Question

A relation $R$ is defined from $\left\{2 , 3 , 4 , 5\right\}$ to $\left\{3 , 6 , 7 , 10\right\}$ by $xRy\Rightarrow x$ is relatively prime to $y$ , then domain of $R$ is

• A. $\left\{2 , 3 , 5\right\}$
• B. $\left\{3 , 5\right\}$
• C. $\left\{2 , 3 , 4\right\}$
• D. $\left\{2 , 3 , 4 , 5\right\}$

Answer 1

Answer: (D)

Given, $x R y \Rightarrow x$ to $y$.
$R=2,3,2,7,3,7,3,10,4,3$
$\therefore$ Domain of $R=2,3$