Which one of the following is incorrectly matched ?
| List-I (Term) | List-II (Meaning) |
| (A) Physiological density | Total population/Net cultivated area |
| (B) Agricultural density | Total agricultural population/Net cultivable area |
| (C) Population density | Total population/Total area |
| (D) Marginal worker | Total population/Total working population |
| LIST I (HDI Level) | LIST II (Country) |
|---|---|
| A. Very High | I. Brazil |
| B. High | II. Yemen |
| C. Medium | III. New Zealand |
| D. Low | IV. India |
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 \(P,O,Q\).