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Find the Standard Equation of the Sphere with Center At (2,3,6) and tangent to the ( - 2,3,6 ) \text { and tangent to the }

Question 90

Multiple Choice

Find the standard equation of the sphere with center at (2,3,6)  and tangent to the ( - 2,3,6 ) \text { and tangent to the } yz-plane.


A) (x+2) 2+(y3) 2+(z6) 2=4( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 4
B) (x+2) 2+(y3) 2+(z6) 2=9( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 9
C) (x+2) 2+(y3) 2+(z6) 2=45( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 45
D) (x2) 2+(y+3) 2+(z+6) 2=4( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z + 6 ) ^ { 2 } = 4
E) (x2) 2+(y+3) 2+(z+6) 2=45( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z + 6 ) ^ { 2 } = 45

Correct Answer:

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