Hello students, we are providing assertion reason questions for class 12. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 12 maths. In this article, you will find assertion reason questions for CBSE Class 12 Maths Chapter 12 Linear Programming. It is a part of Assertion Reason Questions for CBSE Class 12 Maths Series.
| Chapter | Linear Programming |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 12 |
| Subject | Maths |
| Useful for | Class 12 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 12 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Linear Programming
Assertion Reason Questions
Directions: Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The feasible region for a linear programming problem is always a convex polygon.
Reason (R): The intersection of a finite number of linear inequalities in two variables always forms a convex region.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q2. Assertion (A): The maximum or minimum value of a linear objective function in a linear programming problem always occurs at a corner point of the feasible region.
Reason (R): The value of the objective function increases or decreases linearly with movement inside the feasible region.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q3. Assertion (A): Every linear programming problem must have an optimal solution.
Reason (R): The feasible region of every LPP is bounded.
Answer: (c) A is false, but R is true.
Difficulty Level: Tough
Q4. Assertion (A): If the feasible region is unbounded, the LPP may not have an optimal solution.
Reason (R): An unbounded region may not contain a maximum or minimum value.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Tough
Q5. Assertion (A): The corner points of the feasible region can be determined by solving the system of constraints.
Reason (R): Linear programming problems are solved graphically by checking feasible values at multiple random points.
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Difficulty Level: Moderate
Also check
- Probability Class 12 Assertion Reason Questions Maths Chapter 13
- Linear Programming Class 12 Assertion Reason Questions Maths Chapter 12
- Three Dimensional Geometry Class 12 Assertion Reason Questions Maths Chapter 11
- Vectors Class 12 Assertion Reason Questions Maths Chapter 10
- Differential Equations Class 12 Assertion Reason Questions Maths Chapter 9
- Applications of the Integrals Class 12 Assertion Reason Questions Maths Chapter 8
- Integrals Class 12 Assertion Reason Questions Maths Chapter 7
- Applications of Derivatives Class 12 Assertion Reason Questions Maths Chapter 6
- Continuity and Differentiability Class 12 Assertion Reason Questions Maths Chapter 5
- Determinants Class 12 Assertion Reason Questions Maths Chapter 4
- Matrices Class 12 Assertion Reason Questions Maths Chapter 3
- Inverse Trigonometric Functions Class 12 Assertion Reason Questions Maths Chapter 2
- Relations and Functions Class 12 Assertion Reason Questions Maths Chapter 1
🚀 Boost Your Exam Prep: Get assertion reason questions for all subjects (Class 6-12) now!
Topics from which assertion reason questions may be asked
- Formulation of LPP
- Graphical Method of Solution
- Feasible and Optimal Solutions
This chapter helps in optimizing real-life situations involving constraints.
Assertion reason questions from the above given topic may be asked.
Download Customised White Label Study Materials in MS Word Format
We are providing teaching resources to teachers and coaching institute looking for customised study materials in MS word format. Our High-quality editable study material which is prepared by the expert faculties are Highly useful for Teachers, Mentors, Tutors, Faculties, Coaching Institutes, Coaching Experts, Tuition Centers.
Frequently Asked Questions (FAQs) on Linear Programming Assertion Reason Questions Class 12
Q1: What does the chapter ‘Linear Programming’ cover?
A1: It builds key concepts related to linear programming and prepares you for logical reasoning-based questions.
Q2: What are assertion reason questions?
A2: These consist of two statements: an assertion and a reason. Students need to determine their correctness and relationship.
Q3: Why practice assertion reason questions in Linear Programming?
A3: They strengthen core concepts and boost confidence in tackling tricky scenarios from linear programming.
Q4: Are assertion reason questions part of CBSE board exams?
A4: Yes, they are included under competency-based formats to test depth of understanding.
