The circle CCC, with centre at the point AAA, has equation x2+y2−10x+9=0x^2 + y^2 - 10x + 9 = 0x2+y2−10x+9=0.
Find the coordinates of AAA.
Find the radius of CCC.
Find the coordinates of the points at which C C\,C crosses the xxx-axis.
Given that the line l l\,l with gradient 72\displaystyle \frac{7}{2}27 is a tangent to CCC, and that l l\,l touches C C\,C at the point TTT, find an equation of the line which passes through A A\,A and TTT.
Practise Edexcel A Level Old Maths Coordinate Geometry - Cirlces with exam-style questions for A Level Old Maths. 5 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.