Let $R _{1}=\{( a , b ) \in N \times N :| a - b | \leq 13\}$ and $R _{2}=\{( a , b ) \in N \times N :| a - b | \neq 13\} .$ Thenon $N$
Let $R _{1}=\{( a , b ) \in N \times N :| a - b | \leq 13\}$ and $R _{2}=\{( a , b ) \in N \times N :| a - b | \neq 13\} .$ Thenon $N$
- [JEE MAIN 2022]
- A
Both $R_{1}$ and $R_{2}$ are equivalence relations
- B
Neither $R_{1}$ nor $R_{2}$ is an equivalence relation.
- C
$R_{1}$ is an equivalence relation but $R_{2}$ is not
- D
$R_{2}$ is an equivalence relation but $R_{1}$ is not
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- [JEE MAIN 2024]