Difference of Focal Distances

Rarely Tested

Difference of Focal Distances

For any point $$p$$ on the hyperbola:

$$|PS_1-PS_2|=2a$$

Terminology

- $$PS_1$$ and $$PS_2$$ → Distances of point $$p$$ from the two foci.

Usage

- Fundamental defining property of a hyperbola; used extensively in focal-distance problems.

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