Mathematics · 2022
JEE Main · 28 June 2022, Shift 2 · Q1
Let R_1={( a, b ) ∈ N × N:| a - b | ≤ 13} and R_2={( a, b ) ∈ N × N:| a - b | ≠ 13}. Then on N:
Let $\displaystyle \mathrm{R}_1=\{(\mathrm{a}, \mathrm{b}) \in \mathbf{N} \times \mathbf{N}:|\mathrm{a}-\mathrm{b}| \leqslant 13\}$ and $\displaystyle \mathrm{R}_2=\{(\mathrm{a}, \mathrm{b}) \in \mathbf{N} \times \mathbf{N}:|\mathrm{a}-\mathrm{b}| \neq 13\}$. Then on $\displaystyle \mathbf{N}$ :
Official answer
(2)
Neither $\displaystyle R_1$ nor $\displaystyle R_2$ is an equivalence relation
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.