Official CBSE Assignments for Class 12 Mathematics
Access comprehensive school assignments for Chapter 04 Determinants using the CBSE Class 12 Mathematics Determinants Assignment Set 01. Designed to align with the 2026-27 CBSE academic guidelines, these practice sets help Class 12 Mathematics students reinforce core concepts and improve their problem-solving accuracy.
Solved Practice Assignments for Mathematics
Navigate directly to the solved Mathematics assignments using the digital viewer below. Each practice set includes detailed step-by-step solutions, allowing students to instantly cross-check their work and identify areas requiring further revision.
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
Free study material for Mathematics
Download Practice Assignments: Class 12 Mathematics Chapter 04 Determinants
Chapter Practice Questions for Class 12 Mathematics
Access structured practice assignments for Chapter 04 Determinants designed in alignment with the latest CBSE curriculum for Class 12 Mathematics. These printable sets cover objective and descriptive problem types to support thorough revision.
Key Advantages of Solving Chapter 04 Determinants Assignments
- Curriculum Standards: Assignments match modern CBSE sample formats to ensure relevant preparation.
- Thorough Revision: Detailed problem sets reinforce core concepts and eliminate conceptual weak spots.
- Execution Speed: Timed practice with assignment sets sharpens overall response timing.
How to Approach Mathematics Chapter 04 Determinants Assignments
- Concept Foundation: Review the NCERT book for Class 12 Mathematics thoroughly before diving into assignment tasks.
- Self-Evaluation: Solve exercises independently before inspecting professional answer guides.
- Progress Monitoring: Note down complex formulas or concepts, clearing them up using available online practice aids.
FAQs
You can download free PDF assignments for Class 12 Mathematics Chapter 04 Determinants from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 12 Mathematics Chapter 04 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 04 Determinants.
Practicing topicw wise assignments will help Class 12 students understand every sub-topic of Chapter 04 Determinants. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 12 Mathematics Chapter 04 Determinants are available for free download in mobile-friendly PDF format.