The circle C C\,C has equation x2+y2−6x−12y=0x^2 + y^2 - 6x - 12y = 0x2+y2−6x−12y=0
Show that C C\,C has centre (3,6)(3, 6)(3,6) and radius 353\sqrt{5}35.
Show that the point P(6,12)P(6, 12)P(6,12) lies on CCC.
Find an equation for the tangent to C C\,C at PPP, giving 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.
60 exam-style questions on AQA A Level Maths 1.6.2 Coordinate geometry of the circle. Each one has a worked solution and a mark scheme showing where the marks go.