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.
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.