Product of Perpendicular Distances from a Point on the Parabola

Rarely Tested

Product of Perpendicular Distances from a Point on the Parabola

For a point $$p$$ on:

$$y^2=4ax$$

the focal distance and distance from the directrix are equal:

$$SP\cdot PM=(x+a)^2$$

Usage

- Used when a product involving the focal and directrix distances is required.

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