Question

Assertion :The relation $R$ in a set
$A=\{1,2,\mathrm{3...14}\}$ defined by $R=\left\{\right(x,y):3x-y=0\}$ have the domain $=\{1,2,3,4\}$ and $R=\{3,6,9,12\}$. Reason: Domain and Range of the relation $\left(R\right)$ is respectively the set of all first and second entries of the distinct ordered pair of the relation.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

$R=\{(x,y):y=3x,x\in A\}$

$\therefore R=\{(1,3),(2,6),(3,9),(4,12)\}$

$\therefore$ Domain of the relation $=\{1,2,3,4\}$

and Range of the relation $=\{3,6,9,12\}$

$\therefore$ Both Assertion and Reason are correct and Reason is the correct explanation for Assertion