Given relation R = {(1,1), (2,3), (2,2), (3,3), (1,2)}, we need to determine whether the relation is reflexive, symmetric, transitive, or an equivalence relation.

Reflexive Property:
A relation R on a set A is said to be reflexive if every element of A is related to itself. In other words, for every element a in A, (a,a) must be in R.

In this case, we can observe that (1,1), (2,2), and (3,3) are present in the relation R. Therefore, the relation R is reflexive as it satisfies the reflexive property.

Symmetric Property:
A relation R on a set A is said to be symmetric if for every (a,b) in R, (b,a) must also be in R.

In this case, we can see that (1,2) is present in R, but (2,1) is not present in R. Hence, the relation R is not symmetric as it fails to satisfy the symmetric property.

Transitive Property:
A relation R on a set A is said to be transitive if for every (a,b) and (b,c) in R, (a,c) must also be in R.

In this case, we can observe that (2,3) and (3,3) are present in R. However, (2,3) and (3,3) do not imply (2,3) should be in R. Therefore, the relation R is not transitive as it fails to satisfy the transitive property.

Equivalence Relation:
An equivalence relation is a relation that is reflexive, symmetric, and transitive.

From the above analysis, we can conclude that the relation R is not symmetric and not transitive. Therefore, it cannot be an equivalence relation.

Hence, the correct answer is option 'c' - Reflexive.