subodh public school of task_2018-19/time off... · study of the presence of oxalate ions in guava...

1 | P a g e | | F a c u l t y o f S c i e n c e | | S u b o d h P u b l i c S c h o o l

Subodh Public School

RAMBAGH CROSSING, JAIPUR

TIME OFF TASK

(Session 2018-19)

SCHOLARS (Science)

The Summer Break is commencing from May 21, 2018 and the school shall reopen on

July 02, 2018. You all know that plus two is a very crucial stage of your life, as the

efforts put by you will enable you to frame your career. Start visualizing yourself to a

few years ahead of now. To make your dreams actually come true you require sincere

and meticulous efforts at the right time. A few little things that could really help you

in pacing with your progress: -

Note:-

All the students are required to make one project/ investigatory project from the

below given list of topic in different subjects, which is to be shown in Half Yearly and

if approved by the subject faculty then in Board Exam/Yearly Exam also.

Write the project report also which should include following points:-

1 Title page

2 Index page

3 Guide certificate

4 Acknowledgment

5 Need of the project

6 Introduction of topic

7 Principle or law on which the project is based

8 Work plan

9 Working and experimentation

10 Observation

11 Cost effectiveness

12 Practical uses of project

13 Result

14 Future plan for the project

15 Bibliography


English Scholars-1 In an A4 sized scrap book paste the English newspaper clippings of the following:

# 5 Articles based on environment, health, social issues. # 5 Newspaper report based on road accident, event & incident. # 5 notice # 5 posters # 5 display advertisement # 5 commercial advertisement

Scholars-2 In an A4 sized scrap book write the following from the prescribed novel - The Invisible Man

# Theme # Message # Plot # Important developments in storyline # Important character sketch

Paste the following from newspaper clipping :

# 5 articles based on environment, social & health issues # 5 Display and Commercial Advertisement.

Paste 1 sample of invites for:

* Birthday card * Annual Function * Inauguration ceremony * Marriage * Farewell

PHYSICS

Scholars 1

❖ Make some useful futuristic model based on law or a concept of physics and

make its project file.

❖ Collect information and prepare a presentation (ppt/oral) to be staged in the

month of July, on the following topics according to your group (assigned in the

class):

Submit your presentation in CD on reopening of school in July.

a) How does the touch pad of a laptop works?

b) How does LCD panels work?

c) Advantages of Polaroid sunglasses.

d) How is the satellite link maintained in some of the latest vehicles?

e) How is Euro2 technology different from Euro3?

f) Migration of birds (Magnetism)

g) MRI v/s Magneto encephalography (Magnetism)

h)Techniques and innovations used in optical instruments for medical

industrial/military/ commercial use (Optics).


i) Automatic garage door opener/ flash of camera/ counting of bacteria

etc (Photoelectric effect)

i) Modern electrical/electronic gadgets (Electrostatics and electricity).

i) Electrical safety

ii) Portable back up generators

iii) Use of super conductors

❖ Identify a daily life problem and give an idea towards solution of the problem

for Tinkering Lab Activity.

❖ Physics Experiment Record:

Write all the experiments in your Physics Experiment Record File with proper

observation tables (write observations and result when you perform experiment

in the laboratory).

Scholars-2

1. (A) Physics Blog write up:

Hand Write an article in 200 words on any one of the following topics on A4

size paper. The article must contain:

*What, How, Who, When and Where about the concept

* At least one interesting real life example

* A graphic or illustration (preferably coloured) representing the concept

* A caption of 2or 3 sentences explaining the concept.

OR 1. (B) Pin Board Display:

Make a Pin Board Display on any one of the following topics and submit on

re-opening of the school after summer break (by July7). Topics for (A) and (B) :

1. Internet of Things (IOT)

2. Design Thinking

3. Matter and Anti matter

4. Dark Matter and Dark Energy

5.The forth state of matter ‘Plasma’

6.Nano technology / Nano tubes/ Nano medicine/ Medical Nano robotics.

