| Date | Particulars | L.F. | Debit (₹) | Credit (₹) |
|---|---|---|---|---|
| 1. Application Money Received | ||||
| Bank A/c | 4,00,000 | |||
| To 9% Debenture Application A/c | 4,00,000 | |||
| (Application money received on 2,000 debentures @ ₹200 per debenture) | ||||
| 2. Transfer of Application Money | ||||
| 9% Debenture Application A/c | 4,00,000 | |||
| To 9% Debentures A/c | 4,00,000 | |||
| (Transfer of application money to debentures account) | ||||
| 3. Allotment Money Due | ||||
| 9% Debenture Allotment A/c | 7,00,000 | |||
| To 9% Debentures A/c | 6,00,000 | |||
| To Securities Premium Reserve A/c | 1,00,000 | |||
| (Allotment money due on 2,000 debentures @ ₹350 per debenture including premium) | ||||
| 4. Allotment Money Received | ||||
| Bank A/c | 7,00,000 | |||
| To 9% Debenture Allotment A/c | 7,00,000 | |||
| (Allotment money received on 2,000 debentures) | ||||
Total receipt will be application (2,000 × 200) + allotment (2,000 × 350) = 4,00,000 + 7,00,000 = 11,00,000
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 \(P,O,Q\).