Let H be set of all houses in a village where each house is faced in one of directions, East, West,

English

Gujarati

Hindi

1.Relation and Function

normal

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

A

non symmetric

B

only reflexive and symmetric

C

non reflexive

D

an equivalence relation

Solution

Solution is Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

Standard 12

Mathematics

Share

Similar Questions

Let $R _{1}=\{( a , b ) \in N \times N 😐 a – b | \leq 13\}$ and $R _{2}=\{( a , b ) \in N \times N 😐 a – b | \neq 13\} .$ Thenon $N$

hard

(JEE MAIN-2022)

Determine whether each of the following relations are reflexive, symmetric and transitive:

Relation $\mathrm{R}$ in the set $\mathrm{Z}$ of all integers defined as $\mathrm{R} =\{(\mathrm{x}, \mathrm{y}): \mathrm{x}-\mathrm{y}$ is an integer $\}$

medium

The relation "less than" in the set of natural numbers is

easy

Let $N$ denote the set of all natural numbers and $R$ be the relation on $N \times N$ defined by $(a, b)$ $R$ $(c, d)$ if $ad(b + c) = bc(a + d),$ then $R$ is

hard

Show that the relation $R$ in the set $A=\{1,2,3,4,5\}$ given by $R =\{(a, b):|a-b|$ is even $\},$ is an equivalence relation. Show that all the elements of $\{1,3,5\}$ are related to each other and all the elements of $ \{2,4\}$ are

medium