The circle C, with centre at the point A, has equation x2 + y2 – 10x + 9 = 0. Find
(a) the coordinates of A, (2)
(b) the radius of C, (2)
(c) the coordinates of the points at which C crosses the x-axis. (2)
Given that the line l with gradient is a tangent to C, and that l touches C at the point T,
(d) find an equation of the line which passes through A and T. (3)