PRECal Flashcards
Formed by plane intersecting a cone at an angle at its base. Special type of circle
Ellipse
Midpoint of ellipse
Center
Two fixed points of ellipse
Focus ( foci )
Longest distance that passes through focus
Major axis
Endpoints of Major axis
Vertices
Perpendicular to major axis
Minor axis
endpoints of minor axis
Co - Vertices
A chord dashing through focus
Latera Recta
A line outside ellipse
directrix
Ax2 + By2 - C = 0
Ellipse gen form
x2/a2 + y2/b2 = 1
standard ellipse 0,0 horizontal
x2 / b2 + y2/a2 = 1
standard ellipse 0,0 vertical
(x - h )2/a2 + (y-h)2/b2
standard ellipse h,k horizontal
(x-h )2/b2 + (y-h)2/a2 = 1
standard ellipse h,k vertical
formed because of intersection of plane perpendicular
Hyperbola
Power plant : heat control, strong, cost effective
Example of hyperbola
To the left/ to the right
horizontal
downward / upward
vertical
intersection of 2 axis of symmetry
center
fixed point on the graph
focus
endpoints of transverse axis
vertices
line segment connecting vertices
transverse axis
endpoints of conjugate axis
covertices
line segment perpendicular to transverse
conjugate axis
two slant lines intersecting at center
Asymptote
has sides 2a and 2b with diagonals
central rectangle
ax2 -cx2 + dx+ey+f = 0
Gen form horizontal
cx2 - ax2 + dx+ey+f = 0
gen form vertical
y at K nagpapalit
standard hyperbola
