Parallel lines as generalised circles in inversive geometry

Question

Consider the inversion of circles ($w_1$ and $w_2$) w.r.t. the circle ($c$) that gives circles of infinite radius ($t_1$ and $t_2$ respectively). What is the nature of the generalised circles $t_1$ and $t_2$ (are they intersecting at one point OR concentric)? Is it possible to get $t_1$ and $t_2$ such that they are concentric circles of infinite radius?