Read and download the CBSE Class 12 Mathematics Determinants Assignment Set A for the 2025-26 academic session. We have provided comprehensive Class 12 Mathematics school assignments that have important solved questions and answers for Chapter 4 Determinants. These resources have been carefuly prepared by expert teachers as per the latest NCERT, CBSE, and KVS syllabus guidelines.
Solved Assignment for Class 12 Mathematics Chapter 4 Determinants
Practicing these Class 12 Mathematics problems daily is must to improve your conceptual understanding and score better marks in school examinations. These printable assignments are a perfect assessment tool for Chapter 4 Determinants, covering both basic and advanced level questions to help you get more marks in exams.
Chapter 4 Determinants Class 12 Solved Questions and Answers
DETERMINANTS CASE STUDY QUESTIONS
1) Rani wants to donate a rectangular plot of land for a Hospital in her village. When she was asked to give dimensions of the plot, she told that if its length is decreased by 50 m and breadth is increased by 50m, then its area will remain same, but if length is decreased by 10m and breadth is decreased by 20m, then its area will decrease by 5300 m2.
Based on the information answer the following questions.
(a) If x represents length and y represents breadth, then find the two equations in x and y.
(b) Write the matrix form of the equations.
(c) Find x and y.
2) mar, Akbar and Anthony the three friends went to a stationary shop to purchase some articles. Amar purchased 1 pencil, 2 erasers and 2 sharpeners and paid Rs. 20 for it. Akbar purchased 2 pencil, 1 erasers and 2 sharpeners and paid Rs. 28 for it. Anthony purchased 2 pencil, 2 erasers and 1 sharpeners and paid Rs. 27 for it. If cost of a pencil, eraser and sharpener is Rs. x, y and z respectively, then based on the above information answer the following questions.
(a) Write the three equations.
(b) Using Matrices find the values of x, y and z.
3) Three friends Seeta, Geeta and Reeta are standing at the points S, G and R respectively and talking on a walky talky.
Based on the information answer the following questions.
(a) Identify the points at which all three are standing?
(b) Using determinants find the area of Δ SGR
4) Sunita ask a puzzle to her sister Anita. The puzzle is about three numbers. The numbers are such that their sum is 6. If 3rd number is multiplied by 2 and added to 1st number then the result is 7. The result is 12 on adding the 2nd and 3rd number to thrice the 1st number. If the three numbers are x, y and z, then.
based on the above information answer the following questions.
(a) Write the three equations.
(b) Using Matrices find the values of x, y and z.
| Juice | Vitamin C (mg/litre) | Iron (mg/litre) | Calcium (mg/litre) |
| Orange | 500 | 2 | 100 |
| Beetroot | 20 | 5 | 120 |
| Kiwi | 800 | 3 | 200 |
If he mixes x, y and z litres of Orange, Beetroot and Kiwi juices, then based on given information, answer the following questions.
(a) Write the three equations. (1)
(b) Using Matrices find the values of x, y and z.
DETERMINANTS MCQ
1) Find the value of k < 0, so that the area of triangle with vertices (1, 0), (5, 0) and (1, k) is 6 sq.units.
a) 3
b) -3
c) ± 3
d) -10
Answer : C
2) Find the value of k, so that the three points (1, 1), (3, 4) and (7, k) are collinear
a) 9
b) 10
c) -9
d) -10
Answer : B
3) Given that A is a square a matrix of order 3, such that IAI = λ > 0 and Iadj(A)I = 16, then I5AI =_____
a) 4
b) 20
c) 80
d) 500
Answer : D
4) Given that A is a square a matrix of order 3, and Iadj(A)I = 64, then IAI =_____
a) 8
b) -8
c) 4
d) ±8
Answer : D
5) If A is a square matrix of order 3, such that A(adj A) = 3 I, then Iadj AI =
a) 3
b) 9
c) 27
d) -3
Answer : B
| CBSE Class 12 Mathematics Matrices Assignment Set A |
Important Practice Resources for Class 12 Mathematics
CBSE Class 12 Mathematics Chapter 4 Determinants Assignment
Access the latest Chapter 4 Determinants assignments designed as per the current CBSE syllabus for Class 12. We have included all question types, including MCQs, short answer questions, and long-form problems relating to Chapter 4 Determinants. You can easily download these assignments in PDF format for free. Our expert teachers have carefully looked at previous year exam patterns and have made sure that these questions help you prepare properly for your upcoming school tests.
Benefits of solving Assignments for Chapter 4 Determinants
Practicing these Class 12 Mathematics assignments has many advantages for you:
- Better Exam Scores: Regular practice will help you to understand Chapter 4 Determinants properly and you will be able to answer exam questions correctly.
- Latest Exam Pattern: All questions are aligned as per the latest CBSE sample papers and marking schemes.
- Huge Variety of Questions: These Chapter 4 Determinants sets include Case Studies, objective questions, and various descriptive problems with answers.
- Time Management: Solving these Chapter 4 Determinants test papers daily will improve your speed and accuracy.
How to solve Mathematics Chapter 4 Determinants Assignments effectively?
- Read the Chapter First: Start with the NCERT book for Class 12 Mathematics before attempting the assignment.
- Self-Assessment: Try solving the Chapter 4 Determinants questions by yourself and then check the solutions provided by us.
- Use Supporting Material: Refer to our Revision Notes and Class 12 worksheets if you get stuck on any topic.
- Track Mistakes: Maintain a notebook for tricky concepts and revise them using our online MCQ tests.
Best Practices for Class 12 Mathematics Preparation
For the best results, solve one assignment for Chapter 4 Determinants on daily basis. Using a timer while practicing will further improve your problem-solving skills and prepare you for the actual CBSE exam.
You can download free PDF assignments for Class 12 Mathematics Chapter Chapter 4 Determinants from StudiesToday.com. These practice sheets have been updated for the 2025-26 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 12 Mathematics Chapter Chapter 4 Determinants assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.
Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter Chapter 4 Determinants.
Practicing topicw wise assignments will help Class 12 students understand every sub-topic of Chapter Chapter 4 Determinants. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 12 Mathematics Chapter Chapter 4 Determinants are available for free download in mobile-friendly PDF format.