Read the programmes related to the proposed Bharatmala umbrella scheme carefully and choose the correct option:
I. Backward areas, religious and tourist places connectivity programme
2. To interconnect the four metropolitan cities of the country
3. To develop State roads in adjoining coastal areas
4. To connect non-major ports in coastal states
Only I, II and IV are correct.
The Bharatmala scheme primarily focuses on connecting backward areas, religious/tourist sites
(I), developing state roads in coastal areas
(III), and linking non-major ports
(IV). Interconnecting the four metropolitan cities
(II) is not a component of this scheme.
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 \(P,O,Q\).