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The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. a plane passing through the point (3, 3, 3) O b. the empty set O c. the line x=y=Dz, which is the intersection of two planes O d. the point (-3, -3, -3) e. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3) O f. a union of two planes, both of which pass through (3, 3, 3)

The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. a plane passing through the point (3, 3, 3) O b. the empty set O c. the line x=y=Dz, which is the intersection of two planes O d. the point (-3, -3, -3) e. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3) O f. a union of two planes, both of which pass through (3, 3, 3)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. a plane passing through the point (3, 3, 3) O b. the empty set O c. the line x=Y3DZ, which is the intersection of two planes O d. the point (-3, -3, -3) e. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3) O f. a union of two planes, both of which pass through (3, 3, 3)
Transcribed Image Text:The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. a plane passing through the point (3, 3, 3) O b. the empty set O c. the line x=Y3DZ, which is the intersection of two planes O d. the point (-3, -3, -3) e. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3) O f. a union of two planes, both of which pass through (3, 3, 3)
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