A circle C C\,C with centre (1,1)(1, 1)(1,1) passes through the point (3,2)(3, 2)(3,2). A line L L\,L passes through the points (1,−4)(1, -4)(1,−4) and (4,2)(4, 2)(4,2).
Show that L L\,L is a tangent to CCC.
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.