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a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, as in the picture below, what shape is produced?A.A lineB.A pointC.A circleD.An ellipseE.A parabolaF.A hyperbolaSUBMITarrow_backPREVIOUS

Question

a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, as in the picture below, what shape is produced?A.A lineB.A pointC.A circleD.An ellipseE.A parabolaF.A hyperbolaSUBMITarrow_backPREVIOUS

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Solution

The shape produced when a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe is a hyperbola. So, the answer is F. A hyperbola.

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