Hyperbola Flashcards
(12 cards)
is a set of all points in a plane such as the difference
of the distances of each point of the set from the two fixed points
is constant.
hyperbola
can also be defined as a curve with no
ends where the distance of any point from a fixed
point (the focus), and the fixed line (the directrix)
are always in the same ratio(e),
hyperbola
-point where the two asymptotes intersect or it can be defined as the intersection of the
transverse and conjugate axis.
Center
line passing through the foci and
joining the vertices
Transverse axis
the length of the line
segment between the vertices (2a)
Length of transverse axis
line segment which is
perpendicular bisector of the transverse axis with
length of 2b
Conjugate axis
endpoints of transverse axis
Vertices-
endpoints of conjugate axis
Co-Vertices-
-line segment joining the foci with the
length of 2c
Focal length
line segments passing through the foci
and perpendicular to the transverse axis with length of
Latera recta-
lines that pass through the center of the hyperbola and are asymptotic to the curves
Asymptotes-l