7.Augmented and Vertual reality.

8.3-D Printing.

9.Educational mobile apps

10.e-wast management

11. The world of elementary particles.

12. Quantum Entanglement/ Warm holes/ Quantum Dots.

❖ Get your topic registered on first come first served basis

2. Flip Learning:

Towards using Flip Learning Strategy for Unit 3: Magnetic Effects of Current

and Magnetism (to be learnt in July), use your Text Book and following web

Resources for preparation.

1. https://www.khanacademy.org

https://www.khanacademy.org/


2. https://www.refseek.com

3. https://www.brightstorm.com

4. http://www.watchknowlearn.org

5. http://physicscatalyst.com

or any other website of your choice.

3. Project Work:

Make a Physics Project/Working model and make its Report or do an investigatory

project and its report on one of the following topics:

Suggested Investigatory Projects

1. To study various factors on which the internal resistance/EMF of a cell

depends.

2. To study the variations in current flowing in a circuit containing an LDR because

of a variation in (a) the power of the incandescent lamp, used to 'illuminate' the

LDR (keeping all the lamps at a fixed distance). (b) the distance of a

incandescent lamp (of fixed power) used to 'illuminate' the LDR.

3. To find the refractive indices of (a) water (b) oil (transparent) using a plane

mirror, an equi convex lens (made from a glass of known refractive index) and an

adjustable object needle.

4. To design an appropriate logic gate combination for a given truth table.

5. To investigate the relation between the ratio of (i) output and input voltage and

(ii) number of turns in the secondary coil and primary coil of a self designed

transformer.

6. To investigate the dependence of the angle of deviation on the angle of

incidence using a hollow prism filled one by one, with different transparent

fluids.

7. To estimate the charge induced on each one of the two identical styrofoam (or

pith) balls suspended in a vertical plane by making use of Coulomb's law.

8. To set up a common base transistor circuit and to study its input and output

characteristic and to calculate its current gain.

9. To study the factor on which the self inductance of a coil depends by observing

the effect of this coil, when put in series with a resistor/(bulb) in a circuit fed

up by an A.C. source of adjustable frequency.

10. To construct a switch using a transistor and to draw the graph between the

input and output voltage and mark the cut-off, saturation and active regions.

11. To study the earth's magnetic field using a tangent galvanometer.

12. To observe and explain the effect of heating on a bi-metallic strip.

13. To note the change in level of liquid in a container on heating and interpret the

observations.

14. To study the effect of detergent on surface tension of water by observing

capillary rise.

15. To study the factors affecting the rate of loss of heat of a liquid.

https://www.refseek.com/

https://www.brightstorm.com/

http://www.watchknowlearn.org/

http://physicscatalyst.com/


16. To study the effect of load on depression of a suitably clamped meter scale

loaded at (i) at its end (ii) in the middle.

17. To observe change of state and plot a cooling curve for molten wax.

18. To study the relationship between force of limiting friction and normal reaction

and to find the coefficient of friction between a block and a horizontal surface.

19. To find the downward force, along an inclined plane, acting on a roller due to

gravitational pull of the earth and study its relationship with the angle of inclination

(θ) by plotting graph between force and sin θ.

20. To determine mass of a given body using a metre scale by principle of moments.

21. To plot a graph for a given set of data, with proper choice of scales and error

bars.

22. To measure the force of limiting friction for rolling of a roller on a horizontal

plane.

23. To study the variation in the range of a jet of water with the angle of

projection.

24. To study the conservation of energy of a ball rolling down on inclined plane

(using a double inclined plane).

25. To study dissipation of energy of a simple pendulum by plotting a graph between

square of amplitude and time.

4. Physics Experiment Record and Activity Files:

Write all the experiments in your physics Experiment record File (In the same

sequence as written in the month wise syllabus displayed in the Lab soft Board ) with

proper observation table (write observations and results when you perform experiment

in the Laboratory).Write 3 activities from each section A and B in your activity file and

submitted by July 14.

