With reference to the land revenue system of the Mughals, match Column-I with that of Column-II:
I. Jama - d. The amount of revenue assessed: “Jama" refers to the amount of revenue which was assessed or fixed by the state.
II. Khet Batai - c. Field is divided when it is sown for levying revenue: “Khet Batai" was a system of crop sharing in which the field was divided after it was sown, and the revenue was collected accordingly.
III. Lang Batai - b. After cutting the crops, putting it in heaps and divided equally: “Lang Batai" involved the division of harvested crops into heaps, which were then divided between the state and cultivators.
IV. Hasil - a. The amount actually collected: “Hasil" was the actual amount of revenue that was collected, and it was often less than the assessed amount (Jama)
Match Column-I with Column-II regarding Vijayanagara Empire and choose the correct option:
| Column-I (Travellers who visited Vijayanagara Empire) | Column-II (Country they belonged) |
|---|---|
| I. Nicolo de Conti | a. Persia |
| II. Abdur Razzak | b. Portugal |
| III. Duarte Barbosa | c. Italy |
| IV. Afanasi Nikitin | d. Russia |
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).