Let $R$ be a relation on $N$ defined by $x + 2y = 8$. The domain of $R$ is
$\{2, 4, 8\}$
$\{2, 4, 6, 8\}$
$\{2, 4, 6\}$
$\{1, 2, 3, 4\}$
The relation $R =\{( a , b ): \operatorname{gcd}( a , b )=1,2 a \neq b , a , b \in Z \}$ is:
Give an example of a relation. Which is Symmetric but neither reflexive nor transitive.
Let $R = \{(1, 3), (2, 2), (3, 2)\}$ and $S = \{(2, 1), (3, 2), (2, 3)\}$ be two relations on set $A = \{1, 2, 3\}$. Then $RoS =$
Let $A = \{p, q, r\}$. Which of the following is an equivalence relation on $A$
Let $A=\{1,2,3\} .$ Then show that the number of relations containing $(1,2) $ and $(2,3)$ which are reflexive and transitive but not symmetric is four.