Option 1 states that the first Indian ruler who established the supremacy of the Indian Navy in the Arabian Sea was Rajaraja 1. Rajaraja 1 was also known as Rajaraja the Great and was the ruler of the Chola Empire in South India from 985 to 1014 CE. He is known for his naval expeditions in the Arabian Sea, where he established dominance over neighboring kingdoms and established control over trade routes. Rajaraja 1 was a skilled military strategist and had a powerful navy that played a crucial role in his conquests. Therefore, option 1 is the correct answer.
Note: The other options, Rajendra 1, Rajadhiraj 1, and Kulottunga 1, are also Chola rulers who contributed to the naval prowess of the empire but Rajaraja 1 is specifically credited with establishing the supremacy of the Indian Navy in the Arabian Sea.