Mathematics Chapter 5: Linear Inequalities and Linear Programming – Class 12 Overview
Chapter 5, Linear Inequalities and Linear Programming, is an important topic in Class 12 Mathematics and is highly relevant for students preparing for competitive entry tests like NUST, ECAT, UET, NTS, as well as FSC board exams. This chapter covers solving linear inequalities, graphical representation of inequalities, feasible regions, and optimization problems using linear programming techniques. Mastery of this chapter helps students understand real-world applications of mathematics in decision-making and optimization.
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(0,0) is the solution of the inequality
A linear inequality contains at least _________ variables.
(0,0) is the solution of the inequality
The graph of corresponding linear equation of the linear inequality is a line called________
If the line segment obtained by joining any two points of a region lies entirely within the
region , then the region is called
The graph of corresponding linear equation of the linear inequality is a line called________
(0,0) is satisfied by
If ? > ? then
For feasible region:
A function which is to be maximized or minimized is called______ function
Corner point is also called
The graph of a linear equation of the form ?? + ?? = ? is a line which divides the whole
plane into ______ disjoints parts.
The point where two boundary lines of a shaded region intersect is called _____ point.
A linear inequality contains at least _________ variables.
The feasible solution which maximizes or minimizes the objective function is called
The number of variables in ?? + ?? ≤ ? are
The non-negative constraints are also called
The symbols used for inequality are
The point where two boundary lines of a shaded region intersect is called _____ point.
(0,0) is satisfied by
Solution space consisting of all feasible solutions of system of linear in inequalities is called
An inequality with one or two variables has ________ solutions.
The symbols used for inequality are
Solution space consisting of all feasible solutions of system of linear in inequalities is called
A function which is to be maximized or minimized is called______ function
The solution of ?? + ? < ? is
An inequality with one or two variables has ________ solutions.
The feasible solution which maximizes or minimizes the objective function is called
Corner point is also called
Importance of Linear Inequalities and Linear Programming for Entry Tests and Board Exams
Understanding this chapter improves analytical thinking, logical reasoning, and problem-solving ability. Students can efficiently solve problems involving constraints, optimization, and graphical methods. Regular practice ensures confidence in attempting both entry test MCQs and FSC board exam questions related to inequalities and linear programming.
PLS Academy Chapter-Wise Mathematics Preparation
PLS Academy provides expertly designed chapter-wise study material for Linear Inequalities and Linear Programming with clear explanations, solved examples, and exam-oriented exercises. With structured guidance and focused practice, students can master concepts, improve accuracy, and achieve high scores in both entry tests and FSC board exams.
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