The circle C C\,C has the equation
x2+y2+4x−2y+k=0, x^2+y^2+4x-2y+k=0, x2+y2+4x−2y+k=0,where k k\,k is a constant. Given that the point (1,3)(1,3)(1,3) lies on CCC.
Find the value of kkk.
Find the coordinates of the centre and the radius of CCC.
A straight line that passes through the point A(3,5)A(3,5)A(3,5) is tangent to the circle C C\,C at the point BBB.
Find the exact length of the line ABABAB.
18 exam-style questions on Edexcel A Level Maths 6.2 Equation of a Circle. Each one has a worked solution and a mark scheme showing where the marks go.