A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________ans.TRANSITIVE RELATIONNON SYMMETRIC RELATIONANTI SYMMETRIC RELATIONREFLEXIVE RELATION

The given relation R={(1,2),(1,3),(3,3),(3,1)} on set A={1,2,3,4} is a Non-Symmetric Relation.

Here's why:

1. Transitive Relation: A relation is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c. In this case, we have (1,2) and (1,3) in the relation but we don't have (2,3), so it's not transitive.

2. Symmetric Relation: A relation is symmetric if the relation from a to b implies that the relation from b to a also holds. In this case, we have (1,2) in the relation but we don't have (2,1), so it's not symmetric.

3. Anti-Symmetric Relation: A relation is anti-symmetric if the relation from a to b and from b to a only holds when a = b. In this case, we have (1,3) and (3,1) in the relation but 1 ≠ 3, so it's not anti-symmetric.

4. Reflexive Relation: A relation is reflexive if every element is related to itself. In this case, we don't have (2,2) and (4,4) in the relation, so it's not reflexive.

Therefore, the given relation is a Non-Symmetric Relation.