Engineering of Arabidopsis for PHB production: The Arabidopsis plant was genetically engineered by introducing three bacterial genes from Alcaligenes eutrophus responsible for PHB biosynthesis:
These genes were introduced into the chloroplast genome of Arabidopsis to enable the plant to produce PHB granules in its tissues, effectively turning the plant into a bioreactor for biodegradable plastic production. Drawback of producing PHB by fermentation using Alcaligenes eutrophus: The major drawback is the high production cost due to expensive fermentation substrates and the need for downstream processing to extract and purify PHB from bacterial cells. This limits large-scale commercial production.

In the above represented plasmid an alien piece of DNA is inserted at the EcoRI site. Which of the following strategies will be chosen to select the recombinant colonies?
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 \(P,O,Q\).