Sen believes that no matter what the message of the Bhagavad Gita, Arjuna's position that ‘everything goes well’ should not be ignored entirely. Krishna believes in the concept of moving forward regardless of the consequences. Sen said that Arjuna is a more practical choice than ‘faring well’. In the modern world, there exists a world full of war and violence. He cited J.R. Oppenheimer (physicist from the American group that developed nuclear weapons) as an example to support his argument.
Sen believes that Krishna’s ‘faring forward’ during this period of violence should not be considered because it will lead to negative consequences; on the contrary, today's best solution is to take appropriate action and evaluate the situation. Therefore, Sen supports Arjuna's decision of faring well and not just forward.
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 \(P,O,Q\).