The correct answer is option 3 - 1865. In 1865, the first telegraphic connection was established between Europe and India. This important milestone in communication history allowed for faster and more efficient communication between the two continents.
Option 1 - 1851: This year is not the correct answer. The first telegraphic connection between Europe and India was not established in 1851.
Option 2 - 1854: This year is not the correct answer. The first telegraphic connection between Europe and India was not established in 1854.
Option 4 - 1871: This year is not the correct answer. The first telegraphic connection between Europe and India was established earlier, in 1865.
Therefore, option 3 - 1865 is the correct answer.