Condition for a Point to Lie Outside the Ellipse

Rarely Tested

Condition for a Point to Lie Outside the Ellipse

A point $$P(x_1,y_1)$$ lies outside the ellipse when:

$$\frac{x_1^2}{a^2}+\frac{y_1^2}{b^2}>1$$

Usage

- Used to determine whether real tangents can be drawn from the point.

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