Modernization is an important economic planning objective that focuses on _______ .
(i) Adoption of innovative technology
(ii) Equal distribution of income and wealth
(iii) Bringing positive changes in the social outlook
Modernization involves:
Adoption of innovative technology: Enhances productivity and global competitiveness.
Positive social outlook: Encourages progressive attitudes and cultural development. Modernization ensures economic and social progress by focusing on technological and social development.
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 \(P,O,Q\).