A circle C C\,C with centre (2,−5)(2, -5)(2,−5) passes through the point (5,−5)(5, -5)(5,−5). A line L L\,L passes through the points (1,−2)(1, -2)(1,−2) and (9,4)(9, 4)(9,4).
Show that L L\,L is a tangent to CCC, and find, in exact form, the coordinates of the point of contact.
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.