In the third stanza, the speaker calls up Xanadu with a strange voice. The speaker is surprised by the images, imagines the image to be real, and cries out, "beware, beware"! describing the creature possessing "flashing eyes" and "floating hair". The description of the animal indicates that something bad is going to happen soon. Many critics argue that the vision was the effect of opium intake, while others have denied this and tried to explain it as a final vision of Kubla Khan, which turned into a mysterious and strange ghost. Thus, the third stanza creates an ambiguous and peculiar kind of atmosphere.
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 \(P,O,Q\).