Journal Entries in the books of Sona Ltd.
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Bank A/c To Share Application A/c (Receipt of application money for 90,000 shares) | 18,00,000 | 18,00,000 |
| Share Application A/c To Bank A/c (Refund of application money for 10,000 shares) | 2,00,000 | 2,00,000 |
| Share Application A/c To Share Capital A/c To Share Allotment A/c (Transfer of application money) | 16,00,000 | 12,00,000 4,00,000 |
| Share Allotment A/c To Share Capital A/c (Due on allotment) | 15,00,000 | 15,00,000 |
| Bank A/c To Share Allotment A/c (Allotment money received after adjusting application excess) | 10,20,000 | 10,20,000 |
| Share Capital A/c To Share Forfeiture A/c To Share Allotment A/c (Forfeiture of Rahul’s 600 shares) | 30,000 | 24,000 6,000 |
| Share First and Final Call A/c To Share Capital A/c (First and final call due) | 6,00,000 | 6,00,000 |
| Bank A/c To Share First and Final Call A/c (Call money received) | 5,50,000 | 5,50,000 |
| Share Capital A/c To Share Forfeiture A/c To Share First and Final Call A/c (Forfeiture of Mona’s 1,000 shares) | 50,000 | 40,000 10,000 |
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 \(P,O,Q\).