Virtues such as peace, mercy, love and pity get distorted in the human brain when traits like selfishness, revenge, cruelty, etc take control over humans. They begin to behave like uncultured people. When a person acts unruly, he loses his dignity, virtues and his brain get distorted. So, in the poem, the poet tries to explain that every individual should maintain their qualities and never allow evil attributes to take over them. The poet tries to convey that when there are divisions in society, all the virtues will be distorted in the human brain.
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 \(P,O,Q\).