Read the following statements carefully:
Statement 1: India, Pakistan and China have similar physical endowments, but totally different political systems.
Statement 2: Both India and Pakistan laid great emphasis on creating a large private sector.
Statement 1: This is true as India, Pakistan, and China share similar geographical features, such as fertile plains and river systems, but their political systems differ significantly.
Statement 2: This is false because: India initially emphasized a mixed economy with a significant public sector. Pakistan also prioritized state-led initiatives, rather than focusing on creating a large private sector.
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 \(P,O,Q\).