On 1st January, 2023, Abhishek, a partner, advanced a loan of ₹ 3,00,000 to the firm. In the absence of a partnership agreement, the amount of interest on the loan for the year ending 31\textsuperscript{st} March, 2023 will be:
In the absence of a partnership agreement, interest on loans provided by a partner is charged at 6% per annum. The loan was advanced on 1st January, 2023, and the year ends on 31\textsuperscript{st} March, 2023, making the duration 3 months. \[ \text{Interest} = 3,00,000 \times \frac{6}{100} \times \frac{3}{12} = ₹ 4,500. \] Hence, the correct answer is (B).
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 \(P,O,Q\).