Find the equation of the plane containing the line `2x+y+z-1=0, x+2y-z=4` and at a distance of `1/sqrt(6)` from the point (2,1,-1).

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

Find the equation of plane containing the line x+ y - z = 0 = 2x – y + z and passing through the point (1, 2, 1)

The equation of the plane containing the line 2x+z-4=0 nd 2y+z=0 and passing through the point (2,1,-1) is (A) x+y-z=4 (B) x-y-z=2 (C) x+y+z+2=0 (D) x+y+z=2

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

Find the equations of the plane parallel to the plane x-2y+2z-3=0\ and which are at a unit distance from the point (1, 1, 1).

The equation of a plane passing through the line of intersection of the planes x+2y+3z = 2 and x - y + z = 3 and at a distance 2/sqrt 3 from the point (3, 1, -1) is

Find the equations of the planes parallel to the plane x-2y+2z-3=0 which is at a unit distance from the point (1,2,3) .

Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 . Then the values of |A+B+C-4| is …..