Face Value of Share = ₹10, Premium = ₹5, Issue Price = ₹15
Calls Made = Application (₹5) + Allotment (incl. premium) (₹5 + ₹5) + First Call (₹2)
Calls Not Paid = First Call ₹2 per share
Journal Entries:
(i) Forfeiture of 2,00,000 shares for non-payment of first call:
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Share Capital A/c (2,00,000 × 10) | $20,00,000$ | |
| To Share Forfeiture A/c (6 paid + premium) | $18,00,000$ | |
| To Share First Call A/c (2,00,000 × 2) | $4,00,000$ |
(ii) Reissue of 2,00,000 forfeited shares at ₹14:
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Bank A/c (2,00,000 × 14) | $28,00,000$ | |
| Share Forfeiture A/c (2,00,000 × 1) | $2,00,000$ | |
| To Share Capital A/c (2,00,000 × 10) | $20,00,000$ | |
| To Securities Premium A/c (2,00,000 × 5) | $10,00,000$ |
(iii) Transfer of gain on reissue to Capital Reserve:
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Share Forfeiture A/c | $16,00,000$ | |
| To Capital Reserve A/c | $16,00,000$ |
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 \(P,O,Q\).