| Tariffs | Quotas |
|---|---|
| Tariffs are taxes imposed on imported goods. | Quotas are physical limits on the quantity of goods that can be imported. |
| They raise the price of imported goods, making them less competitive. | They restrict the supply of imports directly, regardless of price. |
| Generate revenue for the government. | Do not generate any direct revenue. |
| Allow importers to continue importing if they pay the higher cost. | Completely block imports once the quota limit is reached. |
| Example: 10% customs duty on imported mobiles. | Example: Import limit of 1 lakh tonnes of sugar in a year. |
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 \(P,O,Q\).