Consider the relations R_1 and R_2 defined as a R_1 b \Leftrightarrow a^2+b^2=1 for all a, b, \in R and (a, b) R_2(c, d) \Leftrightarrow {\a}+ {\d}= {\b}+ {\c} for all ( {\a}, {\b}),( {\c}, {\d}) \in {\N} \times {\N}. Then [1-Feb-2024 Shift 2]

Correct Answer is : Only R2 is an equivalence relation

Only R_1 is an equivalence relation

Only R_2 is an equivalence relation

R_1 and R_2 both are equivalence relations

Neither R_1 nor R_2 is an equivalence relation

Sets and Relations Part 1

Section: Mathematics

Question : 39 of 112

Marks: +1, -0

Consider the relations R1 and R2 defined as aR1b ⇔a2+b2=1 for all a,b,∈R and (a,b)R2(c,d) ⇔a+d=b+c for all (a,b),(c,d)∈N×N. Then

[1-Feb-2024 Shift 2]

Go to Question:

Prev Question

Next Question