Exercise 5.1
Exercise 5.2
Exercise 5.3
MCQ’s
Class 12th Math Unit 5 – “Linear Inequalities & Linear Programming” focuses on the concepts of linear inequalities and the optimization techniques used in linear programming. Key topics typically covered in this unit include:
- Linear Inequalities: Understanding what linear inequalities are, how they differ from linear equations, and their graphical representation.
- Graphing Linear Inequalities: Techniques for graphing linear inequalities in two dimensions, including shading the appropriate regions to represent solutions.
- Systems of Linear Inequalities: Exploring systems of linear inequalities and how to find their solutions through graphical methods.
- Introduction to Linear Programming: Understanding the basics of linear programming as a mathematical method for optimizing a linear objective function, subject to constraints.
- Formulating Linear Programming Problems: Learning how to formulate real-world problems as linear programming problems, identifying objective functions and constraints.
- Graphical Method of Linear Programming: Exploring the graphical method to solve linear programming problems with two variables, including feasible regions and corner points.
- Optimal Solution: Understanding how to identify the optimal solution to a linear programming problem using graphical methods.
- Applications of Linear Programming: Discussing various applications of linear programming in fields like economics, business, engineering, and social sciences.
This unit provides students with essential skills for solving optimization problems, enabling them to apply mathematical concepts to real-world situations. If you need more specific details or additional topics, feel free to ask!