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NCERT Solutions for Class 12 Maths Exercise 12.1 Linear Programming

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NCERT Solutions for Class 12 Maths Exercise 12.1 Linear Programming: NCERT Solutions of Class 12 are the best way to prepare for exams. Maths Exercise 12.1 talks about solving linear programming questions using two theorems and the corner point method. NCERT Solutions provided by Embibe adhere to the CBSE guidelines. Students preparing for the CBSE 12th board exams and searching for NCERT Solutions can refer to these to score better marks.

Referring to the Class 12 Maths NCERT Solutions will help students understand the basic concepts. Apart from NCERT Solutions, Embibe provides 500+ practice questions on Linear Programming. These practice questions and mock tests on Embibe improve the overall performance of students. Students must refer to Embibe to learn more about the chapter in detail.

NCERT Solutions for Class 12 Maths Exercise 12.1: Important Topics

The Maths NCERT Solutions for Class 12 Exercise 12.1 gives an in-depth understanding of complex topics. The solutions provided by Embibe are comprehensive, ensuring that every important topic is included. These solutions include all the details of the topics in an easy and step-wise manner. Additionally, with the help of NCERT Solutions, students can revise important topics quickly.

The most important topic covered in this exercise is linear programming using the corner point method. Then comes the objective function. Students must use Embibe’s resources to ace the concepts in Linear Programming. Students can start by watching the Embibe 3D and Explainer videos for. Furthermore, all the study materials, like reference books, Exemplars, etc., are available for. Also, students must focus on NCERT Solutions as they are very helpful. These NCERT Solutions cover the major topics from the exercise to make preparations easier.

Now, let us look at the important topics from this chapter:

S. No.Topics
1Linear Programming Using Corner Point Method 
2Graphical Method of Solving Linear Programming
3Constraints of a Linear Programming

NCERT Solutions for Class 12 Maths Exercise 12.1: Points to Remember

Some of the important points to remember from Class 12 Maths Exercise 12.1 are as follows:

  • Find out the feasible region of the linear programming problem and identify its corner points or vertices.
  • Find out the value of the objective function Z = ax + by at each corner point.
  • Let N and n be the largest and smallest values at these points.
  • N and n, respectively, are the maximum and minimum values of the objective function, when the feasible region is bounded.
  • When the open half-plane determined by ax + by > N has no point in common with the feasible region then N is the maximum value of the objective function. Or else, the objective function has no maximum value.
  • When the open half-plane determined by ax + by < n has no point in common with the feasible region then n is the minimum value of the objective function. Or else, the objective function has no minimum value.

NCERT Solutions for Class 12 Maths: All Chapters

Students can check NCERT Solutions for Class 12 Maths from the following:

FAQs on NCERT Solutions for Class 12 Maths Exercise 12.1

Below are some frequently asked questions for NCERT Solutions for Class 12 Maths Exercise 12.1:

Q: What are the benefits of NCERT Class 12 Maths Exercise 12.1 Solutions?

Ans: Students can take help from NCERT Solutions to solve their homework and assignments on time without any difficulty. NCERT Solutions also give detailed descriptions to clear doubts.

Q: Where can I find NCERT Solutions for Chapter 12 Exercise 12.1 of Class 12 Maths?

Ans: Students can find, comprehensive, reliable, and easy-to-understand Exercise 12.1 Class 12 Maths NCERT Solutions at Embibe. 

Q: Where can students solve NCERT Class 12 Maths Chapter 12 Exercise 12.1 questions online?

Ans: Students can solve NCERT Class 12 Maths Chapter 12 Exercise 12.1 questions online at Embibe.

Q: What is a linear programming problem?

Ans: The linear programming problem or LPP deals with the optimisation (maximisation or minimisation) of a linear function of two variables (for instance, x and y).

Q: How many topics are there in NCERT Class 12 Maths Chapter 12 Exercise 12.1?

Ans: There are three topics in NCERT Class 12 Maths Chapter 12 Exercise 12.1.

We hope you found this article helpful. For more information and updates on NCERT Solutions for Class 12, stay tuned on Embibe.

Adaptive Practice with Solutions To Help You Ace Important Topics for 12th NCERT