Question

Which of the following circles have their centers in the third quadrant? Check all that apply. A.(x + 14)2 + (y - 14)2 = 84 B.(x + 9)2 + (y + 12)2 = 36 C.(x + 3)2 + (y - 6)2 = 44 D.(x + 16)2 + (y + 3)2 = 17

Answer 1

Answer: B and D is correct

Explanation:

Answer 2

The circles that have their centers in the third quadrant are choices B and D. The original formula of a circle is (x - h)² + (y - k)² = r² where h is the value of the abscissa, k is the value of the ordinate and r is the radius of the circle. h and k are the exact coordinate of the center of the circle. So,

B.(x + 9)² + (y + 12)² = 36
[x - (-9)]² + [y - (-12)]² = 6²
C(-9, -12)

D.(x + 16)² + ( y + 3)² = 17
[x - (-16)]² + [y - (-3)]² = √17
C(-16, -3)