The circle C C\,C has equation
x2+y2−6x+4y=12 x^2 + y^2 - 6x + 4y = 12 x2+y2−6x+4y=12Find the centre and the radius of CCC.
The point P(−1,1)P(-1, 1)P(−1,1) and the point Q(7,−5)Q(7, -5)Q(7,−5) both lie on CCC. Show that PQ PQ\,PQ is a diameter of CCC.
The point R R\,R lies on the positive yyy-axis and the angle PRQ=90∘PRQ = 90^\circPRQ=90∘. Find the coordinates of RRR.
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.