The line y=mx+2y=mx+2y=mx+2 is a tangent to the circle (x−5)2+(y+1)2=15(x-5)^2+(y+1)^2=15(x−5)2+(y+1)2=15.
Find the two possible values of mmm, giving your answers in exact form.
211 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.