The line y=mx−2y = mx - 2y=mx−2 is a tangent to the circle x2+6x+y2−8y+5=0x^2 + 6x + y^2 - 8y + 5 = 0x2+6x+y2−8y+5=0.
Find the two possible values of mmm, giving your answers in exact form.
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.