CHEMISTRY Select the project from below given list and enrolled your title with the subject

teacher. Enrolment for the project title will be done on the basis of first come

first serve.

1. Study of the presence of oxalate ions in guava fruit at different stages of

repening.

2. Study of quantity of casein present in different samples of milk.

3. Preparation of soyabean milk and its comparison with the natural milk with

respect to curd formation, effect of temperature, etc.

4. Study of the effect of potassium bisulphate as food preservative under various

connditions (temperature, concentration, time, etc.)

5. Study of digestion of starch by sailvary amylase and effect of pH and

temperature on it.

6. Comparative study of the rate of fermentation of following materials, wheat

flour, grain flour, potato juice, carrot juice, etc.

7. Extraction of essential oils present in Saunf (aniseed), Ajwain (carum), Illaichi

(cardamom)


8. Study of common food adulterants in fat, oil, butter, sugar, turmeric powder

chilli powder and pepper.

9. Study the properties of diff. types of polymers used in diapers.

10. Comparative study of effects of food colours used in sweets.

11. Study of diffusion of a solid into a liquid.

12. Determination of the minimum quantity of manganese dioxide required as a

catalyst for the preparation of oxygen gas.

13. Determination of rate of flow of solution and liquids horizontally.

14. Investigation of the foaming capacity of different washing soaps and the effect

of addition of sodium carbonate on them.

15. Study of the acidity of different samples of the tea leaves and reasons for the

variation in their taste.

16. Determination of the rate of evaporation of different liquids.

17. Study of effect of metal coupling on the corrosion of iron.

18. Study of the effect of acids and bases on the tensile strength of fibres.

19. Analysis of fruit and vegetable juices for the contents (acids and minerals)

present in them

20. Preparation of rayon threads from various cellulose sources.

21. Study of dyeing fabrics under various conditions.

22. Determination of the dosage of bleaching powder required for disinfection of

different samples of water (taken from different sources).

23. Study of the setting of misture of cement with lime, sand of different qualities,

rice husk, etc. (with respect to time, volume and strength).

24. Study of the presence of insecticide/pesticide (nitrogen containing) in

vegetables and fruits.

25. Study of dialysis of different sewage water samples and identification of

different ions in resulting solutions.

26. Study of constituents of an alloy (any sample easily available may be taken)

27. To study the different ions/minerals present in different brands of cold drinks.

28. To study the amount of carbon dioxide present in different brands of soft

drinks.

29. To study the bacterial contamination in drinking water by testing sulphide ion

30. Testing of hardness, presence of iron, fluoride, chloride etc. depending upon the

regional variation in drinking water and the study of causes of presence of these

ions above permissible limits.

31. To determine C.O.D in the different samples of water of different locality.

32. Test of 'As"(Arsenic) in different vegetables and fruits.

33. To determine the rate of diffusion of different - fluids and factor affecting

rate of diffusion of solids.

34. Comparative study of soaps and detergents available in the market.

35. To test the quality of different brands of Toothpaste by analyzing different

ions

36. Comparative study of antacids and their effects.

37. To show the ill effect of smoking experimentally.


38. Prove experimentally - why herbal cosmetics are better than synthetic one.

39. To study the tests of synthetic milk or mawa.

40. Genereal awareness→ Develop the habit of reading the labels on the medicines

& other chemicals used in household. For eg:

a. Dettol - Commonly used antiseptic contains - Chloroxylenol.

b. Aspirin - Common drug used for relieving pain contains o- hydroxy methyl

salicylate.

c. lodex & Moov - Ointments have oil of winter green.

d. Lizol and other household cleaners have 1 % phenol soln.

e. Crocin, a very common drug for reducing fever contains paracetamol.

f. Packed jam & jellies contain BHA and BHT as antioxidants.

g. The various chemicals used in drugs are added by w/w or w/v ratio.

h. Do you know how a black and white photograph is developed?

i. Generate awareness amongst your peer group as well as neighbourhood

about global warming / water conservation /Rain water Harvesting /

Environmental Pollution/ Noise Pollution.

