1. It is formed when the plane intersects only one cone to form an unbounded curve. It is also a set points in a plane equidistant from a fixed point. b. Parabola a. Circle c. Elipse d. Hyperbola _2. It is formed when the plane is horizontal. b. Parabola c. Ellipse d. Hyperbola a. Circle 3. It is an intersection of a right cone and a plane. These are particular class of curves which often times appear in nature. c. Ellipse 4. It is formed when the tilted plane intersects only one cone to form an unbounded curve. c. Ellipse 5. It is formed when the plane intersects both cones to form two unbounded curves. c. Ellipse _6. Which of the following is the graph of the equation (x - 1)2 + (y + 2)? = 9? c. Ellipse a. Conic Section b. Circle d. Hyperbola а. Circle b. Parabola d. Нурerbola а. Circle b. Parabola d. Hyperbola a. Circle b. Parabola d. Hyperbola

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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CONTENT DISCUSSION SIS STNT.2 =
The conic sections or conics are the 2nioq doue ls to noitoslloo oIT
OL B(E' 2) HO C !? BC - 1(e - 3), + (2
nondegenerate curves generated by the intersections
of a plane with one or two nappes of a cone. For a
plane perpendicular to the axis of the cone, a circle
is produced. For a plane that is not perpendicular to
the axis and that intersects only a single nappe, the
curve produced is either an ellipse or a parabola
(Hilbert and Cohn-Vossen 1999, p. 8). The curve
produced by a plane intersecting both nappes is a
hyperbola (Hilbert and Cohn-Vossen 1999, pp. 8-9).
Circle
Ellipse
Parabola
Нуperbola
There are other ways for a plane and the
cones to intersect, to form what are referred to as
degenerate conics : a point, one line, and two
lines. See Figures 1.1, 1.2 and 1.3.
Source: ellipsesconicsections, weebly.com
s bolleo ai Ɔ moit sonsteib omsa di gaivsd ainio Ns to to2 T inioq novig s od tsl
aloniə sdi no 4 inioq s o odt moil inemge I oi bazu rtod a dT
can be rew
an
xx inioq A< uibstns ( 1onso ileib aolorioS STori8.1io92
viaitse bluorie 251Rmi arit imioq donfie 1 li ylnotbr oi sdi no ai
gaiwollot
we can
in bo
and sqa
Figure 1.1(Point)
1= *( Figure 1.2(Line *)▼ Figure 1.3(Intersecting Lines)
Transcribed Image Text:CONTENT DISCUSSION SIS STNT.2 = The conic sections or conics are the 2nioq doue ls to noitoslloo oIT OL B(E' 2) HO C !? BC - 1(e - 3), + (2 nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. For a plane perpendicular to the axis of the cone, a circle is produced. For a plane that is not perpendicular to the axis and that intersects only a single nappe, the curve produced is either an ellipse or a parabola (Hilbert and Cohn-Vossen 1999, p. 8). The curve produced by a plane intersecting both nappes is a hyperbola (Hilbert and Cohn-Vossen 1999, pp. 8-9). Circle Ellipse Parabola Нуperbola There are other ways for a plane and the cones to intersect, to form what are referred to as degenerate conics : a point, one line, and two lines. See Figures 1.1, 1.2 and 1.3. Source: ellipsesconicsections, weebly.com s bolleo ai Ɔ moit sonsteib omsa di gaivsd ainio Ns to to2 T inioq novig s od tsl aloniə sdi no 4 inioq s o odt moil inemge I oi bazu rtod a dT can be rew an xx inioq A< uibstns ( 1onso ileib aolorioS STori8.1io92 viaitse bluorie 251Rmi arit imioq donfie 1 li ylnotbr oi sdi no ai gaiwollot we can in bo and sqa Figure 1.1(Point) 1= *( Figure 1.2(Line *)▼ Figure 1.3(Intersecting Lines)
1. It is formed when the plane intersects only one cone to form an unbounded curve. It is also a set points in a plane
equidistant from a fixed point.
a. Circle
_2. It is formed when the plane is horizontal.
а. Circle
3. It is an intersection of a right cone and a plane. These are particular class of curves which often times appear in
b. Parabola
c. Elipse
d. Hyperbola
b. Parabola
c. Ellipse
d. Hyperbola
nature.
c. Ellipse
4. It is formed when the tilted plane intersects only one cone to form an unbounded curve.
c. Ellipse
5. It is formed when the plane intersects both cones to form two unbounded curves.
c. Ellipse
_6. Which of the following is the graph of the equation (x - 1)2 + (y + 2)² = 9?
c. Ellipse
a. Conic Section
b. Circle
d. Hyperbola
а. Circle
b. Parabola
d. Нурerbola
а. Circle
b. Parabola
d. Hyperbola
a. Circle
b. Parabola
d. Hyperbola
Transcribed Image Text:1. It is formed when the plane intersects only one cone to form an unbounded curve. It is also a set points in a plane equidistant from a fixed point. a. Circle _2. It is formed when the plane is horizontal. а. Circle 3. It is an intersection of a right cone and a plane. These are particular class of curves which often times appear in b. Parabola c. Elipse d. Hyperbola b. Parabola c. Ellipse d. Hyperbola nature. c. Ellipse 4. It is formed when the tilted plane intersects only one cone to form an unbounded curve. c. Ellipse 5. It is formed when the plane intersects both cones to form two unbounded curves. c. Ellipse _6. Which of the following is the graph of the equation (x - 1)2 + (y + 2)² = 9? c. Ellipse a. Conic Section b. Circle d. Hyperbola а. Circle b. Parabola d. Нурerbola а. Circle b. Parabola d. Hyperbola a. Circle b. Parabola d. Hyperbola
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