Overhanging Beam :
A beam which is freely supported at two points and having one or both the ends extending beyond these supports is known as overhanging beam.
Statically Determinate Beams :
All the beams in which reactions of the supports may be determined by the use of equations of static equilibrium are known as statically determinate beams.
The value of these reactions are independent of the deformation of the beam.
Statically indeterminate Beams :
All the beams in which the number of reactions exceeds than the total number of equations of static equilibrium are known as statically indeterminate beams.
In these beams the static equations must be supplemented by the equation based upon the deformation of the beam.
If you have added a figure showing the beam then it would have been better for people to understand. Thanks .