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Deck 61: Ellipses
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Question
Select the graph for following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices:
;Foci: 
A)
B)
C)
D)
E)
Vertices:
;Foci: A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
;major axis of length 12.
A)
B)
C)
D)
E)
Foci:
;major axis of length 12.
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices:
;Foci: 
A)
B)
C)
D)
E)
Vertices:
;Foci: A)
B)
C)
D)
E)
Question
Select the graph for following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the conic as a circle or an ellipse then find the center. 
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (3,2)
D)Ellipse Center: (3,2)
E)Circle Center: (2,3)
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (3,2)
D)Ellipse Center: (3,2)
E)Circle Center: (2,3)
Question
Find the Foci of the conic. 
A)Foci:
B)Foci:
C)Foci:
D)Foci:
E)Foci:
A)Foci:
B)Foci:
C)Foci:
D)Foci:
E)Foci:
Question
Find the vertices of the conic. 
A)Vertices:
B)Vertices:
C)Vertices:
D)Vertices:
E)Vertices:
A)Vertices:
B)Vertices:
C)Vertices:
D)Vertices:
E)Vertices:
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Vertices:
;minor axis of length 10.
A)
B)
C)
D)
E)
Vertices:
;minor axis of length 10.
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Center:
;a = 3b;Foci: 
,where a - thr semimajor axis,b - semiminor axis.
A)
B)
C)
D)
E)
Center:
;a = 3b;Foci: ,where a - thr semimajor axis,b - semiminor axis.
A)
B)
C)
D)
E)
Question
Select the graph for following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertical major axis passes through the points
.
A)
B)
C)
D)
E)
Vertical major axis passes through the points
.
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
;major axis of length 10.
A)
B)
C)
D)
E)
Foci:
;major axis of length 10.
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci:
;major axis of length 12
A)
B)
C)
D)
E)
Foci:
;major axis of length 12
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci:
;major axis of length 18
A)
B)
C)
D)
E)
Foci:
;major axis of length 18
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Center:
;a = 2c;Vertices: 
,where a - thr semimajor axis,b - semiminor axis and 
.
A)
B)
C)
D)
E)
Center:
;a = 2c;Vertices: ,where a - thr semimajor axis,b - semiminor axis and .
A)
B)
C)
D)
E)
Question
Select the graph for following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph for following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the Eccentricity of the conic. 
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The first artificial satellite to orbit Earth was Sputnik I (launched by the former Soviet Union in 1957).Its highest point above Earths surface was 943 kilometers,and its lowest point was 211 kilometers (see figure).The center of Earth was at one focus of the elliptical orbit,and the radius of Earth is 6392 kilometers.Find the eccentricity of the orbit.Round your results to four decimal place. 
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Center:
,a = 5c,foci: 
,where a - thr semimajor axis,b - semiminor axis and 
.
A)
B)
C)
D)
E)
Center:
,a = 5c,foci: ,where a - thr semimajor axis,b - semiminor axis and .A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the following characteristics.
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
Question
Find the center and radius of the conic. 
A)Center:
Radius: 
B)Center:
Radius: 
C)Center: (0,0) Radius:
D)Center:
Radius: 
E)Center:
Radius: 
A)Center:
Radius: B)Center:
Radius: C)Center: (0,0) Radius:
D)Center:
Radius: E)Center:
Radius: Question
Find the standard form of the equation of the ellipse with the following characteristics.
Foci:
,major axis of length: 22
A)
B)
C)
D)
E)
Foci:
,major axis of length: 22
A)
B)
C)
D)
E)
Question
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 54 feet and a height at the center of 12 feet.Find an equation of the semielliptical arch.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
,endpoints of the major axis: 
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
Question
Find the center and foci of the ellipse. 
A)center:
foci: 
B)center:
foci: 
C)center:
foci: 
D)center:
foci: 
E)center:
foci: 
A)center:
foci: B)center:
foci: C)center:
foci: D)center:
foci: E)center:
foci: Question
An elliptical stained-glass insert is to be fitted in a 6ft by 4 ft rectangular opening (see figure).Using the coordinate system shown,find an equation for the ellipse. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph of the conic. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the conic as a circle or an ellipse then find the center. 
