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Mathematics · 2023

JEE Main · 15 April 2023, Shift 1 · Q21

Let A={1,2,3,4} and R be a relation on the set A × A defined by R={((a, b),(c, d)): 2 a+3 b=4 c+5 d}. Then the number of elements in R is ____.

Let $\displaystyle A=\{1,2,3,4\}$ and R be a relation on the set $\displaystyle A \times A$ defined by $\displaystyle R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}$. Then the number of elements in R is $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.