(i) show that if the circle x^2 + y^2 + 2gx + 2fy + c = 0 touches the y- axis, then f^2 = c
(ii) using the result from part (i) find the equation of the circle which contains the points (2, 3) and (2, -5) and which touches the y axis.
i have done part (i) and gotten some of part (ii) but i need help finishing it please

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if you have part I done, the for the second part you have
\[x^2+y^2+2gx+2fy+f^2=0\]

i have subed the points in and got the 2 equations but now i'm not sure what to do ?

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