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 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.