Let $ R_{1} $ and $ R_{2} $ be two relations defined as follows: $ R_{1}=\left\{(a, b) \in R^{2}: a^{2}+b^{2} \in Q\right\} $ and $ R_{2}=\left\{(a, b) \in R^{2}: a^{2}+b^{2} \notin Q\right\} $, where $ Q $ is the set of all rational numbers. Then: [JEE Main 2020, 3 Sep (Shift 2)]

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Let \( R_{1} \) and \( R_{2} \) be two relations defined as follows: \( R_{1}=\left\{(a, b) \in R^{2}: a^{2}+b^{2} \in Q…

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