In the present work, our investigation is to study the optical, electrical and dielectric properties of the binary mixture of cholesteryl nonanoate (CN), butoxy-benzylidene-p-n-anilino-acetophenone (BBAA), which exhibits very interesting liquid crystalline cholesteric, TGB SmA, SmC, SmB and ReSmA phases sequentially when the specimen is cooled from isotropic phase. These phases have been characterized by using microscopic and optical anisotropic techniques. The temperature variations of dielectrics and electro-optical effects have also been discussed. X-ray studies have been used to calculate the nano-aggregated grain size of the molecules.