Mathematics · 2025
JEE Main · 3 April 2025, Shift 2 · Q1
Let A={-2,-1,0,1,2,3}. Let R be a relation on A defined by x R y if and only if y= max {x, 1}. Let l be the number of elements in R. Let m and n be…
Let $\displaystyle A=\{-2,-1,0,1,2,3\}$. Let R be a relation on $\displaystyle A$ defined by $\displaystyle x \mathrm{R} y$ if and only if $\displaystyle y=\max \{x, 1\}$. Let $\displaystyle l$ be the number of elements in R . Let $\displaystyle m$ and $\displaystyle n$ be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then $\displaystyle l+m+n$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 12$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.