3d Geometry

Let the plane containing the line of intersection of the planes

P₁ : \(x+(\lambda+4)y+z=1\) and

P₂ : \(2x+y+z=2\)

pass through the points (0, 1, 0) and (1, 0, 1). Then the distance of

the point (2\(\lambda,\lambda,-\lambda\)) from the plane P₂ is :