Life Sciences (BIOLOGY & BIOTECHNOLOGY) → Select the project from below given list and enrolled your title with the subject

teacher. Enrolment for the project title will be done on the basis of first come

first serve.

Scholars 1 and 2

❖ Determination of E. coli contamination in water

❖ A survey on obesity: Reason, effects and remedy.

❖ Assay of acid phosphatase.

❖ Anti-bacterial activity of toothpaste.

❖ The effectiveness of herbal remedies.

❖ Isolation of Rhizobium from root nodules of Legumes.

❖ Dna vaccine.

❖ Detection of Elisa technology.

❖ Sterilization of operation theatre.

❖ Estimation of differential leukocyte cell.

❖ To isolate microorganisms from air.

❖ Isolation of bacteria from curd.

❖ Estimation of protein by various plant parts.

❖ Protein isolation from Casein protein.

❖ Which spice inhibits bacterial growth best?

❖ Determination of bacterial growth in cosmetics.

❖ Analysis of iodine content in different salts.

❖ Effect of UV exposure on yeast growth.

❖ Anthocyanin-more then a natural color.

❖ Microbial growth in fruit juice.

❖ Study of cancer cell-Cancer and issues.

❖ To assay anti-bacterial activity of plants.

❖ Use of Beauveria bassians as a bio-pesticide.


❖ Anti bacterial activity of soaps and hand sanitizers.

❖ Anti bacterial activities of different soaps.

❖ “ Micro-propagation ” tissue culture for mushroom cultivation

❖ Water distillation and management.

❖ Study of Skin infection- Study of Skin micro-flora.

❖ Study of effectiveness of various commercial products.

❖ Natural or manmade Contamination and adulteration in food.

❖ Investigation of urine.

❖ Plant tissue culture.

❖ Human cloning.

❖ Quantitative analysis of protein concentration.

❖ Extraction of microbes from air.

❖ Isolation of Lipolytic organisms from butter.

❖ Gene therapy.

❖ Hepatitis.

❖ Sweet science of Chocolate.

❖ Fermentation technology.

❖ Isolation of antibiotic resistant bacterial colony.

❖ Cell cycle and Cell division.

❖ Biomedical waste segregation and disposal.

❖ Microscopy.

❖ Gene mapping.

❖ Life style and Heart diseases

❖ Extraction of DNA from Onion juice.

❖ Tissue culture of roses.

❖ DNA fingerprinting

❖ Measure the lethal effect of sunlight on UV sensitive yeast DNA

❖ Study of bio-insecticides and pesticides.

❖ “Forensic science “Building our own tool for identifying DNA.

❖ Estimation of DNA from the plant leaf.

❖ Quantitative analysis of whey protein present in different milk sample

❖ Effect of ultraviolet radiation exposure on bacterial culture.

❖ Relative effectiveness of antimicrobial agent.

❖ “Street food” home of impurities.

❖ Pasteurization of milk.

❖ Isolation of microorganisms from air.

❖ Bacterial conjugation.

❖ Androgenic plant production.

❖ Water filtration technology.

❖ Effect of different antibiotics on the growth of microbes in milk.

❖ Genetical techniques.

❖ Stem cell therapy.

❖ Drug addiction.

❖ Study of vitamins.

❖ Stem cell and future of cloning-Good and Bad sides of cloning.

❖ Study of dairy products.


❖ Separation of protein by gel-electophoresis.

❖ Determination of level of glucose in fruits.

❖ Isolation of DNA from blood.

❖ Protein purification by ion exchange chromatography.

❖ Bio-molecular technology.

❖ Presence of insecticides and pesticides in fruits and vegetables.