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (7,0)
D)Ellipse Center: (0,7)
E)Circle Center: (7,7)
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (7,0)
D)Ellipse Center: (0,7)
E)Circle Center: (7,7)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
vertices: (-1,-11), (-1,7),minor axis of length 2
A)
B)
C)
D)
E)
vertices: (-1,-11), (-1,7),minor axis of length 2
A)
B)
C)
D)
E)
Question
Find the eccentricity of the ellipse. 
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
Question
Identify the conic as a circle or an ellipse. 
A)Circle
B)Ellipse
A)Circle
B)Ellipse
Question
Find the center and vertices of the ellipse. 
A)center: (8,6)vertices: (-8,-6), (8,6)
B)center: (0,0)vertices: (0,-8), (0,8)
C)center: (0,0)vertices: (-8,0), (8,0)
D)center: (8,0)vertices: (0,-6), (0,6)
E)center: (0,0)vertices: (-6,0), (6,0)
A)center: (8,6)vertices: (-8,-6), (8,6)
B)center: (0,0)vertices: (0,-8), (0,8)
C)center: (0,0)vertices: (-8,0), (8,0)
D)center: (8,0)vertices: (0,-6), (0,6)
E)center: (0,0)vertices: (-6,0), (6,0)
Question
Match the equation with its graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
,endpoints of the major axis: 
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
Question
Find an equation of the ellipse with vertices 
and eccentricity 
.
A)
B)
C)
D)
E)
and eccentricity . A)
B)
C)
D)
E)
Question
Identify the conic by writing the equation in standard form. 
A)
;ellipse
B)
;hyperbola
C)
;hyperbola
D)
;hyperbola
E)
;ellipse
A)
;ellipseB)
;hyperbolaC)
;hyperbolaD)
;hyperbolaE)
;ellipse Question
Identify the conic as a circle or an ellipse then find the radius for circle or center for ellipse. 
A)Ellipse Center:
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius:
E)None of the above
A)Ellipse Center:
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius:
E)None of the above
Question
Identify the graph of the following ellipse. 
A)
B)
C)
A)
B)
C)
Question
Find the center and vertices of the ellipse. 
A)center:
vertices: 
B)center:
vertices: 
C)center:
vertices: 
D)center:
vertices: 
E)center:
vertices: 
A)center:
vertices: B)center:
vertices: C)center:
vertices: D)center:
vertices: E)center:
vertices: Question
Write the equation of the ellipse that has its center at the origin with focus at (0,1)and vertex at (0,11).
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Question
Write the equation of the ellipse that has its center at the origin,focus at (1,0)and vertex at (9,0).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with vertices 
and eccentricity 
.
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
Question
Find the center and foci of the ellipse. 
A)center:
;foci: 
B)center:
;foci: 
C)center:
;foci: 
D)center:
;foci: 
E)center:
;foci: 
A)center:
;foci: B)center:
;foci: C)center:
;foci: D)center:
;foci: E)center:
;foci: Question
Find the standard form of the equation of the ellipse with vertices 
and eccentricity 
.
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
Question
Find the center and vertices of the ellipse. 
A)center: (-8,9),vertices: (-10,9), (-6,9)
B)center: (9,-8),vertices: (7,-8), (11,-8)
C)center: (-9,8),vertices: (-10,8), (-8,8)
D)center: (-9,8),vertices: (-11,8), (-7,8)
E)center: (9,-8),vertices: (8,-8), (10,-8)
A)center: (-8,9),vertices: (-10,9), (-6,9)
B)center: (9,-8),vertices: (7,-8), (11,-8)
C)center: (-9,8),vertices: (-10,8), (-8,8)
D)center: (-9,8),vertices: (-11,8), (-7,8)
E)center: (9,-8),vertices: (8,-8), (10,-8)
Question
Find the standard form of the equation of the ellipse with vertices 
and eccentricity 
.
