A company in its initial stage of operations, focused on developing a product or service to meet market needs, is called a startup. Startups are typically characterized by innovation, fast growth potential, and a focus on scaling their business model. They often face uncertainties but aim to establish a sustainable presence in the market.
Key features of a startup:
“এজন উদ্যোগী হোৱাটো যিমান সহজ, সফল হোৱাটো কিন্তু সিমান সহজ নহয়।” — কথাষাৰৰ পাঠ্য-আধাৰত বুজাই লিখা।

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 \(P,O,Q\).