Let A = {1, 2, 3, 4, 6}. Let R be the relatio | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The set $A$ is given as $A = \{1, 2, 3, 4, 6\}$.
$R$ is a relation on $A$ such that $b$ is exactly divisible by $a$.
We list the ordered pairs $

Vedclass · Accepted Answer

$\{1, 2, 3, 4, 6\}$

Vedclass · Answer

(B) The set $A$ is given as $A = \{1, 2, 3, 4, 6\}$.
$R$ is a relation on $A$ such that $b$ is exactly divisible by $a$.
We list the ordered pairs $(a, b)$ such that $a$ divides $b$:
$(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)$.
The domain of $R$ is the set of all first elements of the ordered pairs in $R$.
Domain $= \{1, 2, 3, 4, 6\}$.

Let $A = \{1, 2, 3, 4, 6\}$. Let $R$ be the relation on $A$ defined by $R = \{(a, b) : a, b \in A, b \text{ is exactly divisible by } a\}$. Find the domain of $R$.

Similar Questions

Let $R$ be an equivalence relation on a finite set $A$ having $n$ elements. Then the number of ordered pairs in $R$ is

If $R$ is an equivalence relation on a set $A$,then $R^{-1}$ is not :-

Let $A = \{p, q, r\}$. Which of the following is $NOT$ an equivalence relation on $A$?

On the power set $P(A)$ of a set $A$,the relation "is a subset of" $(\subseteq)$ is:

Let $R$ be a relation on the set of all natural numbers $\mathbb{N}$ defined by $aRb \iff a \text{ divides } b^2$. Which of the following properties does $R$ satisfy?
$I.$ Reflexivity
$II.$ Symmetry
$III.$ Transitivity

Vedclass Test Series

Exam Paper Generator

Online Exam Module