UPSC NDA Math Model Paper 9

Given: R = {(1, 2), (2, 3), (1, 3)}
Reflexive:
As we can see that, (1, 1), (2, 2) does not belong to R.
Hence R is not reflexive.
Symmetric:
As we can see that, (1, 2) ∈ R but (2, 1) does not belong to R. Hence relation R is not symmetric.
Transitive:
As we can see that (1, 2), (2, 3)∈ R and (1, 3) also belong to R. Hence relation R is transitive.
Hence, option 2 is the correct answer.