parabola
ellipse
circle
When a right circular cone is intersected by a plane that passes through one vertex (nape) of the cone and is not parallel to any edge, the resulting shape is a parabola. This occurs because the plane cuts through the cone in such a way that it creates a curved section, which is characteristic of a parabola. The specific orientation and angle of the plane will determine the exact dimensions and location of the parabola within the cone.
It will be a hyperbola.
hyperbola
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.
hyperbola
parabola
If a right circular cone intersects a plane that passes through one of its nappes, but the plane is not parallel to an edge of the cone, the resulting curve will bea(n) _____ . ellipse
if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
CIRCLE!
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
ellipse
If I understand your question correctly, it would be an ellipse.
Then the intersection is a hyperbola.
circle