The circle C C\,C has centre (1,2)(1, 2)(1,2) and passes through point (2,3)(2, 3)(2,3).
Find an equation for CCC.
Show that the point (0,3)(0, 3)(0,3) lies on CCC.
Find the equation to the tangent to C C\,C at (0,3)(0, 3)(0,3). Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.
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.