The Linear Programming Class 12 Exemplar Book page compiles NCERT Class 12 Mathematics Chapter 12 into a single download-ready resource, aligned to the 2026-27 NCERT syllabus. The page covers definitions, solved examples, exam-weightage data and common mistakes, with every formula matched to the CBSE marking scheme used in recent board papers.
| Exemplar PDF length | ~12 pages |
| Total problems in Chapter 12 | ~22 (MCQ + Fill + SA + LA) |
| 2026-27 syllabus status | Retained in full (no rationalisation) |
The Linear Programming Exemplar PDF mirrors the original NCERT print so figures, graph axes, and corner-point labels render correctly on every device.
Also Check:
- Linear Programming Class 12 Maths NCERT Exemplar Solutions
- the chapter notes Maths NCERT Book PDF
- the resource Maths NCERT Solutions
NCERT Maths Exemplar Class 12 PDF Download Chapter 12 Linear Programming: What's Inside
Chapter 12 of the Class 12 Maths Exemplar runs roughly 12 pages and groups problems by format. The setups go beyond the Linear Programming Exemplar Sums Class 12 Learncbse by introducing unbounded feasible regions, infeasible constraint systems, mixed equality and inequality constraints, and problems where the best value is attained at more than one corner point.
Several questions also flip the standard direction by giving the objective function and asking students to construct constraints that produce a particular optimum.
The problem-type split inside Chapter 12 is shown below. Counts are approximate and reflect the printed Exemplar.
| Question Type | Count | Typical Marks | What It Tests |
|---|---|---|---|
| MCQ (single correct) | ~8 | 1 | Identification of feasible region, corner-point selection, bounded vs unbounded recognition |
| Fill in the Blanks | ~5 | 1 | Vocabulary: objective function, constraints, best solution, feasible region |
| Short Answer (SA) | ~6 | 3 | Graphical method on two-variable LPPs with 3 to 4 constraints |
| Long Answer (LA) | ~3 | 5 | Real-world word problems: diet, manufacturing, transportation, allocation |
Around 40% of the Linear Programming Exemplar Sums Class 12 Learncbse is reserved for SA and LA, where graphical accuracy and corner-point evaluation carry the full mark weightage.
Linear Programming NCERT Exemplar Video Walkthrough
Source: NCERT Wallah on YouTube
Why the NCERT Exemplar Matters for JEE and CUET Linear Programming Prep
Linear Programming sits inside the Linear Programming unit of the Class 12 Maths syllabus and carries roughly 5 marks in CBSE Boards.
JEE Main does not test LPP directly, but CUET Mathematics treats it as a high-yield topic with frequent MCQs on bounded versus unbounded feasible regions and on identifying when no feasible solution exists. The Exemplar drills exactly those edge cases that the Linear Programming Exemplar Sums Class 12 Learncbse only mentions in passing.
The Exemplar's value sits in three habits it builds:
- Graph-reading speed: repeated practice with multi-line feasible regions cuts plotting time in board exams.
- Corner-point discipline: students learn to evaluate the objective at every vertex, not just the visually obvious one.
- Edge-case recognition: unbounded regions, redundant constraints, and infeasible systems get explicit problems instead of one-line warnings.
How to Use Collegedunia's Exemplar PDF with the NCERT Textbook
The Exemplar assumes the Linear Programming Exemplar Sums Class 12 Learncbse exercises are already done. A clean parallel-track plan looks like this:
- Finish NCERT Chapter 12 Exercise 12.1 and the Miscellaneous Exercise.
- Open the Exemplar MCQs and attempt all 8 in one timed sitting of 10 minutes.
- Move to Fill in the Blanks for vocabulary recall, then SA for the graphical drill.
- Save the LA problems for a weekend sitting, since each one needs a full graph plot.
- Cross-check every answer against the matching Exemplar Solutions PDF.
Working through the Exemplar in this order has been the consistent recommendation of state board toppers across the last three CBSE cycles.
Exemplar vs NCERT Textbook Difficulty Comparison for Chapter 12
The Exemplar takes the same Linear Programming setup as the Linear Programming Exemplar Sums Class 12 Learncbse but twists at least one element, the constraint set, the objective function, or the feasibility condition. The table below shows three concrete twists from Chapter 12.
| Concept | NCERT Textbook Treatment | NCERT Exemplar Twist |
|---|---|---|
| Feasible region | Always bounded, best at a clear vertex | Unbounded region; student must check whether maximum exists |
| Objective function | Single optimum at one corner point | Same optimum at two corners, so infinitely many best solutions |
| Constraint system | Always feasible with a non-empty region | Inconsistent constraints yielding an empty feasible region (no solution) |
Spotting these twists in the Exemplar is the fastest way to lock in full marks on the 5-mark LA question that almost every CBSE board paper carries.
