Question

The figure shows a relation $R$ between the sets $P$ and $Q$.

The relation $R$ in Set-builder form is

• A. $\{(x, y): x \in P, y \in Q\}$
• B. $\{(x, y): x \in Q, y \in P\}$
• C. $\{(x, y): x$ is the square of $y, x \in P, y \in Q\}$
• D. $\{(x, y): y$ is the square of $x, x \in P, y \in Q\}$

Answer 1

Answer: (C)

It is obvious that the relation $R$ is ' $x$ is the square of $y$ '. In Set-builder form, $R=\{(x, y): x$ is the square of $y, x \in P, y \in Q\}$