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Normal to a Translated Ellipse
For point $$P(x_1,y_1)$$ on:
$$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$$
the normal is:
$$\frac{a^2(x-h)}{x_1-h}-\frac{b^2(y-k)}{y_1-k}=a^2-b^2$$
Usage
- Used to find the normal when the coordinates of the point of contact are known.
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