Yes, the primary objective of infrastructural development during British rule was to serve colonial interests rather than promote Indian economic growth.
Justifications:
1. Railway Development for British Trade:
- Railways were developed to facilitate the transportation of raw materials (like cotton and jute) from Indian hinterlands to British industries.
- Finished goods from Britain were transported back for sale in Indian markets, further exploiting the Indian economy.
2. Infrastructural Focus on British Gains:
- Roads, ports, and telegraphs were developed to ease British administrative control and military movement, not to boost Indian industries. 3. Neglect of Indigenous Industrial Growth:
- Despite infrastructural improvements, no substantial efforts were made to develop indigenous industries in India.
- Indian businesses remained stagnant and dependent on British imports.
Conclusion: Thus, while infrastructure development benefited India in the long run, its primary objective under British rule was to enhance colonial exploitation rather than national development.
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 \(P,O,Q\).