Pre-Calc Quiz 1

Question 1

3-dimensional shape formed by set of line segments connecting to a common point.

Answer 1

Cone

Question 2

The common point that the set of line segments of a cone connects at.

Answer 2

Apex or Vertex

Question 3

Distance from vertex of a cone to its flat base is the _____

Answer 3

Height of the cone

Question 4

Its ____ is the segment joining the vertex and the center of the circular base.

Answer 4

Axis

Question 5

Two types of cones

Answer 5

Right Circular Cone and Oblique Cone

Question 6

Cone which has a circular base and the axis is perpendicular with the base of the cone.

Answer 6

Right Circular Cone

Question 7

A cone of which the axis is not perpendicular with its base.

Answer 7

Oblique Cone

Question 8

Geometric figure made up of two right circular cones with a common vertex or apex.

Answer 8

Double Right Circular Cone

Question 9

Intersection of a plane and a double right circular cone.

Answer 9

Conic Section or Conic

Question 10

Line lying entirely on the cone.

Answer 10

Generator

Question 11

Where do all generators of a cone pass through

Answer 11

Vertex

Question 12

The only point where the two nappes of the DRCC intersect.

Answer 12

Vertex

Question 13

Two types of conics

Answer 13

Degenerate and Non-Degenerate

Question 14

A point, a line, or two intersecting line. Formed when a plane intersects DRCC passing the vertex.

Answer 14

Degenerate Conic

Question 15

This is a conic, either a parabola, an ellipse, or a hyperbola.

Answer 15

Non-Degenerate Conic

Question 16

If the cutting plane is parallel to one and only one generator, the curve of intersection is a _____

Answer 16

Parabola

Question 17

If the cutting plane is not parallel to any generator BECAUSE it cuts all generators, the curve of intersection is ________

Answer 17

Ellipse

Question 18

If the cutting plane is parallel to the base of the cone, the curve of intersection is _____

Answer 18

Circle

Question 19

If the cutting plane is parallel to two generators, the curve of intersection is ______

Answer 19

Hyperbola

Question 20

It is formed when the plane not passing through the vertex is horizontal.

Answer 20

Circle

Question 21

It is formed when the plane intersects only one cone to form an unbounded curve.

Answer 21

Parabola

Question 22

It is formed when the intersecting plane intersects only one cone to form a bounded curve.

Answer 22

Ellipse

Question 23

It is formed when the plane intersects both cones forming two unbounded curves.

Answer 23

Hyperbola

Question 24

This consists of all points that are at a fixed distance r from a fixed point C.

Answer 24

Circle

Question 25

What is the fixed distance r of a circle?

Answer 25

Radius

Question 26

What is the fixed point C of a circle?

Answer 26

Center

Question 27

Formula when the Center is at origin, or (0,0).

Answer 27

x^2 + y^2 = r^2

Question 28

What form is x^2 + y^2 = r^2?

Answer 28

Center-Radius Form Equation of a Circle with Center at (0,0)

Question 29

What is the equation x^2 + y^2 = 1 called?

Answer 29

Unit Circle

Question 30

What form is (x-h)^2 + (y-k)^2 = r^2

Answer 30

Center-Radius Form Equation of a Circle with Center at (h,k)