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If a relation R is defined on the set X={1,2,3,4}X = \{1, 2, 3, 4\} as R={(1,1),(2,2),(3,4),(4,3)}R = \{(1,1), (2,2), (3,4), (4,3)\}, then R is

Solution

✅ Correct Option: 2

Reflexive needs (3,3)(3,3) and (4,4)(4,4) which are absent, so not reflexive.

Symmetric: (3,4)(3,4) and (4,3)(4,3) both present; (1,1)(1,1) and (2,2)(2,2) are self-paired. Symmetric.

Transitive: (3,4)(3,4) and (4,3)(4,3) require (3,3)(3,3), which is absent. Not transitive.

So symmetric and not reflexive.

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