Curves of Foci of Conic Pencils in pseudo-Euclidean Plane

In this article, it will be shown that the curve of foci of an order conic pencil in the pseudo-Euclidean plane is generally a bicircular curve of 6th order. In some cases, depending on a position of four base points of the pencil, this curve is of 5th, 4th or 3rd order and in some cases it is even a conic or only a line.