Let $P = \{ (x,\,y)|{x^2} + {y^2} = 1,\,x,\,y \in R\} $. Then $P$ is
Reflexive
Symmetric
Transitive
Anti-symmetric
A relation from $P$ to $Q$ is
Let $R$ be a relation on $N$ defined by $x + 2y = 8$. The domain of $R$ is
The relation $R =\{( a , b ): \operatorname{gcd}( a , b )=1,2 a \neq b , a , b \in Z \}$ is:
A relation on the set $A\, = \,\{ x\,:\,\left| x \right|\, < \,3,\,x\, \in Z\} ,$ where $Z$ is the set of integers is defined by $R= \{(x, y) : y = \left| x \right|, x \ne - 1\}$. Then the number of elements in the power set of $R$ is
Let $R$ and $S$ be two equivalence relations on a set $A$. Then