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

I don't know what is it's answer

Answer 2

x² + (y – 3)² = 36

x² + (y + 8)² = 36

Explanation:

(x - h)² + (y - k)² = r²

Center on the y-axis means h = 0.

Diameter of 12 units means r = 6.

x² + (y – 3)² = 36 Yes

x² + (y – 5)² = 6 No

(x – 4)² + y² = 36 No

(x + 6)² + y² = 144 No

x² + (y + 8)² = 36 Yes