Small scale and large scale industries differ in several aspects, including production capacity, capital investment, and their role in the economy.
Small Scale Industries:
- These industries operate on a smaller scale, typically producing goods in limited quantities.
- They usually require a smaller amount of capital investment.
- Labor-intensive, often employing a small number of workers.
- The products are typically for local or regional markets.
- Example: Handicrafts, small-scale food processing, and local textile mills.
Large Scale Industries:
- These industries operate on a much larger scale, with higher production capacity and larger facilities.
- They require substantial capital investment, often supported by large financial institutions.
- They are capital-intensive and use advanced machinery and technology.
- The products are usually produced in bulk and cater to national and international markets.
- Example: Automobile manufacturing (e.g., Tata Motors), steel plants, and petrochemical industries. The key differences lie in the scale of production, capital requirements, workforce size, and market reach.
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 \(P,O,Q\).