The economic reforms process transformed the industrial sector in the following ways:
Liberalization: Removal of license requirements under the License Raj boosted industrial growth and competition.
FDI Inflows: Reforms facilitated foreign direct investments in manufacturing, improving technology and productivity.
Privatization: Shift towards privatization reduced state control over public enterprises, making industries more efficient.
Export-Oriented Growth: Encouraged industries to focus on exports through special economic zones and trade liberalization.
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 \(P,O,Q\).