18
QuizMultiple Choice

Chapter 10 Part 1 Unit TEST: Circles

Question 18 • (OC27) GEO-1206310-S2-Degele-VOL7006P

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

Answer
A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²

Explanation

Complete the square in the given circle equation: x² − 8x + y² − 6y + 24 = 0 becomes (x − 4)² + (y − 3)² = 1. Its center is (4, 3). A circle with that center and radius 2 has equation (x − 4)² + (y − 3)² = 2², so the correct choice is C.

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