There are no cities on the continent of Antarctica.
There are research stations, and there are times when the largest station is McMurdo Station with a transient population of about 1,000 souls.
You can't fit a continent inside a city
Antarctica has no official capital city as it is a continent dedicated to scientific research and does not have a permanent population or government.
North America, Mexico City has the largest population but I'm not sure about area wise
No, it is not a city. Antarctica is a continent. It is the southernmost continent on Earth and has the South Pole within it.
No. The Vatican City State -- according to their Web site -- has a population of about 800 people. On the continent of Antarctica, you can find from 1,000 to about 4,500 people living and working there temporarily.
There are no countries on Antarctica and no permanent population and therefore no cities. Many countries have scientific research stations on Antarctica.
Antarctica does not have any permanent residents, so it does not have any cities. The research stations on the continent, such as McMurdo Station and the Amundsen-Scott South Pole Station, are the largest settlements but are not considered cities.
There is no city -- nor has there ever been a city -- in Antarctica.
Lagos, Nigeria is the largest city on the African continent with a population of just over eight million people.
There is a city named Rome on every other continent, except Antarctica.
By population or area? If population, and you are prepared to use Wikipedia as a source, which you probably shouldn't, London or Paris. This differs by your definition of city, and where you draw city limits.
Sydney is Australia's largest city, with a population of about 4,297,100. It is not the capital city.