FSc Part 2 Mathematics Chapter 5 Short Questions Preparation

• Ans 1:

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.

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:

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 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.

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.

• Ans 1:

Define non-negative constraints and decision variable.

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

Define problem constraints.

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

What is a feasible solution of the system of linear inequalities ?

• Ans 1: Each point of the feasible region is called a feasible solution of the system of linear inequalitites.

• Ans 1:

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:

• 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:

Define optimal solution

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

• 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:

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 non-negative constraints and decision variable.

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

• 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.

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 optimal solution

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