Find the Center and Radius of the Sphere $$3 x ^ { 2 } + 3 y ^ { 2 } + 3 z ^ { 2 } - 2 x + 2 y = 9$$

question 214

Multiple Choice

Find the center and radius of the sphere.
- $$3 x ^ { 2 } + 3 y ^ { 2 } + 3 z ^ { 2 } - 2 x + 2 y = 9$$

• A) \(\left( \frac { 1 } { 3 } , - \frac { 1 } { 3 } , 0 \right) , \mathrm { a } = \frac { \sqrt { 29 } } { 3 }\)
• B) \(\left( - \frac { 1 } { 9 } , \frac { 1 } { 9 } , 0 \right) , a = \frac { \sqrt { 29 } } { 9 }\)
• C) \(\left( - \frac { 1 } { 3 } , \frac { 1 } { 3 } , 0 \right) , a = \frac { 29 } { 9 }\)
• D) \(\left( - \frac { 1 } { 3 } , \frac { 1 } { 3 } , 0 \right) , \mathrm { a } = \frac { \sqrt { 29 } } { 3 }\)

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