20 terms

Chapter 10 Conic Sections Vocab

STUDY
PLAY

Terms in this set (...)

Conic Sections
a plane figure formed by the intersection of a double right cone and a plane. examples include circles, ellipses, hyperbolas, and parabolas.
Circle
the set of points in a plane that are a fixed distance from a given point called the center of the circle.
Tangent
a line that is in the same plane as a circlce and intersects the circle at exactly one point.
Ellipse
the set of all points P in a plane such that the sum of the distances from P to two fixed points F and G, called the foci is constant.
Major Axis
the longer axisof an ellipse. the foci of the ellipse are located on the major axis, and its endpoints are the vertices of the ellipse.
Vertices of the Ellipse
the enpoints of the major axis of the ellipse.
Minor Axis
the shorter of axis of an ellipse. its endpoints are the co-vertices of the ellipse.
Co-Vertices of the Ellipse
the endpoints on the minor axis.
Hyperbola
the set of all points P in a plane such that the difference of the distances from P to two fixed points F and G called the foci, is a constant d=[PF - FG]
Foci ( of a hyperbola)
one of two fixed points F and G that are used to define a hyperbola. for every point P on the hyperbola PF - PG is constant.
Branches
one of the two symmetrical parts of the hyperbola.
Transverse Axis
the axis of symmetry of a hyperbola that contains the vertices and foci.
Vertices of a hyperbola
the endpoints of the transverse axis of the hyperbola
Conjugate Axis
the axis of symmetry of a hyperbola that seperates the two branches of the hyperbola.
Co-vertices of a hyperbola
the endpoints of the conjugate axis.
Focus (of a parabola)
a fixed point F used with a directrix to define a parabola.
Directrix
the fixed line used to define a parabola. every point on the parabola is equidistant from the directrix and a fixed point called the focus.
Nonlinear system of equations
a system in which at least one of the equations is not linear.
Foci of an Ellipsis
one of two fixed points F and G that are used to define a ellipse. for every point P on the ellipse. PF + PG is constant.
Vertex of a parabola
the highest or lowest point on the parabola.