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

  • [JEE MAIN 2023]
  • A

    $6$

  • B

    $5$

  • C

    $4$

  • D

    $3$

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