A={1,2,3,5} and B={4,6,9} . Define a relation R from A to B by R = { (x,y): difference between x and

English

Gujarati

Hindi

2.Relations and Functions

easy

$A=\{1,2,3,5\}$ and $B=\{4,6,9\} .$ Define a relation $R$ from $A$ to $B$ by $R = \{ (x,y):$ the difference between $ x $ and $ y $ is odd; ${\rm{; }}x \in A,y \in B\} $ Write $R$ in roster form.

Option A

Option B

Option C

Option D

Solution

$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$

$R = \{ (x,y):$ the difference between $ x $ and $ y $ is odd; ${\rm{; }}x \in A,y \in B\} $

$\therefore R=\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)\}$

Standard 11

Mathematics

Share

Similar Questions

Let $A=\{x, y, z\}$ and $B=\{1,2\} .$ Find the number of relations from $A$ to $B$.

easy

Let $X = \{ 1,\,2,\,3,\,4,\,5\} $ and $Y = \{ 1,\,3,\,5,\,7,\,9\} $. Which of the following is/are relations from $X$ to $Y$

easy

Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?

$(a, b) \in R,$ implies $(b, a) \in R$

easy

Write the relation $R = \{ \left( {x,{x^3}} \right):x$ is a prime number less than $10{\rm{\} }}$ in roster form.

easy

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

Write $R$ in roster form

easy