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Mathematics · 2024

JEE Main · 9 April 2024, Shift 1 · Q21

Let A ={2,3,6,7} and B ={4,5,6,8}. Let R be a relation defined on A × B by ( a_1, b_1) R ( a_2, b_2) if and only if a_1+ a_2= b_1+ b_2. Then the…

Let $\displaystyle \mathrm{A}=\{2,3,6,7\}$ and $\displaystyle \mathrm{B}=\{4,5,6,8\}$. Let R be a relation defined on $\displaystyle \mathrm{A} \times \mathrm{B}$ by $\displaystyle \left(\mathrm{a}_1, \mathrm{~b}_1\right) \mathrm{R}\left(\mathrm{a}_2, \mathrm{~b}_2\right)$ if and only if $\displaystyle \mathrm{a}_1+\mathrm{a}_2=\mathrm{b}_1+\mathrm{b}_2$. Then the number of elements in R is $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.