Find the equation of the plane which is parallel to `2x-3y+z=0` and which passes through (1, -1, 2).

Find the equation of the plane which is parallel to the plane 2x-3y+z+8=0 and which passes through the point (-1,1,2).

Show that the equation ax+by+d=0 represents a plane parallel to the z-axis. Hence, find the equation of a plane which is parallel to the z-axis. Hence, find the equation of a plane which is parallel to the z-axis nd passes through the points A(2,-3,-1) and B(-4,7,6) .

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

If the equation of the plane parallel to the plane 2x-3y-5z+6=0 and passing through the point (-1,2,4) is ax-3y-bz+d=0 , then the value of d is

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 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).

Find the equations of the planes parallel to the plane x - 2y + 2z -4 = 0 , which are at a unit distance from the point (1, 2, 3).

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

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

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