The planning function of management is crucial for the success of an organization. Here are four important points explaining its significance:
The following are two important types of plans in management:
Objective refers to specific, measurable goals that an organization aims to achieve within a certain time frame. Objectives provide clear direction and serve as the basis for decision-making and performance evaluation. Objectives are the end results that the organization seeks to accomplish, and they help in guiding all planning and activities towards a common goal. Objectives can be long-term or short-term and are usually quantitative, such as achieving a sales target or increasing market share by a certain percentage.
Programme is a detailed plan that outlines a series of actions, tasks, or steps to be carried out in order to achieve specific objectives. A programme consists of multiple activities, resources, and timelines needed to achieve a particular goal. It is often used to manage complex projects or initiatives, providing a comprehensive view of how various tasks are interrelated. For example, a programme to launch a new product might include stages such as research, development, marketing, and distribution.

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 \(P,O,Q\).