# CBSE Class 12 Mathematics Determinants Assignment Set A

Read and download free pdf of CBSE Class 12 Mathematics Determinants Assignment Set A. Get printable school Assignments for Class 12 Mathematics. Class 12 students should practise questions and answers given here for Chapter 4 Determinants Mathematics in Class 12 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 12 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Assignment for Class 12 Mathematics Chapter 4 Determinants

Class 12 Mathematics students should refer to the following printable assignment in Pdf for Chapter 4 Determinants in Class 12. This test paper with questions and answers for Class 12 Mathematics will be very useful for exams and help you to score good marks

### 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.

5) Sravan is a nutritionist. He wants to create a mixture of orange juice, beetroot juice and kiwi juice that can provide 1860 mg of vitamin C, 22 mg of iron and 760 mg of calcium. The quantity of each nutrient per litre of juice is shown in table below.

 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

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

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

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

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

 CBSE Class 12 Mathematics Determinants Assignment Set A

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### CBSE Class 12 Mathematics Chapter 4 Determinants Assignment

We hope you liked the above assignment for Chapter 4 Determinants which has been designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download and practice the above Assignments for Class 12 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 12 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations.

#### Assignment for Mathematics CBSE Class 12 Chapter 4 Determinants

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#### Chapter 4 Determinants Assignment Mathematics CBSE Class 12

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#### Chapter 4 Determinants Assignment CBSE Class 12 Mathematics

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#### CBSE Mathematics Class 12 Chapter 4 Determinants Assignment

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