1. It spans across Australia, connecting the eastern and western coasts.
2. It is one of the longest railway lines in the world, traversing diverse terrains.
3. It facilitates the movement of goods and passengers across Australia, contributing significantly to economic development.
| List I (Soil Horizon) | List II (Characteristics/Nature) | ||
| A. | A Horizon | I. | Zone of eluviation |
| B. | E Horizon | II. | Unweathered mineral material |
| C. | B Horizon | III. | Surface horizon with mineral material and organic compound beyond recognition |
| D. | C Horizon | IV. | Zone of illuviation |
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 \(P,O,Q\).