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The various shapes are: point, straight line, circle, ellipse, parabola and hyperbola.

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Q: What can be formed when a plane intersects a cone?
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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.


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.

Related questions

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.


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.


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


If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve will be?

Parabola


If a right circular cone intersects a plane that runs perpendicular to the cone's axis the resulting curve will be?

a circle