Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select the correct choice below and fill in the answer boxes to complete your choice. OA. The surface defined by the equation is a hyperboloid of one sheet centered at around the z-axis. In the xy-plane, the trace has length in the x-direction and length that has length and is centered in the y-direction. in the OB. The surface defined by the equation is an ellipsoid centered at ( x-direction, in the y-direction, and in the z-direction. C. The surface defined by the equation is a hyperboloid of two sheets centered at (5. -3,0) and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is 12. and whose traces in the D. The surface defined by the equation is an elliptic cone centered at xy-plane are ellipses.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Identify the surface defined by the following equation.
2
-2²-3² +² +
+ 10x - 6y=43
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. The surface defined by the equation is a hyperboloid of one sheet centered at (
around the z-axis. In the xy-plane, the trace has length in the x-direction and length
that has length
and is centered
in the y-direction.
in the
OB. The surface defined by the equation is an ellipsoid centered at (
in the y-direction, and in the z-direction.
x-direction,
C. The surface defined by the equation is a hyperboloid of two sheets centered at (5,-3,0) and whose traces
in the xy-plane are ellipses. The shortest distance between the two sheets is 12.
and whose traces in the
D. The surface defined by the equation is an elliptic cone centered at (
xy-plane are ellipses.
Transcribed Image Text:Identify the surface defined by the following equation. 2 -2²-3² +² + + 10x - 6y=43 Select the correct choice below and fill in the answer boxes to complete your choice. OA. The surface defined by the equation is a hyperboloid of one sheet centered at ( around the z-axis. In the xy-plane, the trace has length in the x-direction and length that has length and is centered in the y-direction. in the OB. The surface defined by the equation is an ellipsoid centered at ( in the y-direction, and in the z-direction. x-direction, C. The surface defined by the equation is a hyperboloid of two sheets centered at (5,-3,0) and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is 12. and whose traces in the D. The surface defined by the equation is an elliptic cone centered at ( xy-plane are ellipses.
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