Write the Equation in Standard Form to Find the Center $$x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0$$

question 353

Multiple Choice

Write the equation in standard form to find the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0$$

• A) \(( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;\) center \(( - 3 , - 7 )\), radius \(\sqrt { 21 }\)
• B) \(( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;\) center \(( - 3 , - 7 )\), radius 21
• C) \(( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;\) center \(( 3,7 )\), radius 21
• D) \(( x - 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 21 ;\) center \(( 3,7 )\), radius \(\sqrt { 21 }\)

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