- Maharatna Example: Oil and Natural Gas Corporation (ONGC) is a Maharatna public sector company in India. This status allows the company to make independent investment decisions up to ₹5,000 crore without prior approval from the government.
- Miniratna Example: Bharat Sanchar Nigam Limited (BSNL) is a Miniratna company in India. It has been granted greater operational autonomy but has limits on the capital expenditure it can undertake without government approval.
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 \(P,O,Q\).