‘Panmol Dairy’ started using environment-friendly ‘Bilona’ method of making ghee, unlike other dairies which were using modern methods involving machines and chemicals. By doing this, ‘Panmol Dairy’ is providing employment to hundreds of illiterate people in the rural areas. Which objective of management is ‘Panmol Dairy’ trying to achieve:
Match List-I with List-II
| List-I (Principle of Management) | List-II (Explanation) |
|---|---|
| (A) Unity of Command | (I) Employees should receive orders from one superior only |
| (B) Unity of Direction | (III) Each group of activities with the same objective must have one head and one plan |
| (C) Scalar Chain | (II) The line of authority from the highest to the lowest ranks in the organization |
| (D) Division of Work | (IV) The work assigned to each worker should be clearly defined and clarified |
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 \(P,O,Q\).