intro

Question 1

➢The first to show that conic sections may be obtained by cutting a cone by a plane that is not parallel to base of the cone.

Answer 1

MENAECHMUS

Question 2

➢ Define conic sections as curves formed when a plane intersects the surface of a cone
➢The one who gave the term conic section, parabola, ellipse and hyperbola

Answer 2

APOLLONUS Of
PERGA

Question 3

A _______ or simply ____ is a curve formed by a plane passing through a double-napped circular cone.

Answer 3

conic section, conics

Question 4

▪ The angular orientation of the plane relative to the cone defines whether the conic section is a circle, parabola, ellipse or hyperbola.

Answer 4

conic section

Question 5

__________ are formed when the plane does not pass through the vertex of the cone.

Answer 5

Non-degenerate conics

Question 6

When the plane becomes perpendicular to the axis and only intersects one nappe, the special kind of ellipse known as

Answer 6

circle is formed. 𝛽 = 90°

Question 7

▪ A_______ is generated when the plane is tilted so it is parallel to one generator and only intersects one nappes.

Answer 7

parabola

Question 8

If a double right circular cone is cut by a plane so that the angle between the plane and the axis is equal to the vertex angle. 𝛼 = 𝛽

Question 9

An _____ is generated when the plane is tilted so it intersects each generator, but only intersects one nappe.

Answer 9

ellipse

Question 10

▪ When the double right circular cone is cut by the plane so that the angle between the plane and the axis is greater than the vertex angle.

Answer 10

ellipse

Question 11

When the plane does intersect the vertex of the cone the resulting conic is called a degenerate conic.

Answer 11

The Degenerate Conics

Question 12

A ___ is formed if the plane intersects the two cones at the vertex and at an angle greater than the vertex angle.

Answer 12

Point

Question 13

A _____ is formed if the plane intersects the two cones at the vertex and at an angle equal to the vertex angle.

Answer 13

Line

Question 14

A _______ is formed if the plane intersects the two cones at the vertex and at an angle less than the vertex angle.

Answer 14

Intersecting Line

Question 15

A ____ is the set of all points on a plane equidistant from a fixed point on the given plane.

Answer 15

circle

Question 16

The fixed point is called the _____ of the circle and is denoted by C

Answer 16

center

Question 17

the fixed distance from the center to any point on the circle is called the _____ and is denoted by

Answer 17

radius