The correct option is D None of these
The planes through given lines of intersection are
(x+2y−z−3)+λ(3x−y+2z−1)=0....(1)
and (2x−2y+3z)+μ(x−y+z+1)=0....(2)
Planes (1) and (2) are same. Comparing the coefficients,
we get, 1+3λ2+μ=2−λ−2−μ=−1+2λ3+μ=−3−λμ
Solving for λ,μ, these equations are inconsistent. Therefore, there exists no such plane i.e., the lines are neither parallel nor intersecting.