Distinguishing Between Methyl Ketone and Ethyl Ketone: A simple test can be carried out using Iodoform Test. The reaction with iodine and sodium hydroxide will form a yellow precipitate of Iodoform (CHI) for methyl ketones, such as ace- tophenone (CHCOCH), but will not give this result for ethyl ketones, such as phenylethanecar- bonyl (CHCOCHCH).
C6H5COCH3 + I2 + NaOH → Iodoform (yellow precipitate)
(i) Explain Aldol condensation with example.
(ii) How are the following conversions achieved:
(a) Benzene Benzaldehyde, (b) Ethanoic acid ethanol.
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 \(P,O,Q\).