Journal Entries in the books of KM Ltd.:
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Sundry Assets A/c To Sundry Liabilities A/c To LS Ltd. (To record purchase of assets and liabilities) | 7,20,000 | 2,00,000 9,60,000 |
| LS Ltd. A/c Discount on Issue of Debentures A/c To 12% Debentures A/c (Issue of debentures at 4% discount) | 9,60,000 40,000 | 10,00,000 |
Calculation:
Debentures issued = ₹ 9,60,000 / 96 × 100 = ₹ 10,00,000
= 10,000 debentures
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 \(P,O,Q\).