Growth with equity is an important objective of India’s economic planning, ensuring economic expansion while reducing inequality.
Key Importance:
1. Balanced Economic Development:
- Ensures that the benefits of economic growth reach all sections of society, including rural and marginalized communities.
2. Reduction of Poverty and Unemployment:
- Focuses on inclusive growth, generating employment opportunities and improving living standards.
3. Social and Political Stability:
- Reducing economic disparities prevents social unrest, ensuring national stability and sustainable development.
Conclusion: Achieving growth with equity is essential to foster inclusive economic development, ensuring prosperity for all citizens rather than just a privileged few.
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 \(P,O,Q\).