The Project Management Institute defines human resource management as the art and science of directing and coordinating human resources throughout the life of a project, by using administrative and behavioural knowledge to achieve predetermined project objectives of scope, cost, time, quality and participant satisfaction. The following requires your explanation and justification with reasons: a) A project leader is clearly one who leads a project team during the project life cycle and accomplishes the project objective on time and within budget. Briefly discuss the types of leadership, relationship between task and behaviour in various situation with the illustration of appropriate sketch.

a) Types of Leadership:

There are several types of leadership styles that a project leader can adopt, each with its own strengths and weaknesses.

1. Autocratic Leadership: This type of leader makes decisions without consulting their team, based on their own beliefs and judgements. This can be effective in situations where decisions need to be made quickly, but can also lead to a lack of team engagement or creativity.

2. Democratic Leadership: This style involves the leader making decisions based on the input of each team member. This can lead to high team morale and productivity, but decision-making can be slower.

3. Transformational Leadership: Transformational leaders inspire their team with a shared vision of the future. They are often charismatic and passionate, and can drive innovation and change. However, they may struggle with detail-oriented tasks.

4. Laissez-faire Leadership: This type of leader gives their team members a lot of freedom in how they do their work. This can lead to high job satisfaction, but it can also result in lack of direction and inconsistency.

Relationship between Task and Behaviour in Various Situations:

The relationship between task and behaviour can be illustrated using the Hersey-Blanchard Situational Leadership Model. This model suggests that the leadership style should change based on the maturity level (competence and commitment) of the followers.

1. Telling/Directing (High Task Focus, Low Relationship Focus): This style is used when the team is new or inexperienced, and needs clear and direct instructions.

2. Selling/Coaching (High Task Focus, High Relationship Focus): This style is used when the team has some skills, but still needs guidance and persuasion.

3. Participating/Supporting (Low Task Focus, High Relationship Focus): This style is used when the team is experienced and competent, but may lack confidence or motivation.

4. Delegating (Low Task Focus, Low Relationship Focus): This style is used when the team is highly competent and committed, and can work independently.

The appropriate leadership style depends on the situation and the team's maturity level. A good project leader is able to adapt their style to meet the needs of their team and the project.