A circle C C\,C with centre (0,2)(0, 2)(0,2) passes through the point (−3,4)(-3, 4)(−3,4). A line L L\,L passes through the points (1,7)(1, 7)(1,7) and (7,−2)(7, -2)(7,−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.