Condition for a Point to Lie on the Ellipse

Rarely Tested

Condition for a Point to Lie on the Ellipse

A point $$P(x_1,y_1)$$ lies on:

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

when:

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

Usage

- Used to verify whether a given point belongs to the ellipse.

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