Question

A relation $R$ from set $A=\{1,2,3,5\}$ to $B=\{1,4,9,15\}$ is defined as :
$R=\left\{\right(x,y):x=\sqrt{y};x\in A,y\in B\},$ then which of the following option is correct ?

• A. Domain of $R=\{1,2,3,5\}$
• B. Range of $R=\{1,4,9,15\}$
• C. Domain of $R=\{1,2,3,4,5\}$
• D. Range of $R=\{1,4,9\}$

Answer 1

The correct option is D Range of $R=\{1,4,9\}$

$A=\{1,2,3,5\},B=\{1,4,9,15\}$
$R=\left\{\right(1,1),(2,4),(3,9\left)\right\}$
Domain $=\{1,2,3\}$
Range $=\{1,4,9\}$