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 …

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

[JEE Main 2024, 1 Feb (Shift 2)]