A plane bisects the segment joining (4,-2,1) and (0,-4,3) perpendicularly. The z intercept of the plane is

A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and also perpendicular to this line,then the point lies on the plane can be (a) (1,-2,3) (b) (1,2,2) (c) (3,-5,2) (d) (3,-1,0)

A plane bisects the line segment joining the points (1,2,3) and (-3,4,5) at right angles. Then this plane also passes through the point

A plane bisects the join of (1,2,3) and (3,4,5) at right angles. Its intercepts on the co-ordinate axes are

The intercepts of the plane 2x-3y+5z-30=0 are

The XZ plane divides the line segment joining the points (3,2,b) and (a,-4,3) in the ratio

Find the equation of the plane that bisects the line segment joining points (1, 2, 3) and (3, 4, 5) and is at right angle to it.

The equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.