“As per the National Stock Exchange (NSE) data, dated 9th June, 2023, there was a net selling off worth ₹ 309 crore by Foreign Institutional Investors (FIIs) over the period of one month i.e., 9th May, 2023 – 9th June, 2023.” The above-mentioned transactions will be recorded on ______ side of ______ account of Balance of Payments of India.
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 \(P,O,Q\).