The circle C C\,C has centre (2,k)(2, k)(2,k), where k k\,k is a constant. The line y=x+3y = x + 3y=x+3 is a tangent to the circle CCC, touching C C\,C at the point A(1,4)A(1, 4)A(1,4).
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.