Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the equation of the plane through the line of intersection of the planes x" "+" "y" "+" "z" "=" "1 and 2x" "+" "3y" "+" "4z" "=" "5 which is perpendicular to the plane x" " +" "y" "+" "z" "=" "0 .

If the plane 2x-3y+6z=11 makes an angle sin^(-1) (alpha) with the x-axis , then the value of alpha is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to Y-axis also passes through the point

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

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/ √ 3 from the point (3, 1, -1) is ?

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z