The circle C C\,C has centre (8,k)(8, k)(8,k), where k k\,k is a constant. The line y=4x−7y = 4x - 7y=4x−7 is a tangent to the circle CCC, touching C C\,C at the point A(4,9)A(4, 9)A(4,9).
Find an equation for 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.