The equations of the plane which passes through (0, 0, 0) and which is equally inclined to the planesx -y + z- 3 = 0 and x + y+ z + 4= 0 is/are

The required plane is parallel to the bisector of the given planes.Bisectors are x−y+z−33=±x+y+z+43or 2y + 7 =0 and 2x+ 2y + 1 = 0. Hence, the planes are y=0 and x+y=0.