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
Question
Find the center and vertices of the ellipse. 
A)center:
;vertices: 
B)center:
;vertices: 
C)center:
;vertices: 
D)center:
;vertices: 
E)center:
;vertices: 
A)center:
;vertices: B)center:
;vertices: C)center:
;vertices: D)center:
;vertices: E)center:
;vertices: Question
Identify the conic by writing the equation in standard form. 
A)
;ellipse
B)
;circle
C)
;ellipse
D)
;ellipse
E)
;ellipse
A)
;ellipseB)
;circleC)
;ellipseD)
;ellipseE)
;ellipse Question
Sketch the graph of the ellipse,using the latera recta. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the conic by writing the equation in standard form. 
A)
;ellipse
B)
;circle
C)
;circle
D)
;circle
E)
;ellipse
A)
;ellipseB)
;circleC)
;circleD)
;circleE)
;ellipse Question
Find the center and vertices of the ellipse. 
A)center: (9,6)vertices: (-9,-6), (9,6)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (9,0)vertices: (0,-6), (0,6)
D)center: (0,0)vertices: (-6,0), (6,0)
E)center: (0,0)vertices: (-9,0), (9,0)
A)center: (9,6)vertices: (-9,-6), (9,6)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (9,0)vertices: (0,-6), (0,6)
D)center: (0,0)vertices: (-6,0), (6,0)
E)center: (0,0)vertices: (-9,0), (9,0)
Question
Sketch the graph of the ellipse,using the latera recta. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
An elliptical stained-glass insert is to be fitted in a 4ft by 6ft rectangular opening (see figure). 
Using the coordinate system shown,find an equation for the ellipse.
A)
B)
C)
D)
E)
Using the coordinate system shown,find an equation for the ellipse. A)
B)
C)
D)
E)
Question
Find the center and vertices of the ellipse. 
A)center: (-1,3),vertices: (-3,3), (1,3)
B)center: (-3,1),vertices: (-4,1), (-2,1)
C)center: (3,-1),vertices: (2,-1), (4,-1)
D)center: (3,-1),vertices: (1,-1), (5,-1)
E)center: (-3,1),vertices: (-5,1), (-1,1)
A)center: (-1,3),vertices: (-3,3), (1,3)
B)center: (-3,1),vertices: (-4,1), (-2,1)
C)center: (3,-1),vertices: (2,-1), (4,-1)
D)center: (3,-1),vertices: (1,-1), (5,-1)
E)center: (-3,1),vertices: (-5,1), (-1,1)
Question
Find the center and foci of the ellipse. 
A)center: (-7,-2);foci: (-7,-5), (-7,1)
B)center: (7,2);foci: (-10,-2), (-4,-2)
C)center: (-7,-2);foci: (-10,2), (-4,2)
D)center: (7,2);foci: (7,-1), (7,5)
E)center: (7,2);foci: (4,2), (10,2)
A)center: (-7,-2);foci: (-7,-5), (-7,1)
B)center: (7,2);foci: (-10,-2), (-4,-2)
C)center: (-7,-2);foci: (-10,2), (-4,2)
D)center: (7,2);foci: (7,-1), (7,5)
E)center: (7,2);foci: (4,2), (10,2)
Question
Find the graph of the following ellipse. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the center and the vertices of the ellipse. 
A)center: (-9,9);vertices: (-1,-9), (1,9)
B)center: (0,0);vertices: (0,-9), (0,9)
C)center: (0,0);vertices: (-9,-1), (9,1)
D)center: (0,0);vertices: (-9,0), (9,0)
E)center: (-9,9);vertices: (-1,0), (1,0)
A)center: (-9,9);vertices: (-1,-9), (1,9)
B)center: (0,0);vertices: (0,-9), (0,9)
C)center: (0,0);vertices: (-9,-1), (9,1)
D)center: (0,0);vertices: (-9,0), (9,0)
E)center: (-9,9);vertices: (-1,0), (1,0)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
,endpoints of the major axis: 
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Foci:
,endpoints of the major axis: 
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
Question
Sketch the graph of the ellipse,using the latera recta. 
