Calculate ‘Cash Flows from Investing Activities’ from the following information: \[ \begin{array}{|l|c|c|} \hline \textbf{Particulars} & \textbf{31st March, 2023 (₹)} & \textbf{31st March, 2022 (₹)} \\ \hline \text{Plant and Machinery} & 4,10,000 & 3,00,000 \\ \text{Goodwill} & 1,80,000 & 80,000 \\ \hline \end{array} \]
Additional Information:
(a) A machine costing ₹ 85,000 (depreciation provided thereon ₹ 15,000) was sold for ₹ 62,000. Depreciation charged during the year amounted to ₹ 48,000.
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 \(P,O,Q\).