Coordinate Geometry

Students of a school are standing in rows and columns in their playground for a drill  practice. A,  B,  C  and  D  are  the  positions  of  four  students  as  shown  in figure.  Is  it  possible  to  place  Jaspal  in  the  drill  in  such  a  way  that  he  is equidistant from each of the four students A, B, C and D? If so, what should be his position?