Background:
Mysore, a kingdom in southern India, was ruled by the Wodeyar dynasty during the 18th century. The kingdom was known for its strong military and economic power. However, the British East India Company, which had established its presence in various parts of India, aimed to expand its territories and influence. Mysore became a target due to its strategic location and resources.

Reasons for British Interest:
- Geostrategic Importance: Mysore's location in the Deccan Plateau provided the British with a base to control the South Indian region.
- Economic Resources: Mysore was known for its fertile lands, which produced valuable commodities like silk, sandalwood, and spices. The British sought control over these resources for trade and profit.
- Military Power: The Mysorean army, led by Tipu Sultan, was considered one of the strongest in India. The British wanted to weaken this formidable force and establish their dominance.

First Anglo-Mysore War (1767-1769):
- The British initially formed an alliance with the Nizam of Hyderabad and the Marathas to counter the Mysorean threat.
- The war was characterized by a series of battles and sieges, with neither side gaining a decisive advantage.
- The Treaty of Madras was signed in 1769, which restored the territories to their pre-war boundaries.

Second Anglo-Mysore War (1780-1784):
- Tipu Sultan, the ruler of Mysore, formed alliances with the French and sought their assistance in modernizing his army.
- The British, with their superior military tactics and resources, gradually gained an upper hand.
- The Treaty of Mangalore was signed in 1784, restoring the pre-war boundaries and ending the conflict.

Third Anglo-Mysore War (1789-1792):
- The British East India Company, along with its allies, launched a campaign to defeat Tipu Sultan and capture Mysore.
- The war witnessed several battles, including the famous Siege of Srirangapatna, where the British emerged victorious.
- Tipu Sultan signed the Treaty of Seringapatam in 1792, ceding half of his territories to the British and paying a large indemnity.

Fourth Anglo-Mysore War (1799):
- The British, with the help of local allies, launched a military campaign against Tipu Sultan, who had refused to align with them against the French.
- The decisive Battle of Seringapatam took place in 1799, resulting in the death of Tipu Sultan and the end of Mysore's independence.
- The British took control of Mysore and established a puppet ruler from the Wodeyar dynasty.

Conclusion:
The capture of Mysore by the British was a result of multiple wars fought over several decades. The British utilized their superior military tactics, alliances with local powers, and the weakening of Mysore's military strength to gradually gain control. The capture of Mysore allowed the British East India Company to extend its territorial dominion in southern India and strengthen its economic and political influence.

Define about doctrine of lapse