Match List-I with List-II
| List-I (Agricultural Land use Category) | List-II (Characteristics) |
|---|---|
| (A) Culturable Waste Land | (II) Land which has been left uncultivated for more than five years. |
| (B) Current Fallow | (I) Land which has been left uncultivated for one or less than one agricultural year. |
| (C) Fallow other than Current Fallow | (IV) Land which has been left uncultivated for more than one year but less than five years. |
| (D) Net Sown Area | (III) Physical extent of land on which crops are sown and harvested. |
Choose the correct answer from the options given below:
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 \(P,O,Q\).