pre cal Flashcards
path of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed line.
Conic/Conic Section
The fixed point
focus
fixed line
directrix
constant ratio
eccentricity
when the tilted plane intersects one cone to form a bounded curve
ellipse
eccentricity is less than 1 or 0<e<1
ellipse
the plane intersects one cone to form an unbounded curve
Parabola
eccentricity is = 1
Parabola
when the plane intersects two cones to form two unbounded curves
hyperbola
eccentricity > 1
hyperbola
In parabola what is the line that does not contain the focus
directrix
the fixed point in the parabola
focus
a conic where the collection of points is equidistant from the fixed point and the fixed line
parabola
this line divides the parabola into two parts which are mirror images of each other
axis of symmetry
plural of focus
foci
points on the ellipse that is collinear with the center and the foci
vertices
the segment from one vertex to another, with the length of 2a
major axis
the segment through the ellipse perpendicular to the major axis
minor axis
Set of all points P who’s difference in the distance from the both foci forms a ___
Hyperbola
Set of all points P who’s sum of its distances from the the foci is constant forms a ____
Ellipse
In hyperbola the segment from one vertex to another is called the:
transverse axis
two lines passing through the center of the hyperbola that serves as a guide to graph it
asymptotes
a rectangle with sides 2a and 2b with the diagonals passing through the center of the hyperbola
auxiliary rectangle
the segment perpendicular to the transverse axis through the center with measure of 2b
conjugate axis
is a function whose domain is the set of positive integers
sequence
