| List I | List II | ||
| A. | Export of goods and services | I. | Excess of export of goods over import of goods |
| B. | Trade surplus | II. | An element of invisible item |
| C. | Current transfers to rest of the world | III. | Recorded in credit side the current account BOP |
| D. | Portfolio investment | IV. | Foreign institutional investment |
| List I | List II | ||
| A. | Goods used in production process and are durable in character | I. | Intermediate goods |
| B. | Inputs for production | II. | Flows |
| C. | Machines in a factory | III. | Capital goods |
| D. | Annual profits | IV. | Stocks |
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 \(P,O,Q\).