Length of Tangent from an External Point
For an external point $$P(x_1,y_1)$$, if $$PT$$ is a tangent to the ellipse, then:
$$PT^2=a^2\left(\frac{x_1^2}{a^2}+\frac{y_1^2}{b^2}-1\right)$$
Usage
- Used to calculate the tangent length from a point outside the ellipse.