Information technology (IT) can transform India into a knowledge-based economy in the following ways:
Enhanced Education Access: IT enables e-learning platforms, bridging the gap between rural and urban education systems.
Boosting Research and Innovation: IT supports data analysis, artificial intelligence, and innovation, fostering advancements in various sectors.
Efficient Governance: IT facilitates e-governance initiatives, improving transparency and citizen engagement.
Global Competitiveness: IT creates opportunities in the global market by strengthening India's service exports and tech industry.
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 \(P,O,Q\).