(a) The geometrical shape of the wave front would be diverging spherical wave front, as shown in Fig.
(b) When point source is placed at the focus of a convex lens, the rays emerging from the lens are parallel. Therefore, the wave front must be plane, as the shown in Fig.
( c) As the star (i.e. source of light) is very far off i.e. at infinity, the wave front intercepted by earth must be a plane wave front as shown in Fig.