❖ Visit a Dairy plant to see how the milk is processed and observe pasteurization

process and its benefit over general milk supplied by milkman.

❖ Visit to mineral water plant to know the process of preparing mineral water

❖ If going outside Jaipur, then try to visit famous research laboratories.

❖ Study futuristic clinical therapy for treatment of diseases like AIDS, Cancer

etc. through Internet.

❖ Creating awareness in people regarding microbial contamination of food products

basically in summer.

❖ Prepare PowerPoint presentations on topics related to Biology/Biotechnology.

❖ Visit places like Sanctuary, National park, Zoo, and Museum, to study flora,

fauna and heritage.

❖ Read and appraise yourself with salts given on medicines and ingredients of food

products.

❖ Develop the habit of seeing the manufacturing and expiry date on food products

& medicine before purchase.

❖ Play a Nukkad Natak in your colony to help the people understand about

protection of plants and animals and conservation of our natural resources.

❖ Try to learn about legal laws regarding Consumer Act.

❖ Visits/working diagnostic lab/Research laboratory on plant tissue culture,

hematology, vlc, tlc.

❖ Visit/ working in a forensic science for DNA finger printing, use of

Biotechnological techniques to define paternity, in criminal cases etc.

❖ Watch Discovery channel, National geographic and Animal planets.

❖ Collect information related to Recombinant modified Animals and Plants

(Transgenic animals and plants).

❖ Form a power point presentation on. GMO’s/Pollution/Birds of India/Heritable

diseases in Man

❖ War in future “Prepare a project on it.

❖ Work for conservation of water in this summer in your colony.

❖ Study to find effect of different soaps on microbial activities.

❖ Visit a farm where organic farming is done/ spread information about benefit of

organic food in your colony.

❖ Aware your neighbours for conservation of water and motivate them for water

harvesting.

❖ Prepare notes of some important topics of subject.

❖ Go through some refreshers/ books for competition for MCQ.

❖ Do some reason and assertion type questions in this vacation because these type

of questions comes in some competitive exams.


❖ Grow several bean plants in two separate containers. Water the plants in one

container with fresh water. Water the plants in the other container with salt

water. Observe and describe what happens to the plants in each container.

❖ Visit a diagnostic lab to get knowledge to test the pregnancy through

quantitative detection of hCGH (Gravidex test) in urine.

Computer Science

Scholars-1 ➢ Create a student table with the student id, name, and marks as attributes where the

student id is the primary key. ➢ Insert the details of a new student in the above table. ➢ Delete the details of a particular student in the above table. ➢ Use the select command to get the details of the students with marks more than 80. ➢ Create a new table (name, date of birth) by joining two tables (student id, name) and

(student id, date of birth). ➢ Create a new table (order ID, customer Name, and order Date) by joining two tables

(order ID, customer ID, and order Date) and (customer ID, customer Name, contact Name, country).

Scholars-2 Case Study (development of web content with resources): Mr. Verma is the CEO of copsisoft drinks (I) Ltd. His company is having a wide network of distributors for copsibranded soft drinks. With the increase in sales and distribution network, it is required to adopt a new technological intervention in the existing system. He wants that the company should have a global presence over the widely popular medium, called world wide web. Assume that you are appointed as the senior person of the development team. You are required to collect the company information and its current requirement. For your easiness we had collected the details of the company which are as follows: The company Information: Name of the Company: copsisoft drinks (I) Ltd. Zone: East, West, North and South Distributors: All over the world. Mr. Verma said that the web site [with at least 10 web pages] should be able to reflect company in terms of

• Home Page • Product & Promotion Page • Embed Time and Date on the home page • Distributor Specific Details Page • Registration Page for Distributor-ship • Company News and Flashes Company Profile

Technical Details: Web site Introduction is to be made in MS-PowerPoint. Note: Submit your presentation and website in a CD soon after the vacations.


