Bernier’s comparison reflects his socio-political context, particularly his European perspective on governance and property rights. He criticized the Mughal Empire for the lack of private property rights, which he considered essential for the development of a stable and progressive society. His views were shaped by European ideas of property ownership and legal systems. By emphasizing private property, Bernier underestimated the socio-political and economic systems of India, which operated on a different set of norms and values. Thus, this comparison highlights his support for private property as a key component of societal progress.
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 \(P,O,Q\).