VIDYASAGAR SCHOOL INDORE

SUMMER ASSIGNMENT-2019-20

CLASS-XII

HINDI [२०१९ -२०२० ]

सी . बी .एस .ई .द्वारा प्रदत्त विषय –‘वहन्दी भाषा और सावहत्य’ पर आधाररत

पररयोजना कायय ।

विद्यार्थी स्िेच्छानुसार विषय का चयन कर 1000 शब्दों में पररयोजना तैयार करेंगे

ENGLISH CORE

1. Do Note-Making of a Passage 2. Collect Classified Columns Advertisement from the Newspaper, paste it in your

Note-book and draft one-one of each category in your own words. Do not exceed 50 words.

3. Design a Poster in not more than 50 words highlighting the importance of Reading and the value of books.

4. Write an article on any one of the topic given below: My Aspirations for the New Millennium Advantages of a Positive Attitude

5. Write a summary (Any One) My Mother at Sixty Six An Elementary School Classroom in a Slum

PHYSICS-CLASS-XII

================================================================== SUBJECT – CHEMISTRY

1. To prepare the given investigatory project under following headings; Front page, certificate, acknowledgement, index, aim , procedure, observations, results, conclusions, utility of the project

2. NCERT text book questions of the given chapters;

Coordination compounds

Halo alkanes and Haloarenes

Alcohol ,Phenol and Ethers

Chemical kinetics

CLASS XII

MATHEMATICS

LINEAR PROGRAMMING

Q.1:A small firm manufactures necklaces and bracelets. The total number of necklaces and

bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half

an hour to make a necklace. The maximum number of hours available per day is 16. If the profit

on a necklace is Rs. 100 and that on a bracelet is Rs. 300. Formulate on L.P.P. for finding how

many of each should be produced daily to maximize the profit? It is being given that at least one

of each must be produced.

Q.2: Solve the above LPP graphically.

Minimize 𝒁 = 𝟓𝒙 + 𝟏𝟎𝒚 Subject to 𝒙 + 𝟐𝒚 ≤ 𝟏𝟐𝟎 The constraints 𝒙 + 𝒚 ≥ 𝟔𝟎

𝒙 − 𝟐𝒚 ≥ 𝟎 𝐚𝐧𝐝 𝒙, 𝒚 ≥ 𝟎

Q.4: There are two types of fertilizers ‘A’ and ‘B’. ‘A’ consists of 12% nitrogen and 5% phosphoric acid whereas ‘B’ consists of 4% nitrogen and 5% phosphoric acid. After

testing the soil conditions, farmer finds that he needs at least 12 kg of nitrogen and 12 kg of

phosphoric acid for his crops. If ‘A’ costs Rs 10 per kg and ‘B’ cost Rs 8 per kg, then graphically determine how much of each type of fertilizer should be used so that nutrient

requirements are met at a minimum cost.

Q. 5. A company manufactures three kinds of calculators: A, B and C in its two factories I and

II. The company has got an order for manufacturing at least 6400 calculators of kind C. The

daily output of factory I is of 50 calculators of kind A, 50 calculators of kind B and 30

calculators of kind C, The daily output of factory II is of 40 calculators of kind A, 20 of kind B

and 40 of kind C. The cost per day to run factory I is Rs 12,000 and of factory II is Rs 15,000.

How many days do the two factory have to be in operation to produce the order with the

minimum cost? Formulate this problem as an LPP and solve it graphically.

Q.6. A manufacturing company makes two types of teaching aids A and B of Mathematic for

class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing.

Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For

fabricating and finishing, the maximum labour hours available per week are 180 and 30

respectively. The company makes a profit of Rs 80 on each piece of type A and Rs 120 on each

piece of type B. How many pieces of type A and type B should be manufactured per week to get

a maximum profit? Make it as an LPP and solve graphically.

What is the maximum profit per week?

