The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.
<h3>The equation of a circle.</h3>
Mathematically, the general form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
<u>Where:</u>
- h and k represents the coordinates at the center.
- r is the radius of a circle.
Based on the information provided that the center of the circle lies on the y-axis, we have:
(h, k) = (0, 4)
Radius, r = 3 units.
Substituting the given parameters into the formula, we have;
(x - 0)² + (y - 4)² = 3²
x ² + y² - 8y + 16 = 9
x ² + y² - 8y + 7 = 0.
Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.
Read more on circle here: brainly.com/question/1615837
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<u>Complete Question:</u>
The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?
