The circle C C\,C has the equation x2+y2−6x−12y=0x^2 + y^2 - 6x - 12y = 0x2+y2−6x−12y=0. The line l l\,l is a tangent to C C\,C at the point (8,3)(8, 3)(8,3).
Find the equation of l l\,l in the form ax+by+c=0ax + by + c = 0ax+by+c=0.
Practise Edexcel AS Level Maths Circles with exam-style questions for AS Level Maths. 28 questions covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.