Share0 Share +10 Tweet0 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 \( SQ = RQ \). (b) Show \( […]

# Conics

# Ellipse Discriminant Eccentricity

Share0 Share +10 Tweet0 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 […]