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Find the Center and Radius of the Sphere x2+y2+z25x=0x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 5 x = 0

Question 52

Multiple Choice

Find the center and radius of the sphere. x2+y2+z25x=0x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 5 x = 0


A) Center: (52,0,0) \left( \frac { 5 } { 2 } , 0,0 \right) Radius: 52\frac { 5 } { 2 }
B) Center: (0,32,0) \left( 0 , \frac { 3 } { 2 } , 0 \right) Radius: 32\frac { 3 } { 2 }
C) Center: (0,32,12) \left( 0 , \frac { 3 } { 2 } , \frac { 1 } { 2 } \right) Radius: 102\frac { \sqrt { 10 } } { 2 }
D) Center: (12,0,0) \left( \frac { 1 } { 2 } , 0,0 \right) Radius: 12\frac { 1 } { 2 }
E) Center: (52,0,1) \left( \frac { 5 } { 2 } , 0,1 \right) Radius: 292\frac { \sqrt { 29 } } { 2 }

Correct Answer:

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