The intersection of a right circular cone with a plane that is perpendicular to the cone's axis and does not pass through the vertex will result in a circle. This is because the plane cuts through the cone at a constant distance from the vertex, creating a cross-section that is a circle. The size of the circle depends on how far the plane is from the vertex along the cone's axis.
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
Hyperbola.
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 I understand your question correctly, it would be an ellipse.
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.
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
circle
circle
Hyperbola.
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
CIRCLE!
ellipse
If I understand your question correctly, it would be an ellipse.
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.