Which of the following is not correct for relation $\mathrm{R}$ on the set of real numbers ?
Which of the following is not correct for relation $\mathrm{R}$ on the set of real numbers ?
- [JEE MAIN 2021]
- A
$(\mathrm{x}, \mathrm{y}) \in \mathrm{R} \Leftrightarrow 0<|\mathrm{x}|-|\mathrm{y}| \leq 1$ is neither transitive nor symmetric.
- B
$(x, y) \in R \Leftrightarrow 0<|x-y| \leq 1$ is symmetric and transitive.
- C
$(x, y) \in R \Leftrightarrow|x|-|y| \leq 1$ is reflexive but not symmetric.
- D
$(\mathrm{x}, \mathrm{y}) \in \mathrm{R} \Leftrightarrow|\mathrm{x}-\mathrm{y}| \leq 1$ is reflexive and symmetric.
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- [JEE MAIN 2022]
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