It's important to know that conic sections have quadratic equations as formulas.
In this case, the equation of a hyperbola is
![Ax^2+Bxy+Cy^2+Dx+Ey+F=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/f9cf3uhwalg9qnutwma4goa82srxuyw5rx.png)
Where AC<0.
The reason for this is because if AC<0, then the coefficients A and C will have opposite signs, which is a main characteristic of hyperbolas.
Hence, the statement is true.