Pre Flashcards
(26 cards)
Analytic geometry unifies together the concepts of geometry with
Algebra
Every point in the xy – coordinate system is associated with
. a pair of real nos.
The point where the horizontal axis meets the vertical axis is called
origin
The reference no lines in the Cartesian Plane are called
coordinate axes
In the ordered pair ( -1, 2 ), the abscissa is
-1
The point ( 5, - 2 ) is located in which quadrant?
IV
Which of the following points is found on the y – axis?
A. ( 1, -2 )B. ( 0, -2 )C. ( -2, 0 )D. ( -2, - 2 )
B
A line that crosses the y – axis has
Y-intercept
If the plane cuts one nappe perpendicular to the cone axis, the figure formed is
circle
If the plane cuts one nappe at an angle with the cone axis, the resulting figure is
Ellipse
If the plane cuts one nappe parallel to the side of a cone, the figure formed is
parabola
If the plane intersects both nappes and is parallel to the cone axis, the figure is
Hyperbola
It is define as the set of all points in the plane whose distance from a fixed point is constant.
circle
. The fixed point in the circle is called
center
The distance from the center of a circle is called
Radius
It is defined as the set of all points in a plane equidistant from a fixed point and the fixed line.
parabola
The fixed point in a given parabola is called
focus
The fixed line in a given parabola is called
directrix
In a given parabola, it is the midpoint of the perpendicular segment from the focus to the directrix.
vertex
It is a line that passes through the vertex and focus
axis of symmetry
t is the line segment through the focus perpendicular to the axis of symmetry whose length is 4c
latus rectum
It is a curve formed by a plane passing through a double – napped circular cone.
conics
3x2 + 3y2 – 12 = 0 standard form
2x2 + 4x – 5y + 7 = 0 Convert the following general form to standard form of a parabola
