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Mathematics · 2025

JEE Main · 4 April 2025, Shift 2 · Q2

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

Let $\displaystyle \mathrm{A}=\{-3,-2,-1,0,1,2,3\}$ and R be a relation on A defined by $\displaystyle x \mathrm{R} y$ if and only if $\displaystyle 2 x-y \in\{0,1\}$. Let $\displaystyle l$ be the number of elements in R . Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then $\displaystyle l+\mathrm{m}+\mathrm{n}$ 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.