Let `R_(1) ` and `R_(2)` be two relation defined as follows : `R_(1) = { (a,b) in R^(2) , a^(2) + b^(2) in Q}` and `R_(2) = {(a,b) in R^(2) , a^(2) + b^(2) cancel(in)Q)` where Q is the set of the rational numbers. Then:

Options

A. `R_(1)` and `R_(2)` are both transitivite
B. `R_(2)` is transitivite but `R_(1)` is not transitive .
C. Neither `R_(1) ` and `R_(2)` is transitive.
D. `R_(1)` is transitivie but `R_(2)` is not transitive .