I drew two ellipses in GeoGebra that have a common focus and my purpose is to show all cases of their relative geometries. I used the Intersect(Object,Object) function to automatically detect possible intersections but the function fails when I insert the data that yields to tangency condition (that I previoulsy computed with Matlab).
My GeoGebra project is at the following link: relative_geometry_ellipses
Can you take a look at the project and tell me if it is a bug of Intersect(Object,Object) or if I have to use a different function?

P.s. the function works well in case of two distinct intersections as shown here:
