Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 12 x - 6 y + 33 = 0$$

question 45

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 12 x - 6 y + 33 = 0$$

• A) \(( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12\)
• \(( 6,3 ) , r = 2 \sqrt { 3 }\)
• B) \(( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12\)
• \(( 6,3 ) , r = 12\)
• C) \(( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12\)
• \(( - 6 , - 3 ) , r = 2 \sqrt { 3 }\)
• D) \(( x + 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12\)
• \(( - 6 , - 3 ) , \mathrm { r } = 2 \sqrt { 3 }\) Graph the equation.

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