NCERT Solutions Class 12 Maths Chapter 12 Linear Programming

Class 12 Maths Chapter 12: Linear Programming introduces students to solving real-life problems using mathematical optimisation techniques. This chapter explains how to formulate linear programming problems, how to represent them graphically, and find optimal solutions. The chapter shows the application of mathematics across areaslike business, economics, etc.

The NCERT Solutions are prepared according to the latest NCERT textbook and are fully aligned with the syllabus prescribed by the CBSE. The step by step solutions and use of simple language helps students clearly understand the formulation of the probem, graphical methods, and interpreting the solution. Regular practice of this concept can help improve accuracy and confidence in th exams.

1.0Download NCERT Solutions Class 12 Maths Chapter 12 Linear Programming : Free PDF

Linear Programming is an application-focused chapter with clear and structured questions. With NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming, students can practise graphical methods and optimisation problems easily. Download the free PDF now to revise concepts and prepare confidently for exams.

2.0Key Concepts of Class 12 Maths Chapter 12 Linear Programming

This chapter focuses on solving optimisation problems using graphical techniques. The key lessons included are:

• Linear Programming Problem (LPP): Understanding how real-life situations are converted into mathematical optimisation problems.
• Objective Function: Learning how to define functions that need to be maximised or minimised.
• Constraints: Understanding restrictions written as linear inequalities that limit possible solutions.
• Feasible Region: Identifying the common region that satisfies all constraints on a graph.
• Corner Point Method: Finding optimal solutions by evaluating the objective function at corner points of the feasible region.
• Graphical Representation: Drawing and interpreting graphs of linear inequalities accurately.

3.0Key Features and Benefits of Class 12 Maths Chapter 12 Linear Programming

• The NCERT Solutions explain problem formulation, and help students to convert word problems into mathematical models.
• The step-by-step graphical methods make identifying feasible regions and optimal points easier.
• The exercises strictly follow the textbook questions which are extremely important from an exam point of view.
• Regularly practicing these solutions can help to improve accuracy in solving application-based optimisation problems.
• Having strong fundamentals can also support the preparation for competitive exams like science and maths olympiads.