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Q. If $A=\{2,3,4,5\}$ and $B=\{3,6,7,10\} . R$ is a relation defined by $R=\{(a, b): a$ is relatively prime to $b$, $a \in A$ and $b \in B\}$, then domain of $R$ is

Relations and Functions

Solution:

In Roster form relation $R$ is,
$R=\{(2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3),(5,6),(5,7)$
$ \therefore \text { Domain of } R=\{2,3,4,5\}$