The History of Pataliputra
Each city had a history of its own. Pataliputra, for instance, began as a village known as Pataligrama. Then, in the fifth century BCE, the Magadhan rulers decided to shift their capital from Rajagaha to this settlement and renamed it. By the fourth century BCE, it was the capital of the Mauryan Empire and one of the largest cities in Asia. Subsequently, its importance apparently declined. When the Chinese pilgrim Xuan Zang visited the city in the seventh century CE, he found it in ruins, and with a very small population.
What role did Pataliputra play in the history of the Magadhan empire?
Match the LIST-I with LIST-II
| LIST-I | LIST-II | ||
|---|---|---|---|
| (A) | Ziggurat | I. | Sumerians |
| (B) | Assyrian Lamassu | II. | Assyrians |
| (C) | Stele of Hammurabi | III. | Babylonian |
| (D) | Cylinder Seals | IV. | Akkadian |

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?