There are many factors that cause migration of people from villages to cities. Some villagers voluntarily move to the cities in search of jobs and better civic and health facilities, etc. Others are forced to migrate when natural disasters like flood, storm, drought, famine, etc. destroy their houses and properties. History has records of large scale migrations caused by wars. Furthermore, many villagers who are better off than others manage to send their children to study in the cities.
In the lesson ‘Lost Spring’, Saheb and his family migrates to Seemapuri from Dhaka after their houses were destroyed in the storms.
How do the stories ‘The Last Lesson’ by Alphonse Daudet and ‘Lost Spring’ by Anees Jung illustrate the impact of socio-political factors on education?
“Children grow up in them, becoming partners in survival. And survival in Seemapuri means rag-picking. Through the years, it has acquired the proportions of a fine art. Garbage to them is gold. It is their daily bread, a roof over their heads, even if it is a leaking roof. But for a child it is even more.”
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 \(P,O,Q\).