- Autonomous Transactions:
These are transactions that occur due to economic conditions or external factors and do not require any adjustment in the Balance of Payments. They are also known as independent transactions. Examples include exports, imports, foreign investment, and loans.
- Accommodating Transactions:
These transactions occur as a result of adjustments to maintain the Balance of Payments equilibrium. They include borrowing from foreign countries or drawing down reserves. They are required to balance the inflows and outflows from autonomous transactions.
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 \(P,O,Q\).