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If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex as in the picture below what shape is produced?
A line is produced
How does a right circular cone look?
A right circular cone looks like a martini glass. Actually, the martini glass is only a part of one half of the cone. Think also of an ice cream cone, again being part of one half. Formally, the right circular cone is the surface in three-dimensional space swept by a line that intersects a point and the domain of the circumference of a circle, said point lying on a line perpendicular (right angle) to the circle and intersecting its radius. Since the line sweeps through a point, there are two nappes, one on each side of that single point. The perpendicular line is called the axis, and the point is called the vertex.
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cones axis the resulting curve will?
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 plane intersects a right circular cone through both nappes what conic section is created?
Hyperbola
Which conic section is created if a plane intersects a right circular cone through both nappes?
A hyperbola.
What is it called when a plane intersects a right circular cone through both nappes?
The intersection forms a hyperbola.
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis the resulting curve?
CIRCLE!
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis the resulting curve w?
ellipse
What 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?
Then the intersection is a hyperbola.
What is the resulting curve if a circular cone intersects a plane that passes through one of its nappes but the plane iis neither parallel nor perpendicular to the cones axis?
If I understand your question correctly, it would be an ellipse.
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis?
ellipse
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?
It will be a hyperbola.
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?
hyperbola
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?
hyperbola
