The circle with equation x2+y2−10x+py+20=0x^2 + y^2 - 10x + py + 20 = 0x2+y2−10x+py+20=0 has radius kkk, where k>5k > \sqrt5k>5.
Find the two possible values of the constant p p\,p in terms 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.