A study is made of exclusive processes of production of the pseudoscalar ..pi..°, eta, and eta' mesons in the weak neutral currents, due to scattering of a neutrino: a) by virtual mesons (Reggeons) at the periphery of a nucleon; b) in the Coulomb field of a proton (nucleus). The study of such processes will make it possible to obtain information about the weak transitions meson (Reggeon)..--> pi..°(eta,eta') and about the effects of the isoscalar axial current.