Question

The general form of the equation of a circle is ax2 by2 cx dy e = 0, where a = b 0. if the circle has a radius of 3 units and the center lies on the y-axis, which set of values of a, b, c, d, and e might correspond to the circle?

Answer 1

The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

The equation of a circle.

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

• 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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Complete Question:

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?