# Ellipse Geometry

Ellipse Geometry is used for proving ellipse questions relating to geometry such as similar triangles and circle geometry. Worked Examples of Ellipse Geometry The diagram shows the ellipse $\displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $a>b$. (a)    Prove that $SQ = RQ$. The reflection property of the ellipse indicates […]

# Ellipse Discriminant Eccentricity

Discriminant can be used to ellipses for identifying the status of their intersections in conjunction with eccentricity. The eccentricity of $\displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is $\displaystyle e^2 = 1 – \frac{b^2}{a^2}$. Worked Example of Ellipse Discriminant Eccentricity (a)    The tangent $\ell$ has equation $y=mx+k$. Show that […]