4
QuizMultiple Choice

Equation of a Circle — Quiz

Question 4 • Geometry

What is the center of a circle represented by the equation open paren x plus 9 close paren squared plus open paren y minus 6 close paren squared is equal to 10 squared ?

Answer
A
negative 9 comma 6
B
negative 6 comma 9
C
9 comma negative 6
D
6 comma negative 9

Explanation

A circle in standard form is (x − h)² + (y − k)² = r², and its center is (h, k). Here, (x + 9)² = (x − (−9))² and the second term is (y − 6)², so the center is (−9, 6). This is choice B, negative 9 comma 6.

AI-written and checked against the verified answer.

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