Importance of directing:
(i) Initiates action:
- Directing helps to initiate action among people in an organisation towards attainment of desired objectives.
(ii) Integrates employees’ efforts:
- Directing integrates employees’ efforts in the organisation in such a way that every individual effort contributes to the organisational performance. Thus, it ensures that individuals work for the organisation’s goals.
(iii) Guides employees to fully realise their potential:
- Directing guides employees to fully realise their potential and capabilities by motivating and providing effective leadership.
(iv) Facilitates introduction of needed changes:
- A manager reduces resistance to change through motivation, communication, and leadership, and develops required cooperation in introducing changes in the organisation.
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 \(P,O,Q\).