Question

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answer 1

x² + (y − 3)² = 36 and x² + (y + 8)² = 36

(Both have form x² + (y − k)² = 36, so radius 6 and center (0,3) or (0,−8) on the y-axis.)