Face Recognition is one of the problems which can be handled very well using Hybrid techniques or mixed transform rather than single technique. This paper deals with using of Radon Transform followed by PCA and LDA techniques for Face Recognition. The data used are 2D Face Images from ORL Database. The Radon Transform used is based on FFT slice theorem. The directions along which the Radon transform is performed are selected using PSO in order to achieve a good recognition rate. The best directions selected are less computation expensive as compared to the full set of directions and achieve good recognition rate. The PCA is used to reduce the dimension of the data produced by Radon Transform and the LDA is used to find a set of basis vectors which maximizes the ratio between-class scatter and within–class scatter. In order to verify our method many dataset partitioning scenarios into training set and testing set were conducted. And the maximum recognition rate achieved was 97.5%.