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question 6 of 10
a(n) ____ is produced when you slice a cone with a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone.
a. circle
b. hyperbola
c. ellipse
d. parabola
When a plane slices a cone through only one nappe and is not parallel to an edge of the cone, an ellipse is formed. A circle requires the plane to be perpendicular to the cone's axis, a hyperbola is formed when the plane intersects both nappes, and a parabola when the plane is parallel to an edge of the cone.
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C. ellipse