Conic Sections and Circle Flashcards
(32 cards)
What is the equation formed by a second degree order?
Quadratic Equation
Quadratic Equation
Ax²+Bxy+Cy²+Dx+Ey+F=0
What do you call a set of curves formed from diving or cutting a right circular cone of two nappes?
Conic Section
also called as nappes
cones
different lines
generator
single point
vertex
where two nappes intersects?
vertex
Is the circular-shaped opening of the cones?
Surface Base
Is the line passing through the vertex and perpendicular to its nappes?
Axis
What do you call when a plane cuts only one of the circular cone nappes and it is parallel or facing the surface base of the right circular cone or it cuts all the generators?
Ellipse or Circle
What is the special type of Ellipse?
Circle
What do you call when the cutting plane parallel only to one generator and it is perpendicular to the base of the cone?
Parabola
What do you call when a plane cuts both nappes and it is parallel to two generators?
Hyperbola
B²-4AC < 0, B = 0 or A = C
Circle
B²-4AC < 0, B ≠ 0 or A ≠ C
Ellipse
B²-4AC = 0
Parabola
B²-4AC > 0
Hyperbola
What do you call when a plane intersects the double right cone and passes through the apex?
Degenerate Conics
What is the angle between generator and axis?
Vertex Angle
What is the perimeter of the base?
Directrix
Point:
Ellipse
Line:
Parabola
Two Intersecting Parallel Lines:
Hyperbola
What is the fixed point and the fixed distance?
Center Radius