You are Sunita/Sunil of 49, Oldams, Samudranagar. You have recently come across an advertisement for the post of Football Coach in Five Star Sports Academy. Write an application along with your bio-data.
You are Mridula/Mridul from 7, M Layout, Neelpuri. You have recently come across reports of hit-and-run cases, in which mostly juveniles were involved. These incidents have taken away some precious lives. As a responsible citizen, write a letter to the editor of a national daily expressing your concern and suggest measures to prevent such incidents in the future. You may use the following cues along with your own ideas to compose the letter.
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 \(P,O,Q\).