Option 1 is incorrect because the Dutch did not control Kochi till India`s independence. It was actually under the rule of the British Empire from 1814 until India`s independence in 1947.

Option 2 is the correct answer. The Dutch indeed defeated the Portuguese in the Battle of Kochi in 1663. However, they did not build Fort Williams in Kochi, but they constructed Fort Kochi following their victory.

Option 3 is incorrect as the Portuguese were the first European colonizers in Kochi from 1503, much earlier than when the Dutch took over in 1663.

Option 4 is incorrect; Kochi did become part of the British colony. The British took control of Kochi from the Dutch in 1814 under the Anglo-Dutch Treaty and it remained so until Indian independence in 1947.

Thus, option 2 is the correct answer, but with a slight correction that the Dutch did not build Fort Williams. Nevertheless, the essence of the option – that the Dutch defeated the Portuguese – is true.