A person with any physical impairment can live life with respect and honour, if he is not ridiculed and punished with heartless pity. He expects empathy rather than sympathy. If everyone looks down at him with a pessimistic approach, he may never be able to come out of his sorrow, and consequently, would recline to his own secluded world. He is already in tremendous mental and emotional pressure. So, he expects others to be understanding rather than remind him of his disability.
In the play, Derry and Mr. Lamb, both are caught in a similar situation. Mr. Lamb, as an adult, is able to cope with such problems, but Derry, being a child, is not able to untangle this web alone. He develops a strong liking for this old man because he spoke the words to a person who was suffering from the same ignominy.The old man thought the boy would wish to hear him.
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 \(P,O,Q\).