The cross-correlation between the ROSAT all-sky survey (~150000 sources) and the Tycho mission (~1000000 stars) catalogs has selected about 14000 stellar X-ray sources (RasTyc sample, Guillout et al. 1999). About 200-300 stars have been spectroscopically observed at high resolution both in the Halpha and LiI lambda-6708 regions with Elodie and Aurelie spectrographs of the OHP (Observatoire de lHaute Provence, France). The aim was to classify the RasTyc star sample in terms of age and chromospheric activity level and to detect eventual binary systems. Photometric and spectroscopic follow-up observations of a RasTyc sub-sample composed of particularly interesting objects (binaries and very young stars) has been performed with the 91-cm telescope of the Catania Astrophysical Observatory. In this work we present some results of this monitoring. In particular, we have obtained good radial velocity curves and solved for the orbits of three SB2 and three SB1 spectroscopic binaries. In addition, for near all sources we have detected a photometric modulation ascribable to photospheric surface inhomogeneities and chromospheric Halpha line variation.