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What is the shape of a cross section formed when the cone is sliced by a slanted plane?
When a cone is sliced by a slanted plane, the cross section formed is typically an ellipse. The exact shape can vary depending on the angle and position of the plane relative to the cone. If the plane is parallel to the cone's base, the cross section will be a circle; if it intersects the cone at a steeper angle, the resulting shape will be an ellipse.
If plane intersects a right circular cone perpendicular to the axis of the cone then what is the shape of the 2dimensional figure formed from the intersection of the plane with the cone mean?
If this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?
The intersection of the cone and that particular plane is a parabola.
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?
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.
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 shape of the cross-section formed when a cone intersects a plane as shown in the drawing?
A. Circle just did it on apex!
If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve is?
The "conic section" that is produced when a right circular cone intersects a plane that runs parallel to the edge of the cone is a parabola. In the case where the plane also intersects the vertex of the cone, the parabola becomes two intersecting lines.
What is the shape of a cross section formed when the cone is sliced by a slanted plane?
When a cone is sliced by a slanted plane, the cross section formed is typically an ellipse. The exact shape can vary depending on the angle and position of the plane relative to the cone. If the plane is parallel to the cone's base, the cross section will be a circle; if it intersects the cone at a steeper angle, the resulting shape will be an ellipse.
If plane intersects a right circular cone perpendicular to the axis of the cone then what is the shape of the 2dimensional figure formed from the intersection of the plane with the cone mean?
If this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?
The intersection of the cone and that particular plane is a parabola.
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?
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 runs perpendicular to the cone's axis What is the curve?
Helix
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 what?
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
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 produced when you slice a cone with the plane that passes?
When a cone is sliced by a plane, the shape of the resulting cross-section depends on the angle at which the plane intersects the cone. If the plane is horizontal, it produces a circle; if it is angled but does not intersect the base, it creates an ellipse; if the plane is vertical and intersects both halves, it forms a parabola; and if the plane is vertical and intersects the apex, it results in a hyperbola. Thus, the type of conic section produced varies with the orientation of the slicing plane.
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 n?
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 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
