FSc Part 2 Mathematics Chapter 5 Short Questions Preparation

• Ans 1:

Define the solution region.

• Ans 1: The common region of all the graphs of each of inequality is the system on the same coordinate axes is called the solution region for the system of inequalities.

• Ans 1:

Define optimal solution

• Ans 1: The feasible solution, which maximizes or minimizes the objective function, is called the optimal solution.

Define convex region.

• Ans 1: if the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called convex.

• Ans 1:

Define feasible solution.

• Ans 1: The set of values of variables satisfying all the constraints lying in the first quadrant is known as feasible solution.

• Ans 1:

State fundamental extreme point theorem.

• Ans 1: From all the points in a plane bounded by a number of lines the maximum or minimum value of the objective function occurs only at one of the vertices of the bounded linear region.

• Ans 1:

Define the solution region.

• Ans 1: The common region of all the graphs of each of inequality is the system on the same coordinate axes is called the solution region for the system of inequalities.

• Ans 1:

• Ans 1:

Define decision variables.

• Ans 1: The variables used in the system of linear inequalities relating to the problems of everyday life are non-negative are called decision variables.

Define feasible solution.

• Ans 1: The set of values of variables satisfying all the constraints lying in the first quadrant is known as feasible solution.

Define optimal solution

• Ans 1: The feasible solution, which maximizes or minimizes the objective function, is called the optimal solution.

• Ans 1:

Check whether the region of graph 2x + 3y > 1 lies on the origin side or not.

• Ans 1: The graph of 2x + 3y > 1 is an open half plane.
  As 2(0) + 3 (0) > 1 is not true.
  So the region is not on the origin side.

Define a corner point.

• Ans 1: A point of a solution region where two of its boundary lines intersect is called a corner point or a vertex of the solution region.

Define problem constraints.

• Ans 1: The system of linear inequalities involved in the problem concerned is called problem constraints.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

The region of graph 2x + y > 2 lies on the origin side or not.

• Ans 1: The graph of 2x + y > 2 is the open half plane.
  As 2(0) + 0 > 2 is not true.
  So the region is not on the origin side of 2x + y = 2.

• Ans 1:

In how many ways the graph of linear equation of the form ax + by = c divides the plane.

• Ans 1: The graph of linear equation of the form ax + by = c is a straights line, which divides the plane into two disjoint regions, as ax + by < c and ax + by > c; where a, b and c are constants and a, b are not both zero.

• Ans 1:

• Ans 1:

• Ans 1: