All the curious experiences at the wedding hall were due to his death. On the wedding day, Dr Margolin met with an accident on the way to the wedding hall and died. He could probably explain his strange meeting with Raizel through his past. Dr Margolin’s one true love was Raizel, whom he had loved for life, but he never had an opportunity to marry her. She married away to someone else and was later killed by the Nazis.
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 \(P,O,Q\).