Conic Sections Flashcards

(10 cards)

1
Q

are the curves obtained from the intersection between a double-napped cone and a plane.

A

Conic sections

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2
Q

the non-degenerate conic sections,

A

parabola,
ellipse,
hyperbola,
circle

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3
Q

One type of ellipse

A

a circle,

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4
Q

Then the resulting surface is referred as double-napped right circular cone.

A

double-napped right circular
hollow cone

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5
Q

are formed when the plane is parallel to the generating line of one cone or if the angle between the
plane and the axis is equal to the vertex angle.

A

Parabola

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6
Q

formed when the plane is tilted such that angle between the plane and the axis is greater than the vertex
angle but less than 90°

A

Ellipse

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7
Q

are formed when the plane is parallel to the axis of revolution or the y-axis. If the angle formed
between the plane and the axis is less than the vertex angle but greater than or equal to zero.

A

Hyperbolas

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8
Q

are formed when the intersection of the plane is perpendicular to the axis of revolution.

A

Circles

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9
Q

are formed when a plane intersects the cone in such a way that it passes through the
vertex.

A

Degenerate conic sections

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10
Q

three degenerate conic sections

A

single point,
line,
and two
intersecting lines

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