Curves of Centres of Conic Pencils in Pseudo-Euclidean Plane

The aim of this paper is to show that in pseudo-Euclidean plane the curve of centres of an order conic pencil is a conic. Also, the conditions on coefficients of base conics are investigated in order to determine which type of conic will be obtained as curve of centres. In addition, it is shown that the curve of centres of a class conic pencil is a line.