Informatics Practices Scholars-1

1. Explain functional components of computer with diagram. 2. Explain different Input Devices 3. Explain different Output Devices

Scholars-2 1. Design an application to calculate Restaurant Bill. It should have an option to

calculate discount & Tax. 2. Design an application to calculate net salary of employee. Application should accept

Name of Employee and Basic Salary from user. Calculate net salary, HRA, DA, PF according to given formula.

HRA=15% of Basic Salary DA=50% of Basic Salary PF=10% of Basic Salary Net Salary=Basic salary +HRA+DA-PF

3. Design an application to generate electricity bill. Make Suitable Assumptions. 4. Design an application to generate telephone bill. Make Suitable Assumptions. 5. A book publishing house decided to go in for computerization. You have to design

the front end for the company. You have to accept book code, Title, Author, Quantity sold & Price from the user. Net price should be calculated on the basis of the discount given. Assume Radio Buttons for Discounts.

Bookseller - 25% School - 20% Customer - 5%

Psychology

Scholars-1

❖ Conduct an Attitude Test by using A I S S (Prepare report).

❖ Conduct an Intelligence Test by using S P M.

Schloars-2

❖ Judge the personality traits and types by using H S P Q (Prepare a report with

introduction and discussion)

❖ Measure Aptitude by using D B D A.


Mathematics Scholars-1 1. Write the following sets in a set builder form

(i) (ii)

2. Write the power set of following sets

(i) (ii) (iii)

3. Let U= ,A = ,B= then find

(i)(A-B)’ (ii)A’ B’ (iii) A’ B’

(iv) A’ B’

4. State and Prove D’Morgans Law

5. Find the domain and range of following functions

(i) (ii (iii)

6. Let A = and B= . Let R be the relation defined on A X B such

that

R = .Write R as an ordered pair and find its domain and range.

7. Express 6 radian in to degrees an .

8. Find the value of each of following trigonometric functions

(i) cot ( (ii)cos (iii)tan(-14850)

(iv)sin(4050)

9. Prove that tan(-2250) cot(3150)+ tan(7650) cot (6750) =0.

10. Show that =0

11. If 60% of school going children like milk and 50% of them like cold drinks, find the

percentage of the children who like both.

12. In a class of 35 students, 15 study economics, 22 study B.st and 14 study

accountancy. If 11 students study both economics and B.st, 8 study both B.st and

accountancy, 5 study accountancy and economics, and 3 study all the three subjects.

Find how many students of the class are not taking any of these subjects.


Scholars-2 Matrices and Determinants

1. Solve the following system of equation by matrix method:

2x – y + 3z = 5 3x + 2y – z = 7 4x + 5y – 5z = 9

2. Prove that a+b b+c c+a a b c b+c c+a a+b = 2 b c a c+a a+b b+c c a b 3. Using properties of determinants, show that: 1 a a2-bc 1 b b2-ca = 0 1 c c2-ab 2 -2 -4 4. Express the matrix B = -1 3 4 as the sum of a symmetric and a skew symmetric matrix. 1 -2 -3 5. Solve the following stem of equation using matrix method: 3x + 4y + 2z = 8, 2y – 3z = 3, x -2y + 6z = -2 6. If A = 3 1 show that A2 _ 5A + 7I = 0. Hence find A-1 -1 2 , 7. Prove the following by the principle of Mathematical Induction: If A = 3 -4 then 1 -1 An = 1+2n -4n , when n ε N n 1-2n 8. If A = 0 1 Prove that (aI + bA)n = anI + nan-1bA. Where I is a unit matrix of order 2 and n is a 0 1, positive integer. 9. Using properties of determinants, prove that: a+b+2c a b c b+c+2a b = 2(a+b+c)3 c a c+a+2b


10. If a, b, and c are real numbers, and

b+c c+a a+b c+a a+b b+c = 0 a+b b+c c+a show that a + b + c = 0 or a = b = c. 11. Using properties of determinants evaluate:

x y x+y y x+y x x+y x y 12. Using properties of determinants, prove that:

