Conic Sections

Question 1

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

Answer 1

Conic sections

Question 2

the non-degenerate conic sections,

Answer 2

parabola,
ellipse,
hyperbola,
circle

Question 3

One type of ellipse

Answer 3

a circle,

Question 4

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

Answer 4

double-napped right circular
hollow cone

Question 5

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.

Answer 5

Parabola

Question 6

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°

Answer 6

Ellipse

Question 7

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.

Answer 7

Hyperbolas

Question 8

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

Answer 8

Circles

Question 9

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

Answer 9

Degenerate conic sections

Question 10

three degenerate conic sections

Answer 10

single point,
line,
and two
intersecting lines