The correct answer is: a) Internal autonomy with British control over foreign affairs.
A protectorate is a type of political relationship in which one state, the protector, assumes responsibility for the external relations of another state, the protected state, while allowing it to remain independent in its internal affairs. In the case of Hyderabad, the British were the protector and Hyderabad was the protected state. This meant that Hyderabad had its own government and laws, but the British had control over its foreign policy. The British also had the right to station troops in Hyderabad and to interfere in its internal affairs if they felt it was necessary.
Option b) is incorrect because Hyderabad did not have complete British administrative control. The British did have some control over Hyderabad’s administration, but they did not have complete control.
Option c) is incorrect because Hyderabad was not forced to pay tributes to the British. The British did receive some money from Hyderabad, but this was not a tribute. It was payment for services that the British provided to Hyderabad.
Option d) is incorrect because Hyderabad did not have a military alliance with the British. The British did have troops stationed in Hyderabad, but this was not an alliance. It was a way for the British to protect Hyderabad from external threats.