The circle C C\,C has the equation x2+y2−6x+2y=6x^2 + y^2 - 6x + 2y = 6x2+y2−6x+2y=6
Find the coordinates of the centre and the radius of CCC.
C C\,C crosses the y y\,y axis at the points A A\,A and BBB. Find the coordinates of the points A A\,A and BBB.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.