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?

the options of the question are

a) a=0 B=0 C=2 D=2 E=3

b) A=1 B=1 C=8 D=0 E=9

c) A=1 B=1, C = 0, D = -8, and E = 7

d)  A = 1, B = 1, C = 8, D = 8, and E = 3

we know that

the equation of the circle in the form center-radius is equal to

in this problem we have

------> because the center lies on the y-axis

substitute

so

the answer is the option

c) a=1 b=1, C = 0, D = -8, and E = 7

goog may be able to you find that answer

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