The circle C C\,C has the equation
x2+y2+2x+8y+k=0, x^2+y^2+2x+8y+k=0, x2+y2+2x+8y+k=0,where k k\,k is a constant. Given that the point (4,−2)(4,-2)(4,−2) 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(1,5)A(1,5)A(1,5) 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.