‘Bhagavad Gita’ is described as Krishna's one-sided wisdom, despite the disastrous consequences; however, Sen believes that Arjuna's consistent and more sensible analysis of ‘faring well’ should also be placed in the context of today's violent world. Looking back Sen suggests that the interpretation of Bhagavad Gita needs to supplement Mahabharata's broader argumentation wisdom.
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 \(P,O,Q\).