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Let \( R_{1} \) and \( R_{2} \) be two relation defined as follows :
\( \mathrm{R}_{1}=\left\{(\mathrm{a}, \mathrm{b}) \in \mathrm{R}^{2}: \mathrm{a}^{2}+\mathrm{b}^{2} \in \mathrm{Q}\right\} \) and
\( R_{2}=\left\{(a, b) \in R^{2}: a^{2}+b^{2} \notin Q\right\} \), where \( Q \) is the set of the
rational numbers. Then :
(1) Neither \( R_{1} \) nor \( R_{2} \) is transitive.
(2) \( R_{2} \) is transitive but \( R_{1} \) is not transitive
(3) \( R_{1} \) and \( R_{2} \) are both transitive.
(4) \( R_{1} \) is transitive but \( R_{2} \) is not transitive.
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