(i) Science, Not Rule of Thumb: Taylor emphasized using scientific methods to determine the most efficient way of doing work rather than relying on traditional or hit-and-trial methods. For instance, standardizing tools, work methods, and work environment after careful study increases productivity.
(ii) Cooperation, Not Individualism: Taylor advocated for a harmonious relationship between workers and management. Workers should be treated as partners in progress, not as adversaries. There must be mutual understanding and open communication.
(iii) Development of Each Person to Their Efficiency: Taylor believed in the systematic training and development of workers so that they could perform to the best of their abilities. This leads to both personal growth and increased prosperity for the organization.
Final Answer: These principles aim to increase productivity, foster cooperation, and improve individual potential.
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 \(P,O,Q\).