Credit plays a vital role in rural development in the following ways:
Investment in Agriculture: Credit enables farmers to invest in seeds, fertilizers, irrigation, and technology, boosting agricultural productivity.
Rural Infrastructure Development: Credit facilitates the construction of roads, warehouses, and rural markets, enhancing connectivity and storage facilities.
Entrepreneurship Promotion: Access to credit supports small-scale industries and self-employment opportunities, fostering rural entrepreneurship.
State and elaborate, whether the following statements are true/false, with valid arguments
Under the Golden Revolution there was tremendous growth in horticulture, making India the world leader in this field.
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 \(P,O,Q\).