Read the following statements carefully:
Statement 1: A consumption function describes the relationship between consumption and savings.
Statement 2: Consumption function consists of two components---autonomous consumption and induced consumption.
In the light of the given statements, choose the correct alternative from the following:
Step 1: Understanding the given statements.
Statement 1: This is false because the consumption function describes the relationship between consumption and income, not savings.
Statement 2: This is true because the consumption function consists of two components:
Autonomous Consumption: The minimum level of consumption that occurs even when income is zero.
Induced Consumption: The component of consumption that varies with changes in income.
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 \(P,O,Q\).