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12th Class Chapter 5 Mathematics Short Questions

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Question: 13
Define problem constraints.
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The system of linear inequalities involved in the problem concerned is called problem constraints.
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Question: 15
Define a feasible solution set.
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A set containing of all the feasible solution of the system of linear inequalities is called a feasible solution set.
Question: 16
Define feasible solution.
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The set of values of variables satisfying all the constraints lying in the first quadrant is known as feasible solution.
Question: 17
Define an objective function.
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A function, which is to be maximized or minimized, is called an objective function.
Question: 18
Define a corner point.
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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.
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Question: 21
Define optimal solution
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The feasible solution, which maximizes or minimizes the objective function, is called the optimal solution.
Question: 22
Define convex region.
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if the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called convex.
Question: 23
Define decision variables.
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The variables used in the system of linear inequalities relating to the problems of everyday life are non-negative are called decision variables.
Question: 24
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Question: 25
Define the solution region.
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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.
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Question: 27
What are constraints in linear programming ?
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The conditions in the form of linear equations and in-equations are known as constraints.
Question: 28
What is a feasible solution of the system of linear inequalities ?
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Each point of the feasible region is called a feasible solution of the system of linear inequalitites.
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Question: 30
In how many ways the graph of linear equation of the form ax + by = c divides the plane.
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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.
Question: 31
Define non-negative constraints and decision variable.
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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.
Question: 32
State fundamental extreme point theorem.
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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.
Question: 33
The region of graph 2x + y > 2 lies on the origin side or not.
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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.
Question: 34
Check whether the region of graph 2x + 3y > 1 lies on the origin side or not.
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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.
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12th Class Mathematics Chapters Short Questions