Question

Which of the following circles have their centers in the second quadrant? Check all that apply.

A. (x - 5)2 + (y - 6)2 = 25
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y + 3)2 = 32
D. (x + 2)2 + (y - 5)2 = 9

Answer 1

b and d

Explanation:

Answer 2

Remember that the circle formula is (x – h)2 + (y – k)2 = r2 where h and k represents the center of the circle. We determine as follows:

A. (x - 5)2 + (y - 6)2 = 25
(h,k) = 5,6 QUADRANT 1

B. (x + 1)2 + (y - 7)2 = 16
(h,k) = -1,7 QUADRANT 2

C. (x - 4)2 + (y + 3)2 = 32
(h,k) = 4,-3 QUADRANT 4

D. (x + 2)2 + (y - 5)2 = 9
(h,k) = -2,5 QUADRANT 2