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Let $A = \{1, 2, 3, 4\}$ and R be a relation in A given 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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Reflexive

Symmetric

Transitive

An equivalence

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detailed solution

Correct option is A

1, 22, 23, 34, 4∈R; ∴R is reflexive.∵1, 2 3, 1∈R and also 2, 11, 3∈R.Hence, R is symmetric. But clearly R is not transitive.

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