The organisation working under the Ministry of Power and actively promoting the Electric Vehicle Programme in India is Energy Efficiency Services Limited (EESL).
About EESL: Energy Efficiency Services Limited is a joint venture of four public-sector undertakings under the Ministry of Power—NTPC Limited, Power Finance Corporation, REC Limited, and Power Grid Corporation of India. EESL was established to implement energy efficiency projects at the national level and to provide solutions that enable affordable energy access.
EESL and the EV Programme:
Key Initiatives:
“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 \(P,O,Q\).