Charleston
The state capital nearest to the coordinates 38 degrees N, 82 degrees W is Frankfort, the capital of Kentucky.
The state capital nearest to the coordinates 40 degrees north and 75 degrees west is Trenton, New Jersey. Trenton is located just a few miles from these coordinates, making it the closest state capital to that specific point.
Sydney, the capital of Australia, is the nearest capital city to the given coordinates. It lies at 33.86 degrees South and 151.21 degrees East.
The state capital nearest to the coordinates 30 degrees north and 85 degrees west is Tallahassee, Florida. Tallahassee is located at approximately 30.4383° N latitude and 84.2807° W longitude, making it quite close to the specified coordinates.
Brisbane, capital of Queensland, is the nearest state capital to the Gold Coast.
That point is in central Mexico. The nearest capital is Querétaro, the capital city of the state of the same name, about 48 miles northwest of that point.
Charleston WV is about 31 miles northeast of that point.
Your question is very poorly worded.The national capital of California is the capital of the United States, Washington, D.C. The nearest state capital to Washington, D.C., is Annapolis, Maryland.The nearest state capital to the state capital of California (Sacramento) is Carson City, Nevada. Carson City is also the state capital closest to the California state line, unless you include Mexicali, the capital of the Mexican state of Baja California. Mexicali is just over the border from Calexico, California.
The nearest state capitals to Canberra are Sydney and Melbourne.
Annapolis, Maryland, is the state capital closest to Washington, D.C., the capital of the United States.
Annapolis, Maryland
Columbus is the capital city of Ohio. Columbus is located at 39 degrees 59′N 82 degrees 59′W.