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.
37 exam-style questions on Edexcel AS 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.