Predict all the alkenes that would be formed by dehydrohalogenation of the following halides with sodium ethoxide in ethanol and identify the major alkene:
(i)1-Bromo-1 methylcyclohexane
(ii)2-Chloro-2-methyl butane
(iii)2,2,3-Trimethyl-3-bromopentane
(i)
1−bromo−1−methylcyclohexane In the given compound,all β-hydrogen atoms are equivalent.Thus, dehydrohalogenation of this compound gives only one alkene.

(ii)
In the given compound, there are two different sets of equivalent β-hydrogen atoms labelled as a and b.Thus, dehydrohalogenation of the compound yields two alkenes.

Saytzeff’s rule implies that in dehydrohalogenation reactions,the alkene having a greater number of alkyl groups attached to a doubly bonded carbon atoms is preferably produced.Therefore,alkene(I) i.e.,2-methylbut-2-ene is the major product in this reaction.
(iii)
2,2,3-Trimethyl-3-bromopentane In the given compound,there are two different sets of equivalent β-hydrogen atoms labeled as a and b. Thus, dehydrohalogenation of the compound yields two alkenes.According to Saytzeff’s rule,in dehydrohalogenation reactions,the alkene having a greater number of alkyl groups attached to the doubly bonded carbon atom is preferably formed.

Hence, alkene (I)i.e.,3,4,4-trimethylpent-2-ene is the major product in this reaction.
Give two differences between N1 and N2 reactions.
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 \(P,O,Q\).