
The given image shows young children attending school and engaging in the process of learning. This reflects the importance of education as a crucial source of human capital formation in India.
Education enhances the knowledge, skills, and productivity of individuals. By investing in quality education, the government and society are preparing a skilled and capable workforce for the future. Educated individuals are more likely to:
Education leads to long-term economic growth by improving human efficiency, reducing poverty, and enabling innovation.
Therefore, the image highlights education as a key source of human capital formation that plays a significant role in accelerating the economic growth of India.
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 \(P,O,Q\).