Condition for a Conic to Be a Hyperbola

Rarely Tested

Condition for a Conic to Be a Hyperbola

For the general second-degree equation:

$$Ax^2+2Hxy+By^2+2Gx+2Fy+C=0$$

the conic is a hyperbola when:

$$H^2-AB>0$$

Usage

- Used to classify a general conic as a hyperbola.

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