| 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. |
| LIST-I (Chemical constant of fat) | LIST-II (Description) |
|---|---|
| A. Reichert-Meisel Number (RM number) | I. The milligrams of potassium hydroxide required to neutralise the five fatty acids present in one gram of fat. |
| B. Polanski Number | II. The amount in milliliters of potassium hydroxide solution required to neutralise the acetic acid obtained by saponification of 1 gram of fat or oil after acetylation. |
| C. Acid Number | III. Number of milliliters of 0.1 N alkali required to neutralise the soluble volatile fatty acids contained in 5 gm of fat. |
| D. Acetyl Number | IV. Number of milliliters of 0.1 N potassium hydroxide solution required to neutralise the insoluble fatty acids (not volatile with steam distillation) obtained from 5 gm of fat. |
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 \(P,O,Q\).