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Focal Property of a Translated Ellipse
For:
$$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$$
and foci:
$$(h-c,k),\quad(h+c,k)$$
every point $$p$$ on the ellipse satisfies:
$$PS_1+PS_2=2a$$
Usage
- Used in focal-distance problems for translated ellipses.
