Solve the Problem $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$

question 78

Multiple Choice

Solve the problem.
-Find the equation of the circle, written in the form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$ , passing through the points $( 12,2 ) , ( 7 , - 3 )$ , and $( 10,6 )$ .

• A) \(x ^ { 2 } + y ^ { 2 } + 14 x + 4 y + 28 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } - 14 x - 4 y + 17 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 7 x - 2 y + 28 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } - 14 x - 4 y + 28 = 0\)

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