Let R₁ and R₂ be two relations defined as follows:
R₁={(a, b) ∈ R₂: a²+b² ∈ Q} and
R₂={(a, b) ∈ R² : a²+b² ∉ Q}. Then
A. Neither R₁ nor R₂ is a transitive relation
B. R₁ and R₂ both are transitive relations
C. R₁ is transitive but R₂ is not a transitive relation
D. R₂ is transitive but R₁ is not a transitive relation