29
practice examMultiple Choice

Practice Exam

Question 29 • MASTER COURSE Geometry

Which equation represents the general form a circle with a center at negative 2 comma negative 3 and a diameter of 8 units?

Answer
A
x squared plus y squared plus 4 x plus 6 y minus 51 is equal to 0
B
x squared plus y squared minus 4 x minus 6 y minus 3 is equal to 0
C
x squared plus y squared plus 4 x plus 6 y minus 3 is equal to 0
D
x squared plus y squared minus 4 x minus 6 y minus 51 is equal to 0

Explanation

A circle with center (−2, −3) and radius 4 (half its 8-unit diameter) has equation (x + 2)² + (y + 3)² = 16. Expanding and collecting terms gives x² + y² + 4x + 6y − 3 = 0, which is choice D.

AI-written and checked against the verified answer.

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