The correct answer is C) Muslim family.
The Arakkal kingdom was a Muslim kingdom that ruled over the Malabar Coast of Kerala, India, from the 16th to the 18th centuries. The kingdom was founded by Ali Raja I, a Muslim merchant from Arabia, who married a local Nair princess. The Arakkal kingdom was unique in Kerala as it was the only kingdom in the region that was ruled by a Muslim family.
The Arakkal kingdom was a powerful and independent kingdom that traded with both the Portuguese and the Dutch. The kingdom was also a major center of Islamic learning and culture. The Arakkal kingdom came to an end in the 18th century when it was conquered by the British.
The other options are incorrect. Option A is incorrect because the Nairs were a Hindu warrior caste in Kerala. Option B is incorrect because the Brahmins were a Hindu priestly caste in Kerala. Option D is incorrect because the Arakkal kingdom was not ruled by a European colonial power.