-bc b2+bc c2+bc a2+ac -ac c2+ac = (ab+bc+ac)3 a2+ab b2+ab -ab

1 3 5 13. Express A = -6 8 3 as the sum of a symmetric and a skew symmetric matrix. -4 6 5 14. By using properties of determinants, show that:

a2+1 ab ac ab b2+1 bc = 1+a2+b2+c2 ca cb c2+1

15. Using properties of determinants, show that: 1 1 1 a b c = (a-b)(b-c)(c-a)(a+b+c) a3 b3 c3 16. If A = 3 2 , find the value of a and b such that A2+Aa+bI = 0, Hence find A-

1 1 1 17. Using properties of determinants, show that:

a-b-c 2a 2a 2b b-c-a 2b = (a+b+c)3 2c 2c c-a-b


18. If A = 0 tan 2

1 0 cos -sin and I = 0 1 ,show that (I+A) = (I-A) sin cos

tan 2

0 19. Using properties of determinants prove that: y+z x y z+x z x = (x+y+z) (x-z)2

x+y y z 20. Prove that a2 2ab b2 b2 a2 2ab = (a3+b3)2

2ab b2 a2

QUESTION BANK Matrices and Determinants (6 Marks Questions)

1) Find the inverse of the matrix A=

c

a

+

c

bc

b

1 and show that aA 1− =(a2 +bc+ 1) I=aA

2) Solve the following equations by matrix method

2x + y + 2z =3 x + y + 2z =2 2x +3y - z= -2

1 2 -3

3) If A= 2 3 2 find A 1− and hence solve the system of linear equations 3 -3 -4 x +2y - 3z = 4

2x + 3y +2z = 2

3x- 3y- 4z =11

4) Show that 1+a 1 1

1 1+b 1 = abc (1 +a

1+

b

1 +

c

1 )

1 1 1+ c 5) Obtain the inverse of the following matrix by using elementary transformations 0 1 2 A= 1 2 3 3 1 1


6) Find A 1− by using elementary row transformations 1 2 3

A= 2 5 7 -2 -4 -5 8) Given 1 -1 1

A= 2 1 -3 , find A 1− and hence solve the system 1 1 1 of equations: x+2y+z =4, -x +y+z= 0,

x - 3y+ z = 2

10) Find the matrix P satisfying the matrix equation

3

2

2

1 P

−

5

3

− 3

2 =

2

1

−1

2

11) Let A=

3

2

−

4

1, B=

7

5

4

2 , C=

3

2

8

5

Find a matrix D, such that CD – AB = 0 12) If A= 3 2 1

4 -1 2 , then find A 1− , and hence solve the system of linear 7 3 -3 equations 3x+ 4y + 2z =14, 2x –y + 3z=4, x+ 2y - 3 z = 0 13) If A= 2 -1 1 and B= 3 1 -1 -1 2 -1 1 3 1 1 2 2 -1 1 3 Find the product AB and use this result in solving the system of linear equations 2x – y + z = -1, -x + 2y –z = 4, x - y+ 2z = -3 14) If A= 2 -1 1 -1 2 -1 , verify that A3 - 6A2 + 9A - 4I=0, hence find A-1

1 -1 2 15) If A= 1 3 3

1 4 3 , verify that A. adj.A= A I. Also find A-1

1 3 4 17) Using the elementary row transformation, find the inverse of the matrix 2 0 -1 5 1 0 0 1 3 18) Find A-1 if A= 1 0 0 0 cos sin

0 sin - cos


19) If A=

−1

3

2

1 , show that A2- 5A +7I=0. Hence find A-1

*********Wish you an enjoyable and happy vacation*********

Mr. Sunil Sharma (Co-ordinator)

Ms. Meenakshi Sharma (Proctor)

Faculty of Science

subodh public school of task_2018-19/time off... · study of the presence of oxalate ions in guava...

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