Availability of tractors: Tractors were not used in India during the Mughal period. Agriculture was mostly dependent on traditional methods like bullocks, and manual labor.
Abundance of Land: The availability of vast fertile lands was an important factor for the continuous expansion of agriculture during the Mughal era.
Availability of Labour: The availability of labour also contributed significantly to agricultural expansion. The peasant population was very large.
Mobility of peasants: The flexibility of peasants to settle in new lands and cultivate them also contributed to the agricultural expansion.
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 \(P,O,Q\).