Chapter 12:

Ncert Books Class 12 Maths Chapter 12 Free Download

An Overview of Ncert Books Class 12 Maths Chapter 12 Free Download

Ever wondered how to make the best choices with limited resources? In Ncert Books Class 12 Maths Chapter 12 Free Download, you’ll dive into Linear Programming—an important topic that teaches you how to solve real-world problems using simple maths. This chapter walks you through finding the optimum solution, such as the biggest profit or the smallest cost, all by drawing and understanding graphs.

The examples and ideas here are super helpful for CBSE Board exam prep. You can find easy, downloadable PDFs of each concept, plus clear explanations by Vedantu experts. If you need the full syllabus for planning, check the Class 12 Maths Syllabus on Vedantu anytime.

Chapter 12 (Linear Programming) is worth 5 marks in your CBSE exam. To practice more and boost your confidence, try these Class 12 Maths Important Questions designed just for you.

More Free Study Material for Linear Programming

Ncert solutions

Revision notes

Important questions

Chapter 12 of the NCERT book for Class 12 Mathematics: A Few Points

The chapter Linear Programming is divided into five units.The following are some of the topics covered in Chapter 12 of NCERT Solutions for Class 12 Math:

A linear programming issue is one in which the goal is to determine the best value (maximum or minimum) of a linear function of numerous variables (called the objective function), given that the variables are non-negative and the variables satisfy a set of linear inequalities (called linear constraints). Decision variables are non-negative variables that are sometimes referred to as decision variables. The following are some of the most important linear programming problems:

Dietary issues
Problems with manufacturing
Problems with transportation

The viable region (or solution domain) of a linear programming problem is the common region given by all the constraints, including the non-negative constraints.
Possible solutions to the restrictions are represented as points within and on the boundary of the feasible zone.
A solution that is outside the feasible zone is infeasible.
An optimal solution is a point in the feasible zone that gives the objective function's optimal value (maximum or minimum).
A maximum or minimum may not exist if the feasible region is boundless. If it does exist, it must occur at a R corner point.
When addressing a linear programming issue, the corner point approach is applied.
If two feasible region corner points are both optimal solutions of the same kind, i.e., they yield the same maximum or minimum, then every point on the line segment connecting them is likewise an optimal solution of the same type.

FAQs on Ncert Books Class 12 Maths Chapter 12 Free Download

1. In Chapter 12 of NCERT Solutions for Class 12 Math, what do you mean by linear programming? Where can I find Chapter 12 of the NCERT math book for Class 12 online?

Linear programming is a mathematical concept in which mathematical functions are constrained and then minimized or maximized as a result. This chapter's objective functions and constraints are all totally linear.

On Vedantu, you can get the NCERT Solutions for Class 12 Math Chapter 12 for free. Subject specialists curate the solutions to all of the problems so that students have the best reference material to rely on.

2. Why is Chapter 12 of the NCERT math book for Class 12 important?

For students preparing for boards and competitive exams, Chapter 12 of the NCERT book for Class 12 mathematics is essential. They provide a step-by-step approach for solving all of the sums as well as a variety of tips and tricks for quickly cross-checking the final answer. In addition, the book teaches readers how to memorize formulas and concepts more quickly.

3. Why should I practise Chapter 12 of Class 12 math NCERT book?

Practice is the way to go if a student wants to master a subject. Due to the uncertainty of the level of questions that may emerge, the 12th board may prove to be a difficult exam. As a result, in order to achieve the highest possible score, students must practise each question in Chapter 12 Linear Programming of the NCERT math book for Class 12 at least twice. They should also study over the question papers from previous exams to obtain a clear idea of the paper pattern.

4. How can CBSE students make the most of Chapter 12 of the NCERT book for Class 12 math?

The theory provided in each section of the NCERT textbook must first be reviewed by the students. After that, it's a good idea to go over all of the solved examples again. If students run into problems, they can go back to prior chapters and review the ideas. Finally, the NCERT Solutions Class 12 Math Chapter 12 can be utilized to cross-reference the answers and provide clarification on how to solve comparable problems.