The correct answer is option 4, Satara. The Doctrine of Lapse was a policy implemented by Lord Dalhousie during the British rule in India. According to this policy, any princely state that did not have a direct male heir would be annexed by the British East India Company. This policy was used to expand British influence and control over various parts of India.

In the case of Satara, it was the first state to be annexed under the Doctrine of Lapse. Satara had faced a succession issue as the ruling king, Pratap Singh, did not have a legitimate heir. As a result, Lord Dalhousie used this as an opportunity to annex the state and bring it under British control.

It is important to note that the Doctrine of Lapse was a controversial policy as it disregarded the customary laws of inheritance followed by the princely states in India. It led to resentment and opposition from many rulers and eventually played a significant role in the Indian Rebellion of 1857.