Question
Write the equation of the ellipse with foci at (2,2), (6,2),and b = 4,where b - semiminor axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics.
Vertices: (6,1), (6,17),minor axis of length 3
A)
B)
C)
D)
E)
Vertices: (6,1), (6,17),minor axis of length 3
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the following characteristics.
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the following characteristics.
Foci:
,major axis of length: 18
A)
B)
C)
D)
E)
Foci:
,major axis of length: 18
A)
B)
C)
D)
E)
Question
Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus.This property explains whispering galleries such as Statuary Hall in Washington,D.C.The whispering gallery shown in illustration has the shape of a semi-circle.Find the distance sound travels as it leaves focus F and returns to focus F'.Round your answer to one decimal place,if necessary. 
A)16 meters
B)16.8 meters
C)33.5 meters
D)32 meters
E)31.2 meters
A)16 meters
B)16.8 meters
C)33.5 meters
D)32 meters
E)31.2 meters
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Deck 61: Ellipses
1
Select the graph for following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: ;Foci:
A)
B)
C)
D)
E)
Vertices:
;Foci: A)
B)
C)
D)
E)
3
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ;major axis of length 12.
A)
B)
C)
D)
E)
Foci:
;major axis of length 12.
A)
B)
C)
D)
E)
4
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: ;Foci:
A)
B)
C)
D)
E)
Vertices:
;Foci: A)
B)
C)
D)
E)
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5
Select the graph for following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Identify the conic as a circle or an ellipse then find the center.
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (3,2)
D)Ellipse Center: (3,2)
E)Circle Center: (2,3)
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (3,2)
D)Ellipse Center: (3,2)
E)Circle Center: (2,3)
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7
Find the Foci of the conic.
A)Foci:
B)Foci:
C)Foci:
D)Foci:
E)Foci:
A)Foci:
B)Foci:
C)Foci:
D)Foci:
E)Foci:
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8
Find the vertices of the conic.
A)Vertices:
B)Vertices:
C)Vertices:
D)Vertices:
E)Vertices:
A)Vertices:
B)Vertices:
C)Vertices:
D)Vertices:
E)Vertices:
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9
Find the standard form of the equation of the ellipse with the given characteristics.
Vertices: ;minor axis of length 10.
A)
B)
C)
D)
E)
Vertices:
;minor axis of length 10.
A)
B)
C)
D)
E)
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10
Find the standard form of the equation of the ellipse with the given characteristics.
Center: ;a = 3b;Foci: ,where a - thr semimajor axis,b - semiminor axis.
A)
B)
C)
D)
E)
Center:
;a = 3b;Foci: ,where a - thr semimajor axis,b - semiminor axis.
A)
B)
C)
D)
E)
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11
Select the graph for following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertical major axis passes through the points .
A)
B)
C)
D)
E)
Vertical major axis passes through the points
.
A)
B)
C)
D)
E)
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13
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ;major axis of length 10.
A)
B)
C)
D)
E)
Foci:
;major axis of length 10.
A)
B)
C)
D)
E)
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14
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci: ;major axis of length 12
A)
B)
C)
D)
E)
Foci:
;major axis of length 12
A)
B)
C)
D)
E)
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15
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci: ;major axis of length 18
A)
B)
C)
D)
E)
Foci:
;major axis of length 18
A)
B)
C)
D)
E)
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16
Find the standard form of the equation of the ellipse with the given characteristics.
Center: ;a = 2c;Vertices: ,where a - thr semimajor axis,b - semiminor axis and .
A)
B)
C)
D)
E)
Center:
;a = 2c;Vertices: ,where a - thr semimajor axis,b - semiminor axis and .
A)
B)
C)
D)
E)
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17
Select the graph for following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Select the graph for following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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19
Find the Eccentricity of the conic.
