Comparison between Sole Proprietorship and One Person Company (OPC): 
Which is better for Vikram and why?
Given Vikram’s business growth, higher risks, and liability concerns, OPC is better because it offers:
Limited liability protecting personal assets.
Separate legal entity ensuring business continuity.
Improved credibility with clients and banks.
Though OPC requires more compliance, the benefits suit Vikram’s growing business needs.
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 \(P,O,Q\).