General Conic Section - Which cone/plane create the curve?

For any general conic section defined by Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, this applet gives you a cone and a plane whose intersection gives the same curve. For non-degenerate cases, the type of conic curve is identified (ellipse, parabola, hyperbola). Admittedly, degenerate cases (points, parallel lines, intersecting lines) are not detected, yet the world keeps turning!

 

jeromeawhite

 
Resource Type
Activity
Tags
cone  conic  conic-sections  ellipse  exploration  hyperbola  parabola  precalculus  section 
Target Group (Age)
15 – 18
Language
English (United States)
 
 
 
© 2018 International GeoGebra Institute