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
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20
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
The first artificial satellite to orbit Earth was Sputnik I (launched by the former Soviet Union in 1957).Its highest point above Earths surface was 943 kilometers,and its lowest point was 211 kilometers (see figure).The center of Earth was at one focus of the elliptical orbit,and the radius of Earth is 6392 kilometers.Find the eccentricity of the orbit.Round your results to four decimal place.
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
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22
Find the standard form of the equation of the ellipse with the given characteristics.
Center: ,a = 5c,foci: ,where a - thr semimajor axis,b - semiminor axis and .
A)
B)
C)
D)
E)
Center:
,a = 5c,foci: ,where a - thr semimajor axis,b - semiminor axis and .A)
B)
C)
D)
E)
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23
Find the standard form of the equation of the ellipse with the following characteristics.
Foci: ,major axis of length: 16
A)
B)
C)
D)
E)
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
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24
Find the center and radius of the conic.
A)Center: Radius:
B)Center: Radius:
C)Center: (0,0) Radius:
D)Center: Radius:
E)Center: Radius:
A)Center:
Radius: B)Center:
Radius: C)Center: (0,0) Radius:
D)Center:
Radius: E)Center:
Radius: Unlock Deck
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25
Find the standard form of the equation of the ellipse with the following characteristics.
Foci: ,major axis of length: 22
A)
B)
C)
D)
E)
Foci:
,major axis of length: 22
A)
B)
C)
D)
E)
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26
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 54 feet and a height at the center of 12 feet.Find an equation of the semielliptical arch.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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27
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ,endpoints of the major axis:
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
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28
Find the center and foci of the ellipse.
A)center: foci:
B)center: foci:
C)center: foci:
D)center: foci:
E)center: foci:
A)center:
foci: B)center:
foci: C)center:
foci: D)center:
foci: E)center:
foci: Unlock Deck
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29
An elliptical stained-glass insert is to be fitted in a 6ft by 4 ft rectangular opening (see figure).Using the coordinate system shown,find an equation for the ellipse.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Select the graph of the conic.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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31
Identify the conic as a circle or an ellipse then find the center.
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (7,0)
D)Ellipse Center: (0,7)
E)Circle Center: (7,7)
A)Circle Center: (0,0)
B)Ellipse Center: (0,0)
C)Circle Center: (7,0)
D)Ellipse Center: (0,7)
E)Circle Center: (7,7)
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32
Find the standard form of the equation of the ellipse with the given characteristics.
vertices: (-1,-11), (-1,7),minor axis of length 2
A)
B)
C)
D)
E)
vertices: (-1,-11), (-1,7),minor axis of length 2
A)
B)
C)
D)
E)
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33
Find the eccentricity of the ellipse.
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
A)Eccentricity:
B)Eccentricity:
C)Eccentricity:
D)Eccentricity:
E)Eccentricity:
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34
Identify the conic as a circle or an ellipse.
A)Circle
B)Ellipse
A)Circle
B)Ellipse
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35
Find the center and vertices of the ellipse.
A)center: (8,6)vertices: (-8,-6), (8,6)
B)center: (0,0)vertices: (0,-8), (0,8)
C)center: (0,0)vertices: (-8,0), (8,0)
D)center: (8,0)vertices: (0,-6), (0,6)
E)center: (0,0)vertices: (-6,0), (6,0)
A)center: (8,6)vertices: (-8,-6), (8,6)
B)center: (0,0)vertices: (0,-8), (0,8)
C)center: (0,0)vertices: (-8,0), (8,0)
D)center: (8,0)vertices: (0,-6), (0,6)
E)center: (0,0)vertices: (-6,0), (6,0)
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36
Match the equation with its graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ,endpoints of the major axis:
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
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38
Find an equation of the ellipse with vertices and eccentricity .
A)
B)
C)
D)
E)
and eccentricity . A)
B)
C)
D)
E)
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39
Identify the conic by writing the equation in standard form.
