Jain and Gupta were partners in a firm sharing profits and losses in the ratio of 7 : 3. On 31st March, 2024, the firm was dissolved. After transferring various assets (other than cash 6,400) and the third-party liabilities to Realisation Account, the following transactions took place:
Pass necessary journal entries for the above transactions in the books of Jain and Gupta.

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 \(P,O,Q\).