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 […]
