Concept:
The Anglo-Mysore Wars were four major military conflicts fought between the Kingdom of Mysore and the British East India Company during the second half of the eighteenth century. These wars played a crucial role in determining British dominance in South India. Each war ended with a separate treaty that reflected the military and political situation prevailing at that time.
To answer this question correctly, it is important to understand the sequence of the Anglo-Mysore Wars and the treaties associated with them.
Step 1: Understanding the First Anglo-Mysore War (1767--1769).
The First Anglo-Mysore War was fought between Hyder Ali and the British East India Company.
Hyder Ali successfully challenged British forces and advanced close to Madras.
As a result, the British were compelled to sign:
\[
\boxed{\text{Treaty of Madras (1769)}}
\]
Therefore, the Treaty of Seringapatam was not associated with the First Anglo-Mysore War.
Hence, Option (A) is incorrect.
Step 2: Understanding the Second Anglo-Mysore War (1780--1784).
The Second Anglo-Mysore War began under the leadership of Hyder Ali and later continued under his son Tipu Sultan after Hyder Ali's death.
Neither side secured a decisive victory.
The war concluded with:
\[
\boxed{\text{Treaty of Mangalore (1784)}}
\]
This treaty restored the status quo between the two powers.
Therefore, Option (B) is incorrect.
Step 3: Understanding the Third Anglo-Mysore War (1790--1792).
The Third Anglo-Mysore War was fought between Tipu Sultan and a powerful alliance consisting of:
• The British East India Company.
• The Marathas.
• The Nizam of Hyderabad.
Governor-General Lord Cornwallis led the British campaign against Mysore.
After a series of military defeats and the siege of Seringapatam, Tipu Sultan was forced to negotiate peace.
The war ended with the:
\[
\boxed{\text{Treaty of Seringapatam (1792)}}
\]
Under the terms of this treaty:
• Tipu Sultan surrendered nearly half of his territory.
• A large war indemnity had to be paid.
• Two of Tipu Sultan's sons were handed over as hostages until the payment was completed.
Therefore, the Treaty of Seringapatam was signed after the Third Anglo-Mysore War.
Step 4: Understanding the Fourth Anglo-Mysore War (1799).
The Fourth Anglo-Mysore War ended with the death of Tipu Sultan during the defense of Seringapatam.
Following his death:
• Mysore lost its independence.
• British influence became dominant in South India.
• A subsidiary alliance system was introduced.
However, no Treaty of Seringapatam was signed after this war.
Therefore, Option (D) is incorrect.
Step 5: Final conclusion.
The Treaty of Seringapatam was signed in 1792 after the conclusion of the Third Anglo-Mysore War.
\[
\boxed{\text{Treaty of Seringapatam} \rightarrow \text{Third Anglo-Mysore War}}
\]
Therefore, the correct answer is:
\[
\boxed{\text{(C) Third Anglo-Mysore War}}
\]