Mathematics · essential
Elements of ellipse on x-axis for JEE
Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms
Formula
\(\text{Centre}=(0,0),\ \text{Vertices}=(\pm a,0),\ \text{Co-vertices}=(0,\pm b),\ \text{Foci}=(\pm c,0),\ \text{Directrices}: x=\pm\dfrac{a}{e},\ \text{Length of latus rectum}=\dfrac{2b^2}{a}\)
Variables: For \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), \(c^2=a^2-b^2\).
Ellipse geometry and standard results.