Question

The figure given below shows a relation $R$ between the sets $A$ and $B$.

Then which of the following is correct?
I. The relation $R$ in set-builder form is $\{(x,y):x$ is the square of $y,x\in A,y\in B\}$
II. The domain of the relation $R$ is $\{4,9,25\}$
III. The range of the relation $R$ is $\{-5,-3,-2,2,3,5\}$

• A. Only I and II are true.
• B. Only II and III are true.
• C. I, II and III are true
• D. Neither I, II nor III are true.

Answer 1

Answer: (C)

$R=\{(9,3),(9,-3),(4,2),(4,-2),(25,5),(25,-5)\}$
Domain $=$ Set of first elements of ordered pairs in $R$.
Range $=$ Set of second elements of ordered pairs in $R$.