The author G.B. Shaw explains the concept of freedom sarcastically through the chapter 'Freedom'. He presents his statements about freedom with pure justification using historical facts. The author also gives out a witty observation on the reader's conscience using his sharp brain. He debunks the entire idea of freedom in his sarcastic style of writing. Shaw can make strong statements, be it democracy or any topic, and support it with all the required proofs from history without shying away from expressing his thoughts bravely.
On the other hand, the famous writer, J. Krishnamurti, treats freedom and discipline much smoother. His work appears to be more straightforward and explains the concept of freedom and discipline in a precise manner. Thus, both authors are different writers in their styles. Moreover, while Shaw's way of handling the topic is sarcastic, using historical facts into account to justify his statements, Krishnamurti treats it through explanations to justify his interpretation.
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 \(P,O,Q\).