The relation R is defined on the set of natur | vedclass

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

Question

(B) The relation $R$ is defined as $R = \{(a, b) : a = 2b, a, b \in \mathbb{N}\}$.Listing the elements of $R$,we get $R = \{(2, 1), (4, 2), (6, 3), \d

Vedclass · Accepted Answer

$\{(1, 2), (2, 4), (3, 6), \dots\}$

Vedclass · Answer

(B) The relation $R$ is defined as $R = \{(a, b) : a = 2b, a, b \in \mathbb{N}\}$.Listing the elements of $R$,we get $R = \{(2, 1), (4, 2), (6, 3), \dots\}$.The inverse relation $R^{-1}$ is obtained by interchanging the elements of the ordered pairs in $R$,such that $R^{-1} = \{(b, a) : (a, b) \in R\}$.Therefore,$R^{-1} = \{(1, 2), (2, 4), (3, 6), \dots\}$.Thus,the correct option is $B$.

The relation $R$ is defined on the set of natural numbers as $\{(a, b) : a = 2b\}$. Then $R^{-1}$ is given by

Similar Questions

Check whether the relation $R$ in $\mathbb{R}$ defined by $R = \{(a, b) : a \leq b^3\}$ is reflexive,symmetric,or transitive.

Let $R = \{(x,y) : x,y \in N \text{ and } x^2 - 4xy + 3y^2 = 0\}$,where $N$ is the set of all natural numbers. Then the relation $R$ is

The number of non-empty equivalence relations on the set $\{1, 2, 3\}$ is :

Show that the relation $R$ in the set $A$ of all the books in a library of a college,given by $R = \{(x, y) : x \text{ and } y \text{ have the same number of pages} \}$ is an equivalence relation.

The relation "congruence modulo $m$" is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module