflexive if $(a, a) \in R$ for all $a \in A$. Since $(1, 1), (2, 2), (3, 3), (4, 4) \in R$,the relation is reflexive.$A$ relation $R$ is symmetric if $(a, b) \in R \implies (b, a) \in R$. Here,$(1, 2) \in R$ and $(2, 1) \in R$,and $(3, 1) \in R$ and $(1, 3) \in R$. Thus,$R$ is symmetric.$A$ relation $R$ is transitive if $(a, b) \in R$ and $(b, c) \in R \implies (a, c) \in R$. Here,$(3, 1) \in R$ and $(1, 2) \in R$,but $(3, 2) 
otin R$. Therefore,$R$ is not transitive.Since $R$ is reflexive and symmetric but not transitive,it is not an equivalence relation. Thus,the correct option is $A$ (Reflexive).

Let $A = \{1, 2, 3, 4\}$ and $R$ be a relation in $A$ defined by $R = \{(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)\}$. Then $R$ is

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