“Micro-credit programmes have helped to fill in the gaps in the formal credit system.”
Justify the given statement.
Micro-credit programmes play a crucial role in bridging the gap between the formal credit system and underserved populations by providing small, collateral-free loans to individuals who lack access to traditional banking services.
How Micro-Credit Programmes Fill Gaps in the Formal Credit System: Access to Credit for the Underserved: Traditional banking institutions often exclude low-income groups, rural populations, and small entrepreneurs due to lack of collateral and credit history. Micro-credit programmes, operated through Self-Help Groups (SHGs) and Microfinance Institutions (MFIs), provide financial assistance to these segments, enabling them to start or expand their businesses.
Financial Inclusion and Women Empowerment: Many micro-credit programmes focus on lending to women, fostering financial independence and improving household welfare. Women-led SHGs help in promoting entrepreneurship, enhancing social status, and contributing to household income.
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 \(P,O,Q\).