The circle C C\,C has the equation x2+y2−kx−10y+c=0x^2 + y^2 - kx - 10y + c = 0x2+y2−kx−10y+c=0, where k k\,k and c c\,c are constants and 0<k<100 < k < 100<k<10.
Given that C C\,C lies entirely in the first quadrant, find, in terms of kkk, the range of possible values of ccc.
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.