Journal Entries in the books of GI Ltd.
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Bank A/c To 12% Debentures A/c To Securities Premium A/c (Issue of 40,000 debentures at ₹ 110 each) | 44,00,000 | 40,00,000 4,00,000 |
| Interest on Debentures A/c To Debenture holders A/c (Half-yearly interest due on debentures) | 4,80,000 | 4,80,000 |
| Debenture holders A/c To Bank A/c (Payment of half-yearly interest) | 4,80,000 | 4,80,000 |
Calculation:
Interest = ₹ 40,00,000 × 12% = ₹ 4,80,000 annually.
Paid in two equal instalments.
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 \(P,O,Q\).