(i) Define externalities.
Externalities refer to the unintended side effects of economic activities on third parties that are not directly involved in the production or consumption of goods or services. These can be either:
Positive Externalities: Benefits to third parties (e.g., planting trees improving air quality).
Negative Externalities: Costs to third parties (e.g., pollution affecting nearby residents).
List-I | List-II | ||
|---|---|---|---|
| A | Money supply is exogenously given. | I | Post-Keynesian school |
| B | Money supply is demand driven and credit led. | II | Say’s law |
| C | Rational expectation. | III | Monetarism |
| D | Supply creates its own demand | IV | Neo-classical school |
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 \(P,O,Q\).