Total consumption expenditure by households under Keynesian Economics is a combination of ________ and _____ .
(Choose the correct alternative to fill in the blanks)
Autonomous Consumption: This is the consumption expenditure that does not depend on income levels and occurs even when income is zero (e.g., basic needs).
Induced Consumption: This is the consumption expenditure that changes with variations in income, showing a direct relationship between income and consumption.
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 \(P,O,Q\).