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Mathematics · 2025

JEE Main · 3 April 2025, Shift 1 · Q1

Let A ={-3,-2,-1,0,1,2,3}. Let R be a relation on A defined by x R y if and only if 0 ≤ x^2+2 y ≤ 4. Let l be the number of elements in R and m be…

Let $\displaystyle \mathrm{A}=\{-3,-2,-1,0,1,2,3\}$. Let R be a relation on A defined by $\displaystyle x \mathrm{R} y$ if and only if $\displaystyle 0 \leq x^2+2 y \leq 4$. Let $\displaystyle l$ be the number of elements in R and $\displaystyle m$ be the minimum number of elements required to be added in R to make it a reflexive relation. Then $\displaystyle l+m$ is equal to
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.