This paper presents a unified analysis of in-plane problems containing elliptic cavity or elliptic rigid inclusion in an anisotropic two-dimensional elastic medium under singular point forces and single-and dipole-type dis1ocations, as well as applied stresses and rotation at infinity. The analysis is based on the complex variable method using a conformal mapping technique. The analysis also covers the problems of stress intensity (or stress singularity) factors of a crack (or rigid line inclusion) under several singular forces and dis1ocations at arbitrary finite locations.