Find an Equation of the Sphere with Center $( 7 , - 5,7 )$

question 42

Multiple Choice

Find an equation of the sphere with center $( 7 , - 5,7 )$ that touches the $x y$ -plane.

• A) \(( x + 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 49\)
• B) \(( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• C) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 40\)
• D) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• E) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 7\)

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