Question

If L₁ is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L₂, is the line of intersection of the planes x + 2y - z - 3 = 0, 3x - y + 2z - 1 = 0, then the distance of the origin from the plane, containing the lines L₁ and L₂ is

(a) 1/4√2

(b) 1/3√2

(c) 1/2√2

(d) 1/√2

Answer 1

Correct Option (b) 1/3√2

Explanation:

L₁ is line of intersection of the plane

2x - 2y + 3z - 2 = 0 and x - y + z + 1 = 0 and L₂ is the line of intersection of the plane

x + 2y - z - 3 = 0 and 3x - y + 2z - 1 = 0