Problem 5.26

By means of plotting find: (a) the path of a light ray after reflection from a concave and convex spherical mirrors (see Fig. \(5.4,\) where \(F\) is the focal point, \(O O^{\prime}\) is the optical axis); (b) the positions of the mirror and its focal point in the cases illustrated in Fig. \(5.5,\) where \(P\) and \(P^{\prime}\) are the conjugate points.