Q. 7. A manufacturer considers that men and women workers are equally efficient and so he

pays them at the same rate. He has 30 and 17 units of workers (male and female) and capital

respectively; which he uses to produce two types of goods A and B. to produce one unit of A, 2

workers and 3 units of capital are required while 3 workers and 1 unit of capital is required to

produce one unit of B. if A and B are priced at Rs100 and Rs120 per unit respectively, how

should he use his resources to maximize the total revenue? Form the above as an LPP and

solve graphically. Do you agree with this view of the manufacturer that men and

women workers are equally efficient and so should be paid at the same rate?

Q. 8. A dietician wishes to mix two types of Foods in such a way that the vitamin contents of

the mixture contains at least 8 units of vitamin A and 10 units of vitamin C. Food I contains 2

units/kg of vitamin A and 1 unit/kg of vitamin C while Food II contains 1 unit/kg of vitamin A

and 2 unit/kg of vitamin C. It costs Rs5 per kg to purchase food I and Rs7 per kg to purchase

Food II. Determine the minimum cost of such a mixture. Formulate the above as a LPP and

solve it graphically.

MATRIX AND DETERMINANTS

Q.9. Find the matrix X, such that 2A + 3X = 5B, where 𝐴 = 8 04 −23 6

; 𝐵 = 2 −24 2−5 1

.

Q.10. If 𝐴 = 0 𝑐 −𝑏−𝑐 0 𝑎𝑏 −𝑎 0

𝑎𝑛𝑑 𝐵 = 𝑎2 𝑎𝑏 𝑎𝑐𝑎𝑏 𝑏2 𝑏𝑐𝑎𝑐 𝑏𝑐 𝑐2

, show that AB = BA = O .

Q.11. If 𝑥 4 1 2 1 21 0 20 2 −4

𝑥4−1

= 0 , 𝑓𝑖𝑛𝑑 𝑥.

Q.12. If A = 3 −24 −2

, find k such that 𝐴2 = 𝑘𝐴 − 2𝐼.

Q.13 Find the value of x for which the matrix product 2 0 70 1 01 −2 1

−𝑥 14𝑥 7𝑥0 1 0𝑥 −4𝑥 −2𝑥

is

equal to an

Identity matrix.

Q.14. If 𝐴 = 1 0 20 2 12 0 3

, then show that A is a root of the polynomial 𝑓 𝑥 = 𝑥3 − 6𝑥2 +

7𝑥 + 2.

Q.15.If 𝐴 = 2 0 12 1 31 −1 0

, find 𝐴2 − 5𝐴 + 4𝐼 and hence find a matrix X such that

𝐴2 − 5𝐴 + 4𝐼 + 𝑋 == 𝑶 .

Q.16. A trust fund has Rs. 30000 that must be invested in two different types of bonds. The first

bond

Pays 5% interest per year, and the second bond pays 7 % per year. Using matrix

multiplication,

Determine how to divide Rs. 30000 among two types of bonds. If the trust fund must obtain

an annual

Total interest of (i) Rs. 1800 (ii) Rs 2000.

Q.17. Prove that 3𝑎 −𝑎 + 𝑏 −𝑎 + 𝑐

−𝑏 + 𝑎 3𝑏 −𝑏 + 𝑐−𝑐 + 𝑎 −𝑐 + 𝑏 3𝑐

= 3 𝑎 + 𝑏 + 𝑐 𝑎𝑏 + 𝑏𝑐 + 𝑐𝑎 .

Q.18.Prove that 1 + 𝑎2 − 𝑏2 2𝑎𝑏 −2𝑏

2𝑎𝑏 1 − 𝑎2 + 𝑏2 2𝑎2𝑏 −2𝑎 1 − 𝑎2 − 𝑏2

= 1 + 𝑎2 + 𝑏2 3.

Q.19. If x + y + z = 0, then prove that

𝑥𝑎 𝑦𝑏 𝑧𝑐𝑦𝑐 𝑧𝑎 𝑥𝑏𝑥𝑏 𝑥𝑐 𝑦𝑎

= 𝑥𝑦𝑧 𝑎 𝑏 𝑐𝑐 𝑎 𝑏𝑏 𝑐 𝑎

Q.20. Prove that 𝑏2 + 𝑐2 𝑎2 𝑎2

𝑏2 𝑐2 + 𝑎2 𝑏2

𝑐2 𝑐2 𝑎2 + 𝑏2

= 4𝑎2𝑏2𝑐2.

