Write structural formulas and names of four possible aldol condensation products from propanal and butanal.In each case,indicate which aldehyde acts as nucleophile and which as electrophile.
(i)Taking two molecules of propanal,one which acts as a nucleophile and the other as an electrophile.

(ii)Taking two molecules of butanal,one which acts as a nucleophile and the other as an electrophile.

(iii)Taking one molecule each of propanal and butanal in which propanal acts as a nucleophile and butanal acts as an electrophile.

(iv)Taking one molecule each of propanal and butanal in which propanal acts as an electrophile and butanal acts as a nucleophile.

(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 \(P,O,Q\).






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