Let $P = \{ (x,\,y)|{x^2} + {y^2} = 1,\,x,\,y \in R\} $. Then $P$ is
Reflexive
Symmetric
Transitive
Anti-symmetric
For real numbers $x$ and $y$, we write $ xRy \in $ $x - y + \sqrt 2 $ is an irrational number. Then the relation $R$ is
Let $A = \{p, q, r\}$. Which of the following is an equivalence relation on $A$
Let $A = \{1, 2, 3, 4\}$ and $R$ be a relation in $A$ given by $R = \{(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)\}$. Then $R$ is
$R$ is a relation over the set of real numbers and it is given by $nm \ge 0$. Then $R$ is
Give an example of a relation. Which is Reflexive and symmetric but not transitive.