The intercepts made on the axes by the plane which bisects the line joining the points (1, 2, 3) and (-3, 4, 5) at right angles are

Direction ratios of the line joining points P(1,2,3) and Qe3, 4, 5) are 4, 2, 2 which are direction ratios of the normal to the plane.Then, equation of plane is 4x + 2y + 2z - k. Also this plane passes through the midpoint of PQ(1,3, 4l). Thus, −4(−1)+2(3)+2(4)=kor  k=18Hence, equation of plane is 2x - y - z = -9 Then, intercepts are (-9/2),9 and 9.