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Describe the Set of Points in 3-Space Defined by the Equations

Question 10

Multiple Choice

Describe the set of points in 3-space defined by the equations x2 + y2 + z2 - 8z = 9, x = 3.


A) a circle of radius 3 lying in the plane x = 3 and having centre at (3, 0, 4)
B) a circle of radius 3 lying in the plane x = 3 and having centre at (3, 0, -4)
C) a circle of radius 4 lying in the plane x = 3 and having centre at (3, 0, -4)
D) a circle of radius 4 lying in the plane x = 3 and having centre at (3, 0, 4)
E) a sphere of radius 5 having centre at (3, 0, 4)

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