The circle C C\,C has the equation x2+y2−4x+6y=12x^2 + y^2 - 4x + 6y = 12x2+y2−4x+6y=12
C C\,C crosses the y y\,y axis at the points A A\,A and BBB.
Find the coordinates of the centre and the radius of CCC, and the coordinates of the points A A\,A and BBB.
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.