The author gradually exposes the concept of democracy in this chapter. According to the author, democracy does not explore freedom. Therefore, the masses are prevented from realising their slavery which is changed according to the convenience of the rulers. The change in systems does not necessarily create any benefits for the people ruled. Through their newspapers, schools, and parliaments, the higher class makes extreme efforts to prevent us from realising our slavery. Hence, the entire scenario on democracy painted by the author, G.B Shaw, in this chapter holds true for our country.
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 \(P,O,Q\).