8
QuizMultiple Choice

Equation of a Circle — Quiz

Question 8 • Geometry

What is the center of a circle whose equation is x squared plus y squared minus 12 x minus 2 y plus 12 is equal to 0 ?

Answer
A
negative 12 comma negative 2
B
6 comma 1
C
12 comma 2
D
negative 6 comma negative 1

Explanation

For a circle in standard form, the center is (h, k) in (x − h)² + (y − k)² = r². Completing the square gives (x − 6)² + (y − 1)² = 25, so the center is (6, 1). This matches choice A, 6 comma 1.

AI-written and checked against the verified answer.

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