6
QuizMultiple Choice

Equation of a Circle — Quiz

Question 6 • Geometry

What is the center of a circle whose equation is x squared plus y squared plus 4 x minus 8 y plus 11 is equal to 0 ?

Answer
A
4 comma negative 8
B
negative 4 comma 8
C
negative 2 comma 4
D
2 comma negative 4

Explanation

Group the x-terms and y-terms: (x² + 4x) + (y² − 8y) + 11 = 0. Completing the squares gives (x + 2)² + (y − 4)² = 9, which has center (−2, 4). So the correct choice is negative 2 comma 4.

AI-written and checked against the verified answer.

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