Financial Inclusion: The primary aim of the Jan-Dhan Yojana is to provide access to financial services like savings accounts, insurance, and credit to the economically weaker sections of society.
Affordable Banking Services: It focuses on extending banking facilities to unbanked areas through no-minimum-balance accounts.
Social Security: The scheme includes benefits like accident insurance and life insurance for account holders, promoting economic security.
Direct Benefit Transfers (DBT): Facilitates direct transfer of subsidies and welfare payments, ensuring transparency and reducing leakages.
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 \(P,O,Q\).