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

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)