Q.21. If 4 − 𝑥 4 + 𝑥 4 + 𝑥4 + 𝑥 4 − 𝑥 4 + 𝑥4 + 𝑥 4 + 𝑥 4 − 𝑥

= 0 , then find the value of x.

Q.22. If

1 𝑥 𝑥 + 12𝑥 𝑥(𝑥 − 1) 𝑥(𝑥 + 1)

3𝑥(1 − 𝑥) 𝑥 𝑥 − 1 (𝑥 − 2) 𝑥 𝑥 + 1 (𝑥 − 1) = 6𝑥2 1 − 𝑥2 .

Q.23. If 𝑓 𝑥 = 𝑎 −1 0𝑎𝑥 𝑎 −1𝑎𝑥2 𝑎𝑥 𝑎

, find the value of 𝑓 2𝑥 − 𝑓 𝑥 .

Q.24. If 𝐴 + 𝐵 + 𝐶 = 0 , then prove that 1 𝑐𝑜𝑠𝐶 𝑐𝑜𝑠𝐵

𝑐𝑜𝑠𝐶 1 𝑐𝑜𝑠𝐴𝑐𝑜𝑠𝐵 𝑐𝑜𝑠𝐴 1

= 0 .

Q.25. Prove that 𝑎2 + 2𝑎 2𝑎 + 1 12𝑎 + 1 𝑎 + 2 1

3 3 1

= 𝑎 − 1 3 .

RELATIONS AND FUNCTIONS

(26) Let A = 1,2,3,4, … ,9 and R be the relation in A× A defined by (a, b) R

(c, d), if a + d = b + c for (a, b), (c, d) in A× A. Prove that R is an

equivalence relation

(27) Consider f: R+ → (-9, ∞) given by f(x) = 5x2 + 6x – 9. Prove that f is

invertible with f(y) = 5𝑦+54− 3

5

(28) Let A = { 1 , 2, 3, …. , 9 } and R be the relation in A × A defind by ( a , b ) R ( c , d )

if a + d = b + c for a , b , c , d ∈ A . Prove that R is an equivalence relation. Also obtain the

equivalence class [ (2 , 5 ) ].

(29) Let A = R - {3}. Consider the function f: A → 𝐵 defined by f(x) = 𝑥−2

𝑥−3 .Show that f is

one –one and onto and hence find f-1

.

(30). Show that the relation R in the set Z of integers given by R = {(a, b): 2 divide

a – b} is an equivalence relation

(31) If sin sin−1 1

5+ cos−1 𝑥 = 1, then find the value of x

(32) Prove that tan−1 1

7 + tan−1 1

13 = tan−1 2

9

(33) Prove that 4tan−1 1

5 - tan−1 1

70+ tan−1 1

99 =

𝜋

4

(34) Solve for x: tan−1 2𝑥 + tan−1 3𝑥 = 𝜋

4

(35) Prove that tan−1 1+𝑥 − 1−𝑥

1+𝑥 + 1−𝑥 =

𝜋

4 -

1

2cos1 𝑥

(36) Solve for x: sin−1(1 − 𝑥) - 2sin−1 𝑥 = 𝜋

2

(37) Draw graphs for sin−1 𝑥 , cos−1 𝑥, tan−1 𝑥 , cosec−1 𝑥 , sec−1 𝑥 , cot−1 𝑥 ,

and writes their domain and range

(38) Write all formulae of inverse trigonometry.

(39) Evaluate: sin2 coses−1 1+𝑥2

1−𝑥2 + cos2 tan−1 1−𝑥2

2𝑥

(40) Prove that tan−1 1

3 +tan−1

1

5 + tan−1

1

7 + tan−1

1

8 =

𝜋

4.

XII- COMPUTER SCIENCE (C++) – SUMMER ASSIGNMENT 2019-20

1. Consider the following tables Stationary and Consumer. Write SQL commands for the

statement (i) to (iv).

