The poet criticizes the double standards of the government and other social service agencies who promise to improve the standard of living of the poor farmers and show them the rosy side of life. Yet, when the time comes to deliver their promise, they either forget them or fulfill them keeping in view their own benefits. The poet calls them “greedy gooddoers” and “beneficent beasts of prey”, who “swarm over their lives”. The poet says that these greedy people make calculated and well thought-out shrewd moves, to which the innocent, unaware farmers fall prey. These humble and simple farmers are robbed of their peace of mind by these clever people. The poet says, “…..enforcing benefits That are calculated to soothe them out of their wits, And by teaching them how to sleep they sleep all day, Destroy their sleeping at night the ancient way.”
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 \(P,O,Q\).