Find the equation of the plane which is parallel to the plane `x+5y-4z+5=0` and the sum of whose intercepts on the coordinate axes is 15 units.

Show that the equation of the plane parallel to the plane 2x+4y+5z=6 and the sum of whose intercepts on the coordinate axes is 19, is 2x+4y+5z=20

Find the equation of the plane through P(1,4,-2) and parallel to the plane -2x+y-3z=0

Find the equation of a plane which is parallel to the plane x-2y+2z=5 and whose distance from thepoint (1,2,3) is 1.

Find the equation of the plane parallel to the plane 4x-3y+2z+1=0 and passing through the point (5,1,-6)

The equation of the plane parallel to the plane 2x+3y+4z+5=0 and passing through the point (1,1,1) is

Find the equation of the plane which is parallel to x-axis and cuts intercepts 2 and 5 on y and z-axis respectively.

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).

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is