Table: Stationary

S_ID

StationaryName

Company

Price

DP01

Dot Pen

ABC

10

PL02

Pencil

XYZ

6

ER05

Eraser

XYZ

7

PL01

Pencil

CAM

5

GP02

Gel Pen

ABC

15

Table: Consumer C_ID

ConsumerName

Address

S_ID

01

Good Learner

Delhi

PL01

06

Write Well

Mumbai

GP02

12

Topper

Delhi

DP01

15

Write & Draw

Delhi

PL02

16

Motivation

Bangalore

PL01

(i) To display the details of those consumers whose Address is Delhi. (ii) To display the details of Stationary whose Price is in the range of 8 to 15.

(Both Value included)

(iii) To display the ConsumerName, Address from Table Consumer, and Company and

Price from table Stationary, with their corresponding matching S_ID.

(iv) To increase the Price of all stationary by 2. Write the output for SQL queries (v) to (viii):

(v) SELECT DISTINCT Address FROM Consumer;

(vi) SELECT Company, MAX(Price), MIN(Price), COUNT(*) from Stationary GROUP

BY Company;

(vii) SELECT Consumer.ConsumerName, Stationary.StationaryName, Stationary.Price

FROM Strionary, Consumer WHERE Consumer.S_ID=Stationary.S_ID;

(viii) Select StationaryName, Price*3 From

Stationary;

2. Consider the following tables SCHOOL and ADMIN. Write SQL commands for the statements (i) to (iv) and give outputs for SQL queries (v) to (viii).

SCHOOL

CODE

TEACHERNAME

SUBJECT

DOJ

PERIODS

EXPERIENCE

1001

RAVI SHANKAR

ENGLISH

12/03/2012

24

10

1009

PRIYA RAI

PHYSICS

03/09/2006

26

12

1203

LISA ANAND

ENGLISH

09/04/2009

27

5

1045

YASHRAJ

MATHS

24/08/2014

24

15

1123

GANAN

PHYSICS

16/07/2001

28

3

1167

HARISH B

CHEMISTRY

19/10/2000

27

5

1215

UMESH

PHYSICS

11/05/2012

22

16

ADMIN

CODE

GENDER

DESIGNATION

1001

MALE

VICE PRINCIPAL

1009

FEMALE

COORDINATOR

1203

FEMALE

COORDINATOR

1045

MALE

HOD

1123

MALE

SENIOR TEACHER

1167

MALE

SENIOR TEACHER

1215

MALE

HOD

i) To display TEACHERNAME, PERIODS of all teachers whose periods less than 25.

ii) To display TEACHERNAME, CODE and DESIGNATION from tables SCHOOL and ADMIN whose gender is male.

iii) To display number of teachers in each subject wise. iv) To display CODE, TEACHERNAME and SUBJECT of all teachers who have joined the school

after 01/01/1999. v) SELECT MAX (EXPERIENCE), SUBJECT FROM SCHOOL GROUP BY SUBJECT; vi) SELECT TEACHERNAME, GENDER FROM SCHOOL, ADMIN WHERE DESIGNATION =

‘COORDINATOR’ AND SCHOOL.CODE=ADMIN.CODE; vii)SELECT DESIGNATION, COUNT (*) FROM ADMIN GROUP BY DESIGNATION

HAVING COUNT (*) <2; viii) SELECT COUNT (DISTINCT SUBJECT) FROM SCHOOL; 3.a.Verify X’.Y+X.Y’ =(X’+Y’).(X+Y) algebraically.

b. . Verify the following algebraically: (A’+B’).(A+B)=A’.B+A.B’

c. State DeMorgan’s Laws of Boolean Algebra and verify them using truth table.

d. Write the equivalent expression for the following logical circuit:

e. Derive a Canonical POS expression for a Boolean function G, represented by the following truth table:

f. Reduce the following Boolean Expression using K-map : F (X, Y, Z, W) =π (

0,1,3,4,5,7,9,10,11,13,15)

g. Obtain the minimal SOP form for the following boolean expression using K-Map. F(w,x,y,z) = (0,2,3,5,7,8,10,11,13,15)

