On the basis of the data given below, estimate the value of National Income (NNPFC) 
To estimate the National Income (NNP at factor cost), we can use the following formula:
National Income (NNP) = Private final consumption expenditure + Government final consumption expenditure + Net exports + Net indirect taxes + Net factor income from abroad + Gross domestic fixed capital formation - Consumption of fixed capital
Substituting the values in the formula:
National Income (NNP) = ₹2,000 + ₹1,500 + ₹700 + ₹200 + ₹100 + ₹1,000 - ₹50
National Income (NNP) = ₹5,450 crore
The National Income (NNP at factor cost) is ₹5,450 crore.
| S. No. | Particulars | Amount (in ₹ crore) |
|---|---|---|
| (i) | Operating Surplus | 3,740 |
| (ii) | Increase in unsold stock | 600 |
| (iii) | Sales | 10,625 |
| (iv) | Purchase of raw materials | 2,625 |
| (v) | Consumption of fixed capital | 500 |
| (vi) | Subsidies | 400 |
| (vii) | Indirect taxes | 1,200 |
On the basis of the given data, estimate the value of National Income (NNPFC):
| S.No. | Items | Amount (in ₹ Crore) |
| (i) | Household Consumption Expenditure | 1,800 |
| (ii) | Gross Business Fixed Capital Formation | 1,150 |
| (iii) | Gross Residential Construction Expenditure | 1,020 |
| (iv) | Government Final Consumption Expenditure | 2,170 |
| (v) | Excess of Imports over Exports | 720 |
| (vi) | Inventory Investments | 540 |
| (vii) | Gross Public Investments | 1,300 |
| (viii) | Net Indirect Taxes | 240 |
| (ix) | Net Factor Income from Abroad | (-) 250 |
| (x) | Consumption of Fixed Capital | 440 |
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 \(P,O,Q\).