Normal at a Point

Rarely Tested

Normal at a Point

For $$P(x_1,y_1)$$ on:

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

the normal is:

$$\frac{a^2x}{x_1}-\frac{b^2y}{y_1}=a^2-b^2$$

Usage

- Used when the coordinates of the point of contact are known.

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