The circle C C\,C has the equation x2+y2+6x−4y+k=0x^2 + y^2 + 6x - 4y + k = 0x2+y2+6x−4y+k=0 where k k\,k is a constant. Given that the point (2,4)(2, 4)(2,4) 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(5,7)A(5, 7)A(5,7) is a tangent to the circle C C\,C at the point BBB. Find the exact length of the line ABABAB.
292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.