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JEE-MAIN 2020
03-09-2020 S2
Question
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
$R_2=\left\{(a, b) \in R^2: a^2+b^2 \in Q\right\}$, where $Q$ is the set of all rational numbers. Then :
Select the correct option:
A
Neither R1 nor R2 is transitive
B
R2 is transitive but R1 is not transitive
C
R1 and R2 are both transitive
D
R1 is transitive but R2 is not transitive.
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