Explanation:

Pair 1 is incorrect: The Nizam, the Marathas, and the English allied together against Haidar Ali. Haidar acted with considerable tact and diplomatic skill. He paid the Marathas to turn them neutral and, promising to share conquered territories with the Nizam. The war continued for a year-and-ahalf without any conclusion. English had to conclude a very humiliating treaty with Haidar on April 4, 1769—Treaty of Madras. The treaty provided for the exchange of prisoners and mutual restitution of conquests.
Pair 2 is incorrect: After Second Anglo-Mysore war, Haidar Ali died of cancer on December 7, 1782. Now his son, Tipu Sultan, carried on the war for one year without any positive outcome. British made peace was made with Hyder Ali’s son Tipu Sultan by the treaty of Mangalore.
Pair 3 is correct: Under this treaty of Seringapatam (1792), nearly half of the Mysorean territory was taken over by the English. A war damage of three crore rupees was also taken from Tipu. Half of the war indemnity was to be paid immediately while the rest was to be given in installments, for which Tipu’s two sons were taken as hostages by the English. Lord Cornwallis was the Governor-General at that time.
Pair 4 is incorrect: Tipu’s two sons were taken as hostages by the English in the third Anglo-Mysore war. The 4th Anglo-Mysore war was started on the plea that Tipu was receiving help from France. British troops stormed Seringapatam in May 1799. Tipu died in the fighting and his troops were defeated.