[Prelim] Xy Calculus Flashcards
1
Q
Curves formed by the intersection of a plane and a double napped circular cone
A
CONIC SECTIONS
2
Q
A line perpendicular to the base of the double right circular cone
A
AXIS
3
Q
A line lying entirely on the cone.
A
GENERATOR
4
Q
Point of intersection of the two cones.
A
VERTEX
5
Q
The plane is perpendicular to the axis.
A
CIRCLE
6
Q
The plane intersects only one cone; parallel to only one generator
A
PARABOLA
7
Q
- Formed when the plane is not perpendicular to the axis and is not parallel to any generator or is oblique to the coneβs axis
- Slightly tilted
A
Ellipse
8
Q
The plane cuts both halves of the cone or intersects both cones and is parallel to two generators
A
Hyperbola
9
Q
- Plane cuts the double right circular cone through the vertex only
- degenerate ellipse / circle
A
Point
10
Q
- The cutting plane is parallel to one generator and passes through the vertex.
- degenerate parabola
A
Single Line
11
Q
- The cutting plane is parallel to two generators, cut both halves of the cone, and passes through the vertex
- degenerate hyperbola
A
PAIR OF INTERSECTING LINES
12
Q
Itβs a _______________ if it passes through the vortex
A
Degenerate Conic
13
Q
- A simple evaluation of an expression
- easily provide information on the type of conic section
A
DISCRIMINANT
14
Q
set of coplanar points such that the distance from a fixed point is constant.
A
Circles
15
Q
Fixed point on a circle
A
Center
