The circle C C\,C has centre (1,5)(1, 5)(1,5) and passes through the point A(−4,3)A(-4, 3)A(−4,3).
Find an equation for CCC.
Find an equation for the tangent to C C\,C at AAA, giving 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.