4. Define a class Customer with the following specifications. Private Members : Customer_no integer Customer_name char (20) Qty integer Price, TotalPrice, Discount, Netprice float Member Functions: Public members: * A constructer to assign initial values of Customer_no as 111,Customer_name as “Leena”, Quantity as 0 and Price, Discount and Netprice as 0. *Input( ) – to read data members(Customer_no, Customer_name, Quantity and Price) call Caldiscount(). * Caldiscount ( ) – To calculate Discount according to TotalPrice and NetPrice TotalPrice = Price*Qty TotalPrice >=50000 – Discount 25% of TotalPrice TotalPrice >=25000 and TotalPrice <50000 - Discount 15% of TotalPrice TotalPrice <250000 - Discount 10% of TotalPrice Netprice= TotalPrice-Discount *Show( ) – to display Customer details.

5. Define a class Sports in C++ with following descriptions: Private members:

S_Code of type long

S_Name of type character array (String)

Fees of type integer

Duration of type integer

Public members: Constructor to assign initial values of S_Code as 1001, S_Name as “Cricket”, Fees as 500,

Duration 70

A function NewSports() which allows user to enter S_Code, S_Name and Duration. Also assign the values to Fees as per the following conditions:

S_Name

Fees

Table Tennis

2000

Swimming

4000

Football

3000

A function DisplaySports() to display all the details.

Accountancy XII

(1) Project work : Based on Accounting Process

30-35 Business Transactions for one month based on real business activities (including GST): recording in Journal, post them into Ledger and summaries them and prepare Final Accounts.

(2) Practical Problems from Reference book : Author T.S Grewal

(a)Chapter : Not for Profit Organization

Q. No. 5,8,14,17,25,26,44,51

(b) Chapter : Company Accounts : Issue of Shares

Q. No. 15,19,24,26,43.52,60,71,82

(c) Chapter : Issue of Debentures

Q. No. 8,9,16,30,31

(d) Chapter : Redemption of Debentures

Q. No. 12,14,20,23,30,34

WORK SHEET CLASS XII SUBJECT – BIOLOGY

Q.1 Define apomixisis. Mention any two applications of apomicts in hybrid seed industry. How is it

different from polyembyony? Q.2 Mention the difference in ploidy of zygote and primary endosperm nucleus in angiosperm. Q.3 How does the floral; pattern of Mediterranean orchid, Ophrys ,guarantee cross pollinmation? Q.4 Write the cellular contents carried by pollen tube. How does the pollen tube gain entry into embryo sac? Q.5 Name the product of fertilization that forms kernel of coconut. How does the kernel differ from coconut water? Q.6 Mention the similarity between autogamy and geitonogamy. Q.7 A single pea plant in your kitchen garden produces pods with viable seeds but an individual Papaya plant does not. Explain. Q.8 Gynoecium of a flower may be apocarpus or syncarpus. Explain with the help of an example each. Q.9 Out of Papaya plants growing in your garden, only a few bear fruits. Give reason. Q.10 Name the organic material present in exine of pollengrain. How is it advantageous?

BIOTECHNOLOGY WORKSHEET

CLASS XII

1. Define the term recombinant DNA technology.

2. c-DNA library contains information about expressed genes only. Justify giving reasons.

3. Describe three vectorless DNA transfer methods.

4. Write the essential features of a vector.

5. Name three enzymes used in cloning and write functions of each.

6. Which vector type is used to clone 30-40 kbp insert?

7. Explain the southern hybridization technique with labeled diagram.

8. Write the principle involve in sangers method of DNA sequencing.

9. Explain the method of insertional inactivation used for identification of the

recombinant.

10. Write the importance of genomic and c -DNA library.

CLASS XII POLITICAL SCIENCE 1. Make a project on entire election procedure starting from announcement of election date by

the Election Commission to the declaration of the result of current Lok Sabha elections 2019.

2. Support each of the step with the help of newspaper clippings.

3. Give complete analysis of the result with the help of data shown on bargraph.

4. Economics (class-XII) Guidelines for project work in Economics

1) Analyse and evaluate real world economic scenarios using theoretical constructs and

arguments.

2) Project should be of 3500 to 4000 words preferably hand written.

