Mathematics · 2022
JEE Main · 27 July 2022, Shift 1 · Q1
Let R_1 and R_2 be two relations defined on R by a R_1 b ⇔ a b ≥ 0 and a R_2 b ⇔ a ≥ b Then,
Let $\displaystyle R_1$ and $\displaystyle R_2$ be two relations defined on $\displaystyle \mathbb{R}$ by $\displaystyle a R_1 b \Leftrightarrow a b \geq 0$ and $\displaystyle a R_2 b \Leftrightarrow a \geq b$
Then,
Official answer
(4)
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.