The circles that have their centers in the second quadrant are; Options B and D
<h3>How to identify circle equations?</h3>
The general form of equation of a circle is;
( x - h )² + ( y - k )² = r²
where (h, k) is the center and r is the radius.
Thus;
A. (x - 5)² + (y - 6)² = 25
(h, k) = 5,6 This is Quadrant 1
B. (x + 1)² + (y - 7)² = 16
(h, k) = -1,7 This is Quadrant 2
C. (x - 4)² + (y + 3)²= 32
(h, k) = 4,-3 This is Quadrant 4
D. (x + 2)² + (y - 5)² = 9
(h, k) = -2,5
This is Quadrant 2
The missing circle equations are;
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
Read more about Circle Equations at; brainly.com/question/1559324
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