The circle C C\,C has centre (−2,3)(-2, 3)(−2,3) and passes through point (1,8)(1, 8)(1,8).
Find an equation for CCC.
Show that the point (3,6)(3, 6)(3,6) lies on CCC.
Find the equation to the tangent to C C\,C at (3,6)(3, 6)(3,6). 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.
37 exam-style questions on Edexcel AS 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.