1.Consider the relations R1R_1R1 and R2R_2R2 defined as aR1b ⟺ a2+b2=1a R_1 b \iff a^2 + b^2 = 1aR1b⟺a2+b2=1 for all a,b∈Ra, b \in \mathbb{R}a,b∈R and (a,b)R2(c,d) ⟺ a+d=b+c(a, b) R_2 (c, d) \iff a + d = b + c(a,b)R2(c,d)⟺a+d=b+c for all (a,b),(c,d)∈N×N(a, b), (c, d) \in \mathbb{N} \times \mathbb{N}(a,b),(c,d)∈N×N. Thena.Only R1R_1R1 is an equivalence relationb.Only R2R_2R2 is an equivalence relationc.R1R_1R1 and R2R_2R2 both are equivalence relationsd.Neither R1R_1R1 nor R2R_2R2 is an equivalence relationLogin to continueOnly logged in users canattempt or see the solution.
