Let $H$ be the set of all houses in a village where each house is faced in one of the directions, East, West, North, South. Let $R = \{ (x,y)|(x,y) \in H \times H$ and $x, y$ are faced in same direction $\}$ . Then the relation $' R '$ is
non symmetric
only reflexive and symmetric
non reflexive
an equivalence relation
Let $R$ and $S$ be two relations on a set $A$. Then
If $R \subset A \times B$ and $S \subset B \times C\,$ be two relations, then ${(SoR)^{ - 1}} = $
The probability that a relation $R$ from $\{ x , y \}$ to $\{ x , y \}$ is both symmetric and transitive, is equal to
Let $R$ be a relation on a set $A$ such that $R = {R^{ - 1}}$, then $R$ is
Determine whether each of the following relations are reflexive, symmetric and transitive:
Relation $R$ in the set $A$ of human beings in a town at a particular time given by
$R =\{(x, y): x$ and $y$ live in the same locality $\}$