Find the Standard Form of the Equation of the Sphere $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 36$

question 123

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a diameter: (-7,0,0) , (-3,2,4)

• A) \(( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 36\)
• B) \(( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 18\)
• C) \(( x - 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z + 2 ) ^ { 2 } = 9\)
• D) \(( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 9\)
• E) \(( x + 5 ) ^ { 2 } - ( y - 1 ) ^ { 2 } - ( z - 2 ) ^ { 2 } = 9\)

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