Definition: Disguised unemployment refers to a situation where more people are employed than required, resulting in zero or negligible marginal productivity.
Implications: Inefficient Labor Use: Resources are underutilized, and overall economic productivity remains low.
Lower GDP: Excess labor in low-productive sectors like agriculture fails to contribute to GDP growth effectively.
Hidden Unemployment: The extra workforce could be redeployed to other sectors without affecting current output levels.
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 \(P,O,Q\).