The circle C C\,C has the equation x2+y2−8x+6y+5=0x^2 + y^2 - 8x + 6y + 5 = 0x2+y2−8x+6y+5=0
Find (i) the coordinates of the centre of C C\,C and (ii) the exact radius of CCC.
The line with equation y=ky = ky=k where k k\,k is a constant, is a tangent to CCC. Find the possible values of kkk.
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.