The correct answer is A. 1510.
Goa was captured and annexed by the Portuguese in 1510. The Portuguese were led by Afonso de Albuquerque, who was the governor of Portuguese India. Albuquerque had been planning to capture Goa for some time, and he finally had the opportunity to do so in 1510. He led a fleet of ships to Goa and attacked the city. The Portuguese were victorious, and they captured Goa.
The Portuguese ruled Goa for over 450 years. During this time, they made many changes to the city. They built churches, forts, and other buildings. They also introduced Christianity to the people of Goa.
In 1961, India invaded Goa and annexed it. The Portuguese were forced to leave, and Goa became an Indian state.
Option B is incorrect because Goa was not captured by the Portuguese in 1513.
Option C is incorrect because Goa was not captured by the Portuguese in 1519.
Option D is incorrect because Goa was not captured by the Portuguese in 1525.