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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The geometric object in 3-space represented by the equation
(x +y +z)^2 = 81
is
O a. the line x-Dy%3Dz, which is the intersection of two planes
b. the empty set
O c. a union of two planes, both of which pass through (3, 3, 3)
O d. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3)
O e. a plane passing through the point (3, 3, 3)
O f. the point (-3, -3, -3)
Transcribed Image Text:The geometric object in 3-space represented by the equation (x +y +z)^2 = 81 is O a. the line x-Dy%3Dz, which is the intersection of two planes b. the empty set O c. a union of two planes, both of which pass through (3, 3, 3) O d. a union of two planes, one of which passes through (3, 3, 3) and the other passes through (-3, -3, -3) O e. a plane passing through the point (3, 3, 3) O f. the point (-3, -3, -3)
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