| Push Factors | Pull Factors |
|---|---|
| Factors that force people to leave their place of residence | Factors that attract people to move to a new place |
| Examples: unemployment, poverty, natural disasters, political instability, war | Examples: better job opportunities, higher living standards, safety, better education and healthcare facilities |
| Negative conditions pushing people away from their origin | Positive conditions pulling people towards a destination |
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 \(P,O,Q\).