Find the Standard Form of the Equation of the Sphere $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 66$

question 180

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a diameter: (-1,6,1) , (7,-4,-9)

• A) \(( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 66\)
• B) \(( x + 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 66\)
• C) \(( x - 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 264\)
• D) \(( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 132\)
• E) \(( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 66\)

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