The circle C C\,C has centre (1,−4)(1, -4)(1,−4) and passes through point (5,2)(5, 2)(5,2).
Find an equation for CCC.
Show that the point (7,0)(7, 0)(7,0) lies on CCC.
Find an equation of the tangent to C C\,C at (7,0)(7, 0)(7,0). 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.