Conics Section

If a plane intersects a double-napped cone perpendicular to the base of the cone, but not through the vertex, what type of conic section is formed?

• Circle

• Ellipse

• Hyperbola

• Parabola

If a plane intersects a double-napped cone perpendicular to the vertical axis of the cone, but not through the vertex, what type of conic section is formed?

• Circle

• Ellipse

• Hyperbola

• Parabola

If a plane intersects a double-napped cone parallel to the slant height of the cone, but not through the vertex, what type of conic section is formed?

• Circle

• Ellipse

• Hyperbola

• Parabola

A plane intersects a single nappe of a double-napped cone, such that it is perpendicular to the vertical axis of the cone. Which conic section is formed?

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Why are Conic Sections given this name?

• They are the cross-sections given when a cone is sliced.

• Because it's part of 'da rules'

• They are the cross-sections given when any 3D image is sliced.

Which of the following statements are NOT true

• The minor axis of a vertical ellipse is vertical

• The transverse axis of a horizontal hyperbola is horizontal.

• Another name for the transverse axis of a hyperbola is the minor axis.

• If the equation of a circle is: x² + y² = 8, the diameter of the circle is 16.

• The parabola 12y = 6x² -30 opens up

Which of the following are true?

• A parabola has 2 foci.

• A circle's diameter is equal to it's radius squared

• A hyperbola uses a²+b²=c²

• An ellipse uses a²+b²=c²

• The distance from the center to a vertex along the transverse axis is 'a' in a hyperbola

If a plane intersects a double-napped cone parallel to the vertical axis of the cone, but not through the vertex, what type of conic section is formed?

• Circle

• Ellipse

• Hyperbola

• Parabola

Which conic section results from the intersection of the plane and the double-napped cone where the plane is parallel to the slant generating line?

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Which description below will result in the conic section shown?

• A plane intersects a double-napped cone parallel to the slant height of the cone.

• A plane intersects a double-napped cone perpendicular to the slant height of the cone.

• A plane intersects a double-napped cone parallel to the base of the cone.

• A plane intersects a double-napped cone perpendicular to the axis of the cone.