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?

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

option: C

Step-by-step explanation:

The general form of a equation of a circle is given as:

; We are given that A=B and the radius of circle is 3 units also the centre lies on y-axis.

now we consider option 3

on putting the values of A,B,C,D and E in equation of circle we get

Hence, the given properties are satisfied.

Hence, option C is correct.

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