Scope of the project:

# Collection of the research material

# Organisation of the material

# Present material

# Analysing the material for conclusion

# Presentation of the project work

Worksheet for class XII

1) Comment on the economic condition of the tiller of the soil at the time of

independence.

2) Write brief introduction on Prof. Mahalanobis.

3) What is industrial licensing? How does it impact on allocation of resources?

4) What is Government Budget? Explain its objectives.

5) Explain the process of credit creation by commercial bank.

6) Write difference between appreciation and revaluation of currency.

HOLIDAYS ASSIGMENT

CLASS-XII

SUBJECT:- INFORMATICS PRACTICES-065

Note:- Students should choose any one topic according to their choice and convenience. Please

collect all information related to your topic and analysis should be prepared.

TOPICS:-

Online Accounting System (Like Tally Software)

Online Students Management System

Airline Reservation System

Payment Billing System

Hospital Management System

Online Library Management System

1. PROJECT WORK –Analysis 2. Project Output and Input Design based on analysis 3. Project Source Code

Sub: Physical Education Class: XII

Q1. Write History, Rules, Regulation, and Terminologies, personalities of your

opted Game and draw a neat and clean diagram of your play field Area? (In a

Practical File)

Q2. Define strength? Explain its types and Training methods for strength

Development?

Q3. Write role of speed in Games and sports? Explain its types and Training

methods for Speed Development?

Q5.What is Projectile? Explain Factors Affecting Projectile?

Q6.Write Laws of motion and it’s Application in Sports?

Q7.What is Planes and Axes? Explain its types?

Q8.Explain following types of movement with their Diagram (i) Flexion (ii)

Extension (iii) Abduction (iv)Adduction (v) Elevation (vi) Circumduction?

Q9. Write name and Functions of Muscles which is involved in Running and

Jumping?

Q10.What is Flexibility? Explain its types and Training methods for Flexibility

Development?

Q11.What is Oppositional Defiant Disorder (ODD)? Write its signs and symptoms.

PSYCHOLOGY – XII

Q1. Visit any school of “differently- abled children” and find out the teaching procedures and the

therapies used to cure/ treat the students.

Q2. Write a case study on any one of the psychological disorders commonly present in the population

today.

Q3. Name the different neurotransmitters present in the brain and describe their role in the making of

our personality.

Q4. Describe in detail ‘CBT’.

Sub.-Business Studies (054)

Chapter-1 Q.1 ‘ Management is the process of getting things done’ state the meaning of the term process used in this statement. Q.2 At what level of management the manager is responsible for the welfare and survival of the organization. Q.3 Explain Management as a Profession by comparing it with the features of Profession. Q.4 Explain Management Hierarchy with diagram. Q. 5 Write any five features of Management. Chapter-2 Q.1 Fayol pointed out the danger and cost of unnecessary labour turnover in one of the principles of management. Name the principle. Q.2 Explain Differential Piece Wage System and work study as a technique of Scientific Management. Q.3 Explain the following principles of Management given by Fayol: (i) Scalar Chain (ii) Equity (iii) Espirit De Corps (iv) Order Q.4 Differentiate between Taylor and Fayol’s contribution on the following points: Perspective, focus of major contribution, expression and applicability. Chapter-3 Q.1 What is meant by Business Environment? Q.2 Write any four features of Business Environment. Q.3 Explain LPG Policy and its impact on Indian Economy. Q.4 Explain all five dimensions of Business Environment with examples. Chapter-4 Q.1 Define Marketing Management? Q.2 what is the main focus of Marketing Concept? How is it differ from Societal Concept? Q.3 Explain Marketing Mix. What are its four variables? Explain in brief.

Subject – Entrepreneurship

Project work on market survey

Presentation preparation on an Indian entrepreneur

Explain innovative and creative process

What is economic activities? Classify

Formalities of sole proprietorship

Class-XII Subject-Geography

I. Locate the following on the political map of India- 1. The leading producing states of the following crops- Rice, wheat, jowar, cotton, Jute, Sugarcane, Tea and Cotton. 2. Mines- Iron-ore mines: Mayurbhanj, Bailadia, Ratnagiri,Bellary.