With reference to Indian history, consider the following statements: 1. The Dutch established their factories/warehouses on the east coast on lands granted to them by Gajapati rulers. 2. Alfonso de Albuquerque captured Goa from the Bijapur Sultanate. 3. The English East India Company established a factory at Madras on a plot of land leased from a representative of the Vijayanagara empire. Which of the statements given above are correct?

Let's analyze each statement regarding European traders in India: 1. The Dutch established their factories/warehouses on the east coast on lands granted to them by Gajapati rulers: This statement is incorrect. The Gajapati kingdom was based in Odisha and had declined much before the major establishment of Dutch factories on the Coromandel coast (east coast). The Dutch established their important factories like Pulicat on lands obtained from local Nayak chiefs, who were often feudatories or remnants of the Vijayanagara Empire, not Gajapati rulers. 2. Alfonso de Albuquerque captured Goa from the Bijapur Sultanate: This statement is correct. Alfonso de Albuquerque, the Portuguese governor, captured Goa from Yusuf Adil Shah, the Sultan of Bijapur, in 1510. Goa subsequently became the capital of Portuguese India. 3. The English East India Company established a factory at Madras on a plot of land leased from a representative of the Vijayanagara empire: This statement is correct. In 1639, Francis Day of the English East India Company obtained a lease for the site of Madraspatnam (later Madras) from Damarla Venkatappa Nayaka, a local Nayak chief. This chief was a subordinate or representative of the remnants of the Vijayanagara Empire, whose authority had by then considerably weakened but still held sway in parts of South India. Therefore, statements 2 and 3 are correct.