Gas Authority of India Limited (GAIL) is primarily engaged in the transportation, processing, and marketing of natural gas. It plays a crucial role in the natural gas infrastructure in India, ensuring that the gas is available to industries, power plants, and other sectors in a timely manner. GAIL also focuses on the development of pipelines and other infrastructure for the distribution of natural gas across the country.
- Option (A) is incorrect as GAIL's role involves more than just storing gas.
- Option (B) is also incomplete as it only addresses the allocation aspect.
- Option (C) is correct because it encapsulates GAIL's full role in the natural gas industry, including transportation, processing, and marketing.
- Option (D) is incorrect as it focuses only on selling stored gas, which is not the primary objective of GAIL.
Thus, the correct answer is (C) To transport, process and market natural gas.
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 \(P,O,Q\).