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
Question
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
Solution
The shape produced when a right circular cone is intersected by a plane that is parallel to one edge of the cone is E. A parabola. This is because the intersection of a plane and a cone can result in different conic sections depending on the angle of intersection. In this case, when the plane is parallel to the edge of the cone, it cuts the cone in a way that forms a parabola.
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