Hi Guys !

I am currently stuck with this question :

A Circle and the curve y^2=kx have a common tangent at the point B. The Centre G of the circle lies on the Line AC. Find

i) The Coordinates of C

ii) equation of the circle

Whereby A = (1,-2) ; B = (4,4) and C = (9,6) and k = 4.

Need some guidance in this question !

Realli killing tons of my brain cells thinking about this question man !

Appreciate your help

Thanks !