The line y=mxy = mxy=mx is a tangent to the circle (x−6)2+(y+1)2=11(x - 6)^2 + (y + 1)^2 = 11(x−6)2+(y+1)2=11.
Find the two possible values of mmm, giving your answers in exact form.
292 exam-style questions on Edexcel A Level Maths Circles, 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. Each one has a worked solution and a mark scheme showing where the marks go.