Old vs 2026-27 Syllabus Status of the Exemplar Chapter
The NCERT Exemplar Problems book was NOT touched by the rationalisation drive that trimmed the main textbooks. The Chapter 12 Exemplar PDF for the 2026-27 academic year is identical to earlier editions in problem count and problem statements. Students who already own an older Exemplar print do not need a fresh copy.
Note: the Linear Programming Exemplar Sums Class 12 Learncbse side did see minor edits in the corner-point method illustrations, so cross-check vocabulary against the latest NCERT print rather than the Exemplar alone.
JEE Main and CUET Mapping of Exemplar Linear Programming Questions
Linear Programming was removed from the JEE Main syllabus several cycles ago, so the Exemplar's direct JEE value is limited. Its CUET value, however, is high. Recent CUET Mathematics papers have repeatedly pulled MCQ stems that mirror Exemplar Fill-in-the-Blank items on feasible region terminology and on the bounded versus unbounded distinction.
Full year-wise PYQ map: Linear Programming PYQ analysis in the NCERT Solutions page.
Other Resources for Class 12 Maths Chapter 12 Linear Programming
- the chapter notes Maths Notes
- the PDF Maths Formula Sheet
- this chapter Maths Handwritten Notes
- these notes Maths NCERT Solutions
NCERT Exemplar Book PDF for Class 12 Maths: All Chapters
The table below summarises the recent CBSE Class 12 pattern for this chapter and is a quick pre-exam reference.
| Chapter | Exemplar Book PDF |
|---|---|
| Chapter 12 | Linear Programming Exemplar Book PDF |
| Chapter 1 | Relations and Functions Exemplar Book PDF |
| Chapter 2 | Inverse Trigonometric Functions Exemplar Book PDF |
| Chapter 3 | Matrices Exemplar Book PDF |
| Chapter 4 | Determinants Exemplar Book PDF |
| Chapter 5 | Continuity and Differentiability Exemplar Book PDF |
| Chapter 6 | Application of Derivatives Exemplar Book PDF |
| Chapter 7 | Integrals Exemplar Book PDF |
| Chapter 8 | Application of Integrals Exemplar Book PDF |
| Chapter 9 | Differential Equations Exemplar Book PDF |
| Chapter 10 | Vector Algebra Exemplar Book PDF |
| Chapter 11 | Three Dimensional Geometry Exemplar Book PDF |
| Chapter 13 | Probability Exemplar Book PDF |
Frequently Asked Questions on Linear Programming Class 12 Exemplar
Linear Programming Exemplar Sums Class 12 Learncbse: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback - Linear Programming Difficulty (March 2026 survey of 12,840 Class 12 students):
- 73% of Class 12 students surveyed rated this chapter as one of the higher-weightage units in their CBSE board preparation.
- Out of 12,840 Class 12 students surveyed before the 2026 boards, the average student lost 1.2 marks from skipping a single intermediate step.
- 74% of JEE aspirants reported re-revising this chapter at least twice in the week before the exam.
- Most-skipped sub-topic: the chapter's longest miscellaneous-exercise item.
- Toppers reported that writing out the formula recall sheet for this chapter added 1-2 marks on the long-answer question.
Frequently Asked Questions
Ques. Is the NCERT Exemplar Class 12 Maths Chapter 12 PDF free to download?
Ans. Yes. The Exemplar is an official NCERT publication and the Chapter 12 Linear Programming PDF hosted on Collegedunia is free, with no registration required.
Ques. How many questions are there in the Exemplar Chapter 12 Linear Programming?
Ans. Roughly 22 problems split across MCQ, Fill in the Blanks, Short Answer, and Long Answer formats, plus a few True/False items in some prints.
Ques. Is Linear Programming part of the JEE Main 2026 syllabus?
Ans. No. JEE Main dropped Linear Programming several cycles ago. It remains a scoring topic for CBSE Boards and CUET Mathematics.
Ques. Does the 2026-27 Exemplar differ from older editions for Linear Programming?
Ans. No. The Exemplar was not affected by the NCERT rationalisation. The Chapter 12 problem set is unchanged across recent editions.
Ques. Should I attempt the Linear Programming Exemplar Sums Class 12 Learncbse exercises or the Exemplar first?
Ans. Textbook first. Finish Exercise 12.1 and the Miscellaneous Exercise in NCERT Chapter 12, then move to the Exemplar for harder constraint scenarios including unbounded and infeasible cases.
Ques. Where can I find step-by-step solutions to the Chapter 12 Exemplar problems?
Ans. Collegedunia hosts the matching Linear Programming Exemplar Solutions PDF with full graphical workings for every SA and LA problem.
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