The line y=mx+1y = mx + 1y=mx+1 is a tangent to the circle (x−3)2+(y+1)2=5(x - 3)^2 + (y + 1)^2 = 5(x−3)2+(y+1)2=5.
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.