A cut through a hyperboloid of one sheet

Calculus Level pending

The image attached shows a hyperboloid of one sheet intersecting with a plane.

The cut shown in the image is elliptical. How many different types of cuts are possible when a plane cuts through this hyperboloid of one sheet ?

Note: Ellipses and Circles are considered to be the same type.

2 1 4 3 5

Hosam Hajjir by Hosam Hajjir , 56, Canada

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1 solution

Hosam Hajjir
Oct 7, 2019

The cut can be:

  1. Elliptical
  2. Parabolic
  3. Hyperbolic
  4. A pair of intersecting lines
  5. A pair of parallel lines
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