| List-I (Standardization Logo) | List-II (Description/Application) |
|---|---|
A. ![]() | I. Marked where essential vitamins and minerals have been added to the food. |
B. ![]() | II. Displayed on the pack for foods that are free from harmful ingredients, food additives, or harmful processing aids. |
C. ![]() | III. 100% Organic (food is free of artificial preservatives, flavors, colors, pesticides, and chemical fertilizers). |
D. ![]() | IV. Marked on vegetable oil, pulses, cereals, veggies, honey, fruits, and vegetables indicating their quality. |
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 \(P,O,Q\).