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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

Sagot :

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

The standard form for finding the equation of a circle is expressed as;

[tex](x-a)^{2} + (y-b)^{2} = b = r^{2}[/tex]

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following

diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3).

Substituting into the formula, we will have[tex](x-0)^{2} + (y-3)^{2} = (6)^{2}[/tex]equivalent to x²+ (y-3)² = 36

Learn more about circle here;

https://brainly.com/question/24375372

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