The correct order of seaports from south to north is:
- Singapore (ii) – located at the southernmost of the options.
- Hong Kong (iv) – located slightly to the north of Singapore.
- Shanghai (i) – located further north, in China.
- Yokohama (iii) – located at the northernmost, in Japan.
Hence, the correct sequence is (ii), (iv), (i), and (iii), which corresponds to option (B).
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 \(P,O,Q\).