Reflexive, symmetric, transitive and equivalence relationsEasy

Equivalence Relation on Cartesian Product

Let X = R × R. Define a relation R on X as: (a₁, b₁) R (a₂, b₂) ⇔ b₁ = b₂.
Statement-I: R is an equivalence relation.
Statement-II: For some (a, b) ∈ X, the set S = {(x, y) ∈ X : (x, y) R (a, b)} represents a line parallel to y = x.
In the light of the above statements, choose the correct answer from the options given below:

SELECT ONE OPTION