Find the Equation of the Circle $x ^ { 2 } + y ^ { 2 } + D x + E y + F = 0$

question 51

Multiple Choice

Find the equation of the circle $x ^ { 2 } + y ^ { 2 } + D x + E y + F = 0$ that passes through the points $( 3,4 ) , ( 0,1 ) , ( 6,1 )$ .

• A) \(x ^ { 2 } + y ^ { 2 } - 6 x - 2 y + 1 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } - 3 x - y + 1 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 6 x - 2 y + 19 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } - 6 x - 2 y - 9 = 0\)
• E) \(x ^ { 2 } + y ^ { 2 } - 3 x - y - 9 = 0\)

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