Combined Equation of Asymptotes

Rarely Tested

Combined Equation of Asymptotes

For:

$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$

the combined equation of the asymptotes is:

$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=0$$

or:

$$b^2x^2-a^2y^2=0$$

Usage

- Used when the pair of asymptotes is required in combined form.

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