Conic Sections

Conics is the intersection of a plane and the right circular cones called nappes.

• True

• False

Circle is the figure formed when the cutting plane on a nappe is perpendicular to the cone axis.

• True

• False

A degenerate ellipse is represented by a line.

• True

• False

Degenerate conics are formed when the cutting plane crosses the vertex.

• True

• False

Hyperbola is the figure formed when the plane intersects both nappes and is parallel to the cone axis.

• True

• False

A degenerate parabola is represented by a point.

• True

• False

Parabola is the figure formed when the plane cuts one nappe at an angle with the cone axis.

• True

• False

Ellipse is the figure formed when the plane cuts one nappe parallel to the side of the cone.

• True

• False

If the cutting plane passes through the vertex perpendicular to the cone axis, a point is formed.

• True

• False

A degenerate hyperbola is represented by intersecting lines.

• True

• False