| Basis | Foreign Direct Investment (FDI) |
|---|---|
| Meaning | Investment made by a foreign company in physical assets like land, building, plant and machinery in another country. |
| Example | Establishment of a manufacturing unit in India by Toyota. |
| Nature | Long-term investment aimed at ownership and control. |
| Stability | Relatively stable and less volatile. |
| Basis | Foreign Institutional Investment (FII) |
|---|---|
| Meaning | Investment in financial assets like shares and bonds by foreign institutions. |
| Example | A foreign hedge fund buying shares in Indian stock market. |
| Nature | Portfolio investment without control. |
| Stability | More volatile and sensitive to market trends. |
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 \(P,O,Q\).