CAT 2023 Slot 2 Solved Paper

It is given that , which can be written as



$\Rightarrow \frac{3\left(\mathit{x}+\mathit{y}\right)}{\mathit{y}\left(\mathit{y}-3\right)}>0$
From this inequality, we can say that, when . Now to satisfy the given equation $\frac{3\left(\mathit{x}+\mathit{y}\right)}{\mathit{y}\left(\mathit{y}-3\right)}>0$,
$\left(\mathit{x}+\mathit{y}\right)$ must be greater than zero Hence, $\mathit{x}>0$ and $\left|\mathit{x}\right|>|\mathit{y}|$
Therefore, the magnitude of $\mathit{x}$ is greater than the magnitude of $\mathit{y}$.
Hence, $\mathit{x}>\mathit{y}$, and (Since the magnitude of $\mathit{x}$ is greater than the magnitude of $\mathit{y}$.)
The correct option is B.