A) ;ellipse
B) ;hyperbola
C) ;hyperbola
D) ;hyperbola
E) ;ellipse
A)
;ellipseB)
;hyperbolaC)
;hyperbolaD)
;hyperbolaE)
;ellipse Unlock Deck
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40
Identify the conic as a circle or an ellipse then find the radius for circle or center for ellipse.
A)Ellipse Center:
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius:
E)None of the above
A)Ellipse Center:
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius:
E)None of the above
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41
Identify the graph of the following ellipse.
A)
B)
C)
A)
B)
C)
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42
Find the center and vertices of the ellipse.
A)center: vertices:
B)center: vertices:
C)center: vertices:
D)center: vertices:
E)center: vertices:
A)center:
vertices: B)center:
vertices: C)center:
vertices: D)center:
vertices: E)center:
vertices: Unlock Deck
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43
Write the equation of the ellipse that has its center at the origin with focus at (0,1)and vertex at (0,11).
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
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44
Write the equation of the ellipse that has its center at the origin,focus at (1,0)and vertex at (9,0).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Find the standard form of the equation of the ellipse with vertices and eccentricity .
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
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46
Find the center and foci of the ellipse.
A)center: ;foci:
B)center: ;foci:
C)center: ;foci:
D)center: ;foci:
E)center: ;foci:
A)center:
;foci: B)center:
;foci: C)center:
;foci: D)center:
;foci: E)center:
;foci: Unlock Deck
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47
Find the standard form of the equation of the ellipse with vertices and eccentricity .
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
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48
Find the center and vertices of the ellipse.
A)center: (-8,9),vertices: (-10,9), (-6,9)
B)center: (9,-8),vertices: (7,-8), (11,-8)
C)center: (-9,8),vertices: (-10,8), (-8,8)
D)center: (-9,8),vertices: (-11,8), (-7,8)
E)center: (9,-8),vertices: (8,-8), (10,-8)
A)center: (-8,9),vertices: (-10,9), (-6,9)
B)center: (9,-8),vertices: (7,-8), (11,-8)
C)center: (-9,8),vertices: (-10,8), (-8,8)
D)center: (-9,8),vertices: (-11,8), (-7,8)
E)center: (9,-8),vertices: (8,-8), (10,-8)
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49
Find the standard form of the equation of the ellipse with vertices and eccentricity .
A)
B)
C)
D)
E)
and eccentricity .A)
B)
C)
D)
E)
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50
Find the center and vertices of the ellipse.
A)center: ;vertices:
B)center: ;vertices:
C)center: ;vertices:
D)center: ;vertices:
E)center: ;vertices:
A)center:
;vertices: B)center:
;vertices: C)center:
;vertices: D)center:
;vertices: E)center:
;vertices: Unlock Deck
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51
Identify the conic by writing the equation in standard form.
A) ;ellipse
B) ;circle
C) ;ellipse
D) ;ellipse
E) ;ellipse
A)
;ellipseB)
;circleC)
;ellipseD)
;ellipseE)
;ellipse Unlock Deck
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52
Sketch the graph of the ellipse,using the latera recta.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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53
Identify the conic by writing the equation in standard form.
A) ;ellipse
B) ;circle
C) ;circle
D) ;circle
E) ;ellipse
A)
;ellipseB)
;circleC)
;circleD)
;circleE)
;ellipse Unlock Deck
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54
Find the center and vertices of the ellipse.
A)center: (9,6)vertices: (-9,-6), (9,6)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (9,0)vertices: (0,-6), (0,6)
D)center: (0,0)vertices: (-6,0), (6,0)
E)center: (0,0)vertices: (-9,0), (9,0)
A)center: (9,6)vertices: (-9,-6), (9,6)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (9,0)vertices: (0,-6), (0,6)
D)center: (0,0)vertices: (-6,0), (6,0)
E)center: (0,0)vertices: (-9,0), (9,0)
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55
Sketch the graph of the ellipse,using the latera recta.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
An elliptical stained-glass insert is to be fitted in a 4ft by 6ft rectangular opening (see figure). Using the coordinate system shown,find an equation for the ellipse.
