The circle C C\,C has centre (4,−3)(4, -3)(4,−3) and passes through point (7,3)(7, 3)(7,3).
Find an equation for CCC.
Show that the point (10,0)(10, 0)(10,0) lies on CCC.
Find the equation to the tangent to C C\,C at (10,0)(10, 0)(10,0). 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.