Arrange the following financial institutions as per their year of establishment in chronological order, starting from the oldest to latest:
(A) National Bank for Agriculture and Rural Development (NABARD)
(B) The Industrial Finance Corporation of India (IFCI)
(C) The Industrial Reconstruction Bank of India (IRBI)
(D) The Industrial Development Bank of India (IDBI)
Choose the correct answer from the options given below:
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 \(P,O,Q\).