A circle C C\,C has centre (4,−1)(4, -1)(4,−1) and radius kkk, where k>25k > 2\sqrt{5}k>25. A line L L\,L passes through the points (−2,1)(-2, 1)(−2,1) and (14,9)(14, 9)(14,9).
Find, in terms of kkk, the points of intersection of L L\,L and 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.