A)
B)
C)
D)
E)
Using the coordinate system shown,find an equation for the ellipse. A)
B)
C)
D)
E)
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57
Find the center and vertices of the ellipse.
A)center: (-1,3),vertices: (-3,3), (1,3)
B)center: (-3,1),vertices: (-4,1), (-2,1)
C)center: (3,-1),vertices: (2,-1), (4,-1)
D)center: (3,-1),vertices: (1,-1), (5,-1)
E)center: (-3,1),vertices: (-5,1), (-1,1)
A)center: (-1,3),vertices: (-3,3), (1,3)
B)center: (-3,1),vertices: (-4,1), (-2,1)
C)center: (3,-1),vertices: (2,-1), (4,-1)
D)center: (3,-1),vertices: (1,-1), (5,-1)
E)center: (-3,1),vertices: (-5,1), (-1,1)
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58
Find the center and foci of the ellipse.
A)center: (-7,-2);foci: (-7,-5), (-7,1)
B)center: (7,2);foci: (-10,-2), (-4,-2)
C)center: (-7,-2);foci: (-10,2), (-4,2)
D)center: (7,2);foci: (7,-1), (7,5)
E)center: (7,2);foci: (4,2), (10,2)
A)center: (-7,-2);foci: (-7,-5), (-7,1)
B)center: (7,2);foci: (-10,-2), (-4,-2)
C)center: (-7,-2);foci: (-10,2), (-4,2)
D)center: (7,2);foci: (7,-1), (7,5)
E)center: (7,2);foci: (4,2), (10,2)
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59
Find the graph of the following ellipse.
A)
B)
C)
D)
A)
B)
C)
D)
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60
Find the center and the vertices of the ellipse.
A)center: (-9,9);vertices: (-1,-9), (1,9)
B)center: (0,0);vertices: (0,-9), (0,9)
C)center: (0,0);vertices: (-9,-1), (9,1)
D)center: (0,0);vertices: (-9,0), (9,0)
E)center: (-9,9);vertices: (-1,0), (1,0)
A)center: (-9,9);vertices: (-1,-9), (1,9)
B)center: (0,0);vertices: (0,-9), (0,9)
C)center: (0,0);vertices: (-9,-1), (9,1)
D)center: (0,0);vertices: (-9,0), (9,0)
E)center: (-9,9);vertices: (-1,0), (1,0)
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61
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ,endpoints of the major axis:
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
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62
Find the standard form of the equation of the ellipse with the given characteristics.
Foci: ,endpoints of the major axis:
A)
B)
C)
D)
E)
Foci:
,endpoints of the major axis: A)
B)
C)
D)
E)
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63
Sketch the graph of the ellipse,using the latera recta.
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64
Write the equation of the ellipse with foci at (2,2), (6,2),and b = 4,where b - semiminor axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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65
Find the standard form of the equation of the ellipse with the given characteristics.
Vertices: (6,1), (6,17),minor axis of length 3
A)
B)
C)
D)
E)
Vertices: (6,1), (6,17),minor axis of length 3
A)
B)
C)
D)
E)
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66
Find the standard form of the equation of the ellipse with the following characteristics.
Foci: ,major axis of length: 16
A)
B)
C)
D)
E)
Foci:
,major axis of length: 16
A)
B)
C)
D)
E)
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67
Find the standard form of the equation of the ellipse with the following characteristics.
Foci: ,major axis of length: 18
A)
B)
C)
D)
E)
Foci:
,major axis of length: 18
A)
B)
C)
D)
E)
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68
Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus.This property explains whispering galleries such as Statuary Hall in Washington,D.C.The whispering gallery shown in illustration has the shape of a semi-circle.Find the distance sound travels as it leaves focus F and returns to focus F'.Round your answer to one decimal place,if necessary.
A)16 meters
B)16.8 meters
C)33.5 meters
D)32 meters
E)31.2 meters
A)16 meters
B)16.8 meters
C)33.5 meters
D)32 meters
E)31.2 meters
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Unlock Deck
Unlock for access to all 68 flashcards in this deck.
