Circle: If the knife is perpendicular to the axis of the cone.
Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).
Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).
Hyperbola: If the knife is parallel to the axis of the cone.
Triangle: If the knife is perpendicular to the base of the cone.
Point: If the knife is parallel to the base the cone and through the apex
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The answer depends on the angle at which the axis of the cone intersects the cross-sections.
cone
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.
cone
No because it would be smaller.