The circle C C\,C has the equation x2+y2−6x−14y+k=0x^2 + y^2 - 6x - 14y + k = 0x2+y2−6x−14y+k=0, where k k\,k is a constant.
Given that C C\,C lies entirely in the first quadrant, find the range of 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.