Question

If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following options is correct?

• A. $x\ne 0$, y can be 0
• B. x can be 0, $y\ne 0$
• C. $x\ne 0,y\ne 0$
• D. both x and y can be 0

Answer 1

The correct option is C

$x\ne 0,y\ne 0$

A rational number cannot have its denominator as 0. As $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, $x\ne 0,y\ne 0$.