**Question:**

Let $R_{1}$ and $R_{2}$ be two relations defined as follows :

$R_{1}=\left\{(a, b) \in \mathbf{R}^{2}: a^{2}+b^{2} \in Q\right\}$ and

$R_{2}=\left\{(a, b) \in \mathbf{R}^{2}: a^{2}+b^{2} \notin Q\right\}$, where $Q$ is the set of all rational numbers. Then :

Correct Option: 1

JEE Main Previous Year Sep. 03, 2020 (II)

**Solution:**