CAT (QA) PYQs

If the sum of squares of two numbers is $97$, then which one of the following cannot be their product?

The number of distinct pairs of integers $(m, n)$ satisfying $|1 + mn| < |m + n| < 5$ is

Any non-zero real numbers $x, y$ such that $y \neq 3$ and $\frac{x}{y}<\frac{x+3}{y-3}$, Will satisfy the condition.