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AFM Conics
These are flashcards made to help review for conic tests.
8
Mathematics
11th Grade
03/11/2008

Additional Mathematics Flashcards

 


 

Cards

Term

Define: Circle

How is it formed? 

Definition

Set of all points in a plane that are the same distance (radius) from a fixed point (center) 

 

Formed by slicing a right circular cone parallel to the base. 

Term

Define Ellipse

 

How is it formed? 

Definition

Set of all points in a plane whose sum of distances from two points (foci) is constant.

 

Formed by slicing a right circular cone not parallel to the base. 

Term

Define: Hyperbola

 

How is it formed?

Definition

Set of all points in a plane such that the difference of the distances from the foci in the plane is constant.

 

Formed by slicing a right circular cone perpendicular to the base 

Term

Define Parabola

 

How is it formed?

Definition

Set of all points in a plane such that it is equidistant from the focus and directrix

 

Formed by slicing a right circular cone parallel to the sides of the cone. 

Term

State the standard form of the equation with the center point h,k -

 

 Circle

Definition
(x-h)^2 + (y-k)^2 = r^2
Term

State the standard form of the equation with the center point h,k -

 

 Ellipse

Definition

(x-h)^2 + (y-k)^2 = 1

_______     _______

a^2            b^2 

                

 

(y-k)^2 + (x-h)^2 = 1

_______     _______

a^2            b^2

 

Term

State the standard form of the equation with the center h,k for a

 

 

Hyperbola

Definition

    (x-h)^2 - (y-k)^2 = 1

    _______       _______

    a^2             b^2

Term

State the standard form of the equation with the center h,k for a

 

 

Parabola 

Definition

(x-h)^2 = +(-)4P(y-k)

 

 

or

 

 

(y-k)^2 = +(-)4P(x-h)
 

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