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 which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

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).

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

A plane which prependicular totwo planes 2x-2y+z=0 and x-y+2z=4 passes through the point (1,-2,1) is:

Find the equation of a plane which passes through the point (1,2,3) and which is equally inclined to the planes x-2y+2z-3=0a n d8x-4y+z-7=0.

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

Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of a plane parallel to the plane A B C which is at distance 2 is a. 2x-3y+z+2sqrt(14)=0 b. 2x-3y+z-sqrt(14)=0 c. 2x-3y+z+2=0 d. 2x-3y+z-2=0

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Find the equation of the plane which passes through the point (3,4,-1) and is parallel to the plane 2x - 3y + 5z + 7 = 0. Also, find the distance between the two planes.