The circle C C\,C has centre (−2,3)(-2, 3)(−2,3) and passes through the point (1,8)(1, 8)(1,8).
Find an equation for CCC.
Show that the point (3,6)(3, 6)(3,6) lies on CCC.
Determine the tangent at (3,6)(3,6)(3,6) and present its equation with integer coefficients in the form ax+by+c=0ax+by+c=0ax+by+c=0.