To determine the amount of 'Share Capital' to be shown under the heading 'Shareholder’s Funds,' we analyze the following:
Authorised Capital: ₹2,00,00,000 (divided into ₹10 each shares)
Issued Capital: 2,00,000 shares at a premium of ₹2 per share
Applications Received: 1,95,000 shares
Final Call Unpaid: ₹2 per share on 5,000 shares
Forfeited Shares: 5,000 shares due to non-payment of final call
| Details | Amount |
|---|---|
| Issued Capital (195,000 shares*₹10) | ₹19,50,000 |
| Share Premium (not part of Share Capital) | Ignore |
| Calls in Arrear (5,000 shares * ₹2) | Forfeited |
Therefore, the amount of 'Share Capital' to be shown is ₹19,50,000.
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 \(P,O,Q\).