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The geometric object in 3-space represented by the equation (x + y +z)^2 = 36 is a. the empty set O b. the point (-2, -2, -2) O c. a plane passing through the point (2, 2, 2) O d. a union of two planes, one of which passes through (2, 2, 2) and the other passes through (-2, -2, -2) O e. a union of two planes, both of which pass through (2, 2, 2) е. а f. the line x=y=z, which is the intersection of two planes

The geometric object in 3-space represented by the equation (x + y +z)^2 = 36 is a. the empty set O b. the point (-2, -2, -2) O c. a plane passing through the point (2, 2, 2) O d. a union of two planes, one of which passes through (2, 2, 2) and the other passes through (-2, -2, -2) O e. a union of two planes, both of which pass through (2, 2, 2) е. а f. the line x=y=z, which is the intersection of two planes

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 61E
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The geometric object in 3-space represented by the equation (x + y +z)^2 = 36 is a. the empty set O b. the point (-2, -2, -2) O c. a plane passing through the point (2, 2, 2) O d. a union of two planes, one of which passes through (2, 2, 2) and the other passes through (-2, -2, -2) O e. a union of two planes, both of which pass through (2, 2, 2) f. the line x=y=z, which is the intersection of two planes
Transcribed Image Text:The geometric object in 3-space represented by the equation (x + y +z)^2 = 36 is a. the empty set O b. the point (-2, -2, -2) O c. a plane passing through the point (2, 2, 2) O d. a union of two planes, one of which passes through (2, 2, 2) and the other passes through (-2, -2, -2) O e. a union of two planes, both of which pass through (2, 2, 2) f. the line x=y=z, which is the intersection of two planes
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