A circle C C\,C with centre (1,2)(1, 2)(1,2) passes through the point (−1,−1)(-1, -1)(−1,−1). A line L L\,L passes through the points (0,−3)(0, -3)(0,−3) and (6,1)(6, 1)(6,1).
Find an equation of C C\,C and an equation of LLL.
Hence 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.