Elkholy and Areefi showed that in a space time, the intersection of a plane, passing through the origin, with the ligt cone, given by the equation 3 L — 2 = O, is two 2-planes perpendicular to each other. In this study, instead of Eikholy-Areefi’s ligt cone in a space time by dealing with the cone given by the eguation, a'j + a'^ x. . 2 ‘3 — b = O and showing that also it’s intersection with 3—plane, passing through the origin, is two 2—planes perpendicular to one enother, the generalization of the aıticle of Eikholy-Areefi has heen ob­ tained. Furthermore, validity is proved for the sphere given by the equation 3 X, . 2