Using the statistical theory of the electron energy-loss spectrum (EELS) in the simple disordered systems suggested earlier by Adamian and Gerasimov, simple expressions for describing the resonance-line shape in binary mixtures were obtained for a model with binary Ornstein-Zernike correlations and a Lennard-Jones shift of the excitation energy. The reconstruction of the correlational contribution to the intensity of the energy loss near the distinctive dipole-forbidden resonance in the EELS, which takes place in the framework of the proposed model close to critical points, is discussed.