Find the Standard Equation of a Sphere That Has Diameter $( 3 , - 2,4 ) , ( 7,12,4 )$

question 80

Multiple Choice

Find the standard equation of a sphere that has diameter with the end points given below. $( 3 , - 2,4 ) , ( 7,12,4 )$

• A) \(( x - 5 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 53\)
• B) \(( x - 5 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 9\)
• C) \(( x + 5 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 53\)
• D) \(( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 53\)
• E) \(( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 53\)

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