The circle C C\,C has the equation x2+y2−8x−10y+k=0x^2 + y^2 - 8x - 10y + k = 0x2+y2−8x−10y+k=0, where k k\,k is a constant.
Given the C C\,C lies entirely in the first quadrant, find the range of possible values of kkk.
143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.