Right option is (a) True

To explain I would say: In the Lagrange multiplier method, a constrained problem is reformulated as one of finding the stationary points of the unconstrained functional IL(v,λ)≡Iv(v)+∫ΩcλG(v)dxdy where λ(x,y) is the Lagrange multiplier. In the penalty method, a problem with differential constraints is reformulated to one without constraints.