Read the following statements: Assertion (A) and Reason (R). Choose the correct alternative from those given below:
Assertion (A): The maximum value of Marginal Propensity to Save (MPS) can be unity.
Reason (R): At the break-even level of income, savings are zero.
Assertion (A): This is true because the maximum value of MPS can be unity when all additional income is saved and none is consumed.
Reason (R): This is true because, at the break-even level of income, all income is consumed, leaving savings at zero.
Conclusion: Although both statements are correct, the reason does not explain the assertion.
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 \(P,O,Q\).