Bank A/c Dr. ₹50,00,000
To Share Application and Allotment A/c ₹50,00,000
(Being application money received on 1,25,000 shares @ ₹40)
Share Application and Allotment A/c Dr. ₹50,00,000
To Share Capital A/c ₹30,00,000
To Securities Premium A/c ₹18,75,000
To Bank A/c (Refund for 25,000 shares) ₹10,00,000
To Calls in Advance A/c ₹1,25,000
(Being allotment made, excess application adjusted, and refund made)
Share First and Final Call A/c Dr. ₹45,00,000
To Share Capital A/c ₹11,25,000
To Securities Premium A/c ₹33,75,000
(Being first and final call money due on 75,000 shares)
Calls in Advance A/c Dr. ₹1,25,000
Bank A/c Dr. ₹42,50,000
To Share First and Final Call A/c ₹43,75,000
(Being money received on first and final call and adjustment of advance)
Share Capital A/c Dr. ₹1,12,500
Securities Premium A/c Dr. ₹37,500
To Share Forfeiture A/c ₹60,000
To Share First and Final Call A/c ₹90,000
(Being 1,500 shares forfeited for non-payment of first and final call)
Share Capital A/c Dr. ₹1,12,500
Securities Premium A/c Dr. ₹37,500
To Share Forfeiture A/c ₹60,000
To Share First and Final Call A/c ₹90,000
(Being 1,500 shares (Namita) forfeited for non-payment)
Total Forfeiture = 3,000 shares → ₹60,000 + ₹60,000 = ₹1,20,000
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 \(P,O,Q\).