A circle C C\,C with centre (2,1)(2, 1)(2,1) passes through the point (−1,3)(-1, 3)(−1,3). A line L L\,L passes through the points (1,−4)(1, -4)(1,−4) and (10,2)(10, 2)(10,2).
Show that L L\,L is a tangent to CCC.
Practise Edexcel AS Level Maths Circles with exam-style questions for AS Level Maths. 28 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.