Read the following statements carefully:
Statement 1: Under the colonial rule, basic infrastructure (like railways, post and telegraph, etc.) was developed.
Statement 2: The real motive behind the infrastructural development in India was to strengthen the British interests.
In the light of the given statements, choose the correct alternative from the following:
Statement 1: Under colonial rule, infrastructure like railways, ports, and postal systems was developed. This is historically accurate.
Statement 2: The primary goal of this development was to serve British economic and administrative interests, such as transporting raw materials and military goods efficiently, rather than benefitting the Indian population.
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 \(P,O,Q\).