If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.A.circleB.parabolaC.ellipseD.hyperbola
Question
If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.A.circleB.parabolaC.ellipseD.hyperbola
Solution
The answer is B. Parabola. When a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve is a parabola. This is a fundamental principle in conic sections, a topic in geometry.
Similar Questions
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) _____.A.ellipseB.circleC.parabolaD.hyperbolaSUBMITarrow_backPREVIOUS
If a right circular cone is intersected by a plane that is parallel to one edge of the cone, as in the picture below, what shape is produced?A.A pointB.A circleC.A lineD.A hyperbolaE.A parabolaF.An ellipseSUBMITarrow_backPREVIOUS
When a right circular cone is cut by a planeparallel to the axis of the cone the conicsection formed is a/an _____________.A. HyperbolaB. ParabolaC. CircleD. Ellipse
A(n) _____ is produced when you slice a cone with a plane that is parallel to the base of the cone.A.circleB.parabolaC.hyperbolaD.ellipse
Given a right circular cone, a plane that intersects the cone (not at the vertex) and is parallel to its edge will always result in a parabola, regardless of the shape of the cone.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.