On the basis of the given image, explain the source of human capital formation which may contribute to the economic growth in India. 
(a) (i) Distinguish between human capital and physical capital.
(ii) Define Sustainable Development.
OR
(b)
(i) Describe briefly the importance of micro-credit programmes in Rural India.
(ii) State any one strategy involved in attaining sustainable development in 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 \(P,O,Q\).