Question

If $A=\{1,2,3,\}\&B=\{1,4,6,9\}$ and $\mathrm{R}$ is a relation from $\mathrm{A}\mathrm{to}\mathrm{B}$ defined by $x>y,$where $x\in A\&y\in B$ The range of $\mathrm{R}$ is

• A. $\{1,4,6,9\}$
• B. $\{4,6,9\}$
• C. $\left\{1\right\}$
• D. None of these

Answer 1

The correct option is C

$\left\{1\right\}$

Explanation for the correct option:

Finding Range:

Given $A=\{1,2,3,\}\&B=\{1,4,6,9\}$

$\mathrm{R}$ is a relation $‘AtoB’$ defined by $x>y,$where $x\in A\&y\in B$

Then range of $\mathrm{R}$$=\left\{(2,1),(3,1)\right\}$

Range of $\mathrm{R}$$=\left\{1\right\}$

Hence, correct option is $\mathbf{\left(}\mathit{C}\mathbf{\right)}\mathbf{.}$.