In which state of this country is Sydney, a famous Australian city?

Sydney, New South Wales, located on the southeast coast of Australia, with the downtown coordinates of 33 5 1' S,1512' e, is the capital of New South Wales, Australia, and the economic, cultural, political, shipping and tourism center of Australia. It is a world-famous international metropolis. Sydney is the largest and most populous city in Australia with an area of about 12 144.6 square kilometers and a population of about 5,005,400 (20 16). The whole city can be divided into ten districts: East City, Mountain Area, Inner West District, Lower North Shore, north beach, North Shore, South Sydney, Southeast Sydney, Southwest Sydney and West Sydney. Sydney is also the most economically developed city in the southern hemisphere, with a GDP of US$ 337.45 billion (20 13), and is known as the "new york" in the southern hemisphere. Sydney has been rated as one of the most livable cities in the world by UN-HABITAT, and has occupied the top ten in the list of livable cities in the world for many years. [ 1-2]