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

Question

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

Examsnet · Accepted Answer

Correct Answer is :  Only R2 is an equivalence relation

JEE Main 1-Feb-2024 Shift 2 Solved Paper