Identify and explain any one function of Central Bank as indicated in the image given below: 
The image highlights various key functions of the Reserve Bank of India (RBI), the Central Bank of the country. One prominent function indicated is:
Function: Banker to the GovernmentAs seen in the second arrow (pointing toward the Parliament building), the Central Bank acts as a banker, agent, and advisor to the government. This includes:
This function ensures smooth financial transactions of the government and supports the implementation of effective economic policies.
Alternative Identifiable Functions from Image: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 \(P,O,Q\).