Study the following chart carefully and analyse the changing trends in the government expenditure on:
(I) Agriculture and Allied Activities
(II) Transport

- Agriculture and Allied Activities: Government expenditure on agriculture and allied activities has shown a steady increase over the three years. - It rose from ₹1.44 lakh crore in 2021-22 to ₹1.46 lakh crore in 2022-23. - It further increased to ₹1.64 lakh crore in 2023-24. This indicates a focus on rural and agricultural development.
- Transport: Expenditure on transport has also seen a significant rise. - It increased from ₹3.90 lakh crore in 2021-22 to ₹4.33 lakh crore in 2022-23. - It further grew to ₹5.17 lakh crore in 2023-24. This highlights the government's prioritization of infrastructure development.
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 \(P,O,Q\).