Summary. — About forty years ago it was predicted that black holes can be detected as sources of X-ray radiation. Later distortions of spectral lines (Fe Kαline, in particular) for X-ray radiation emitted from the innermost parts of accretion disks were studied. In 1995 these features of Fe Kα-line were discovered with the Japanese ASCA satellite in MCG 6-30-15. Other X-ray missions such as RXTE, XMM-Newton, Chandra, etc. re-discovered features of Fe Kα-lines and other X-ray lines as well. Attempts to fit spectral line shapes lead to conclusions that sometimes the profiles should correspond to radiating regions which are located in the innermost parts of accretion disks where contributions of general relativistic phenomena are extremely important. As an illustration we consider a radiating annulus model to clarify claims about different spectral line profiles. We discuss properties of highly inclined disks and analyze the possibility to evaluate magnetic fields near black-hole horizons.