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.
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.
Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.
It will be a hyperbola.
hyperbola
hyperbola
An ellipse is produced.
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.
parabola
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
An Ellipse
A line is produced
CIRCLE!