What are the responsibilities of line manager and project manager?

The manager is responsible for planning the aims, objectives and priorities of their work area (and communicating this to their team and to colleagues as appropriate). Depending on your level of responsibility and the grade of the people you are managing, you may need to plan their work at a detailed (daily/weekly) level, or only at a broader scale of monthly or annual objectives.

Line manager is a person with direct managerial responsibility for a particular employee while project manager is a management professional who is responsible for planning, procurement and exectuion of the project.

Both are responsible to its direct personnel to deliver its purpose effectively. Project manager has a broader scope than line manager.