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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections
Enrich Your Math Word Power
For each mathematical term, choose the correct meaning.
1
nonlinear equation
A)
an equation that is not lined up
B)
an equation whose graph is a straight line
C)
an equation whose graph is not a straight line
D)
an exponential equation
2
parabola
A)
the points in a plane that are equidistant from a point and a line
B)
the points in a plane that are a fixed distance from a fixed point
C)
the points in a plane that are equidistant from two fixed points
D)
the points in a plane the sum of whose distances from two fixed points is a constant
3
directrix
A)
the line y = x
B)
the line of symmetry of a parabola
C)
the x-axis
D)
the fixed line in the definition of parabola
4
vertex of a parabola
A)
the midpoint of the line segment joining the focus and directrix perpendicular to the directrix
B)
the focus
C)
the x-intercept
D)
the endpoint
5
conic sections
A)
the two halves of a cone
B)
the vertex and focus
C)
the curves obtained at the intersection of a cone and a plane
D)
the asymptotes
6
axis of symmetry
A)
the x-axis
B)
the y-axis
C)
the directrix
D)
the line of symmetry of a parabola
7
circle
A)
the points in a plane that are equidistant from a point and a line
B)
the points in a plane that are a fixed distance from a fixed point
C)
the points in a plane that are equidistant from two fixed points
D)
the points in a plane the sum of whose distances from two fixed points is a constant
8
ellipse
A)
the points in a plane that are equidistant from a point and a line
B)
the points in a plane that are a fixed distance from a fixed point
C)
the points in a plane that are equidistant from two fixed points
D)
the points in a plane such that the sum of their distances from two fixed points is constant
9
hyperbola
A)
the points in a plane that are equidistant from a point and a line
B)
the points in a plane that are a fixed distance from a fixed point
C)
the points in a plane such that the difference of their distances from two fixed points is constant
D)
the points in a plane such that the sum of their distances from two fixed points is a constant
10
asymptotes
A)
lines approached by a hyperbola
B)
lines approached by parabolas
C)
tangent lines to a circle
D)
lines that pass through the vertices of an ellipse
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