it follows that this conic section is an ellipse if \(0\lt k\lt 3\text ... we see that the eccentricity is \(e=2\) and the equation therefore represents a hyperbola. From \(\ds ed=\frac{1}{2}\) we ...

Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

The outer shape is an ellipse with two extra dissimilar conical sections ... The hyperbola, if extended,crosses the central major axis at the opposite (missing) end of the ellipse. Conics were ...