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QuizMultiple Choice

Equation of a Circle — Quiz

Question 1 • Geometry

Which equations represent circles that have a diameter of 12 units and a center that lies on the y -axis? Choose two correct answers.

Answer
A
x squared plus open paren y plus 8 close paren squared is equal to 36
B
open paren x plus 6 close paren squared plus y squared is equal to 144
C
open paren x minus 4 close paren squared plus y squared is equal to 36
D
x squared plus open paren y minus 5 close paren squared is equal to 6
E
x squared plus open paren y minus 3 close paren squared is equal to 36

Explanation

A circle with diameter 12 has radius 6, so the squared-radius value in its equation must be 36. Its center lies on the y-axis when the x-coordinate of the center is 0. Choice C has center (0, 3) and squared radius 36, while choice E has center (0, −8) and squared radius 36. Both meet the conditions.

AI-written and checked against the verified answer.

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