(i) Journal Entry:
| Particulars | Dr. (₹) | Cr. (₹) | |
| Bank A/c | Dr. | 45,000 | |
| Discount on Issue of Debentures A/c | Dr. | 5,000 | |
| Loss on Issue of Debentures A/c | Dr. | 5,000 | |
| To 9% Debentures A/c | 50,000 | ||
| To Premium on Redemption of Debentures A/c | 5,000 | ||
| (Being 500 debentures issued at 10% discount and redeemable at 10% premium) | |||
(ii) Journal Entry:
| Particulars | Dr. (₹) | Cr. (₹) | |
| Bank A/c | Dr. | 38,000 | |
| Discount on Issue of Debentures A/c | Dr. | 2,000 | |
| To 9% Debentures A/c | 40,000 | ||
| (Being 400 debentures issued at 5% discount, redeemable at par) | |||
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 \(P,O,Q\).