Conic sections
1. When is 40 and is 35 the intersection of the plane and the (double) cone give a hyperbola. Find all the pais () with this property, (that is, the intersection of the plane and the cone is a hyperbola)
2. For which values of () the intersection of the plane and the cone is an ellipse?
3. For which values ( () ) of the intersection of the plane and the cone is a circle?
4. For which values of ( () ) the intersection of the plane and the cone is a parabola?
5. Can you find any other curve as the intersection of the plane and the cone?
(Answers in PollsEv)