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 AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 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.