Answered

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?

Verified Answer :

padawan

(x-h)^2 + (y-k)^2 = r^2


r=3

(x-h)^2 + (y-k)^2 = 3^2


the center lies on the y-axis --> h=0

x^2 + (y-k)^2 = 3^2 = 9


expand

x^2 + y^2 -2ky + k^2 = 9


x^2 + y^2 -2ky + (k^2 - 9) = 0

compare to general form

A=1 , B=1 and C =0

D= -2k and E=k^2 - 9

sofia50923

Answer:

Option  C is correct

Step-by-step explanation:

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

Related Questions