3i^ + y^ = -f^ as circle,and obtain condition that line touches it. ] The Circle. 91 10. Find the equations of the circles which touch the positive di-rections of the axes of co-ordinates, and also the line a:-r2^ = 4, [Theequation of the circle touching the axes is x^ + r/^- 2rx - Iry -f r- = 0… … •(x.yj JO Let the circle of the diagram be the circlex^^f-^2Ax^2B\j^G^^. Then K, its centre, is thepoint ( - A, - 5); and KF, its radius, is JA^ + B^ - C(§ 34). Let T be the point {x, y), and let PT be a tan-gent passing through T. Thenx^ + f + 2Ax + 2By + C={x-(-A)y^+{y-{-J])}^ -{A^ + B^-C},= Kl-…
Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
