A racing track is build around an elliptical ground whose equation is given by $9x^2 + 16y^2 = 144$. The width of the track is $3\text{ m}$ as shown below : Based on given information, answer the following questions : (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 co-ordinates 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 the triangle formed by points $P$, $O$, $Q$ using integration.