Question
Which leadership style tends to centralize authority and
make unilateral decisions?Solution
Leadership styles are: · laissez faire (complete freedom to subordinates), · bureaucratic (Leaders strictly adhere to the organizational rules and policies and make sure that the employees also strictly follow the rules and procedures) · Autocratic (Centralised/ unilateral decision making with the leader) · Democratic (decisions are made by the leader in consultation with subordinates) · Transactional (Managers and team members set predetermined goals together, and employees agree to follow the direction and leadership of the manager to accomplish those goals) · Transformational (Leaders focus on the big picture within an organization and delegate smaller tasks to the team to accomplish goals)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Which of the following is NOT a known factor to uniquely determine a plane?
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?

If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?