The circle C C\,C has centre (−2,3)(-2, 3)(−2,3) and passes through 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.
Find the equation to the tangent to C C\,C at (3,6)(3, 6)(3,6). Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.