KENDRIYA VIDYALAYA NARELA, DELHI – 40गरीषमावकाश गहकारय 2017-18

SUMMER VACATION HOME WORK 2017-16 CLASS 12

Subject: PHYSICS

हिहदी गरीषमावकाश गहकारयसतर – 2017-18

ककषा – 12 वी1) निबध लख –

1.काल कर सो आज कर।2.लोकततर की चौनितरया।3.मनिहला सशकति,करण।4.मरा नि.रय लखक।5.हर-भर पडो स भरा वातावरण।

2) पठि4त पा4ो का भाव सामरय अप शबदो म कतिलखिखए।3) कोई पाच औपचारिरक पतर कतिलखिखए।4) आलख लख –

1.आदश राजीनित कसी हो।2.निवजञापो की लभावी दनिरया।3.सवचछ भारत अभिभरया।4.जररी ह जल की बचत।5.पलासटिसEक- एक खतराक जहर।

Holidays Homework of Accountancy2017-18

1 Revise chapter - 1 to 4 for test 2 Complete the chapter - 4 in notebook 3 Do scanner problems of chapter -1 to 4

4 Read& learn ch-1& 2 of analysis of financial statements 5 Make a project on comprehensive problem o starting from recording of transactions to balance sheet ( record transactions , journal , ledger, trial balance , financial statement ) ..

KV NARELAHolidays Homework of Business studies

2017-181 Revise chapter 1 to 3.2 Complete the chapter 2 & 3 in notebook.3 Explain the significance of principles of management.4 Explain the characteristics of a profession on the basis of which management can be recorded as a profession.5 Management is a series of continuous interrelated functions Comment .6 Discuss the following technique:-

a) Simplification & standardized of work b) Fatigue study c) Method study

7 How is principle of unity of command useful to management? Explain briefly.8 If an organization does not provide the right place for physical & human resources in the organization, which principle is violated? & what are the consequences of it?9 Explain the principle of scalar chain & gang plank.10 Do all the extra questions which were given in the classroom.11 Make a project on principles of management.

Computer Science: (083)Ques1: Rewrite the following C++ code after removing any/all syntactical errors with each correction underlined.Note: Assume all required header files are already being included in the program.

#define Formula(a,b) = 2*a+b

void main()

float X=3.2;Y=4.1;Z=Formula(X,Y);cout<<’Result=’<<Z<<endl;

Ques2: Write any four important characteristics of Object Oriented Programming? Give example of any one of the characteristics using C++.

Ques3: Find and write the output of the following C++ program code. Note: Assume all required header files are already included in the program.

typedef char STRING[80];void MIXITNOW(STRING S)

int Size = strlen(S) ;for (int I = 0; I < Size1 ; I += 2)

char WS = S[I] ;S[I] = S[I + 1] ;S[I+1] = WS ;

for (I = 1; I < Size ; I += 2)if (S[I] >= ’M’ && S[I] <= ’U’)S[I] = ’@’ ;

void main()

STRING Word = ”CRACKAJACK” ;MIXITNOW(Word);cout << Word << endl;

Ans RCCAAKAJKC Dear students, you have to find how this output came? Write the work out that you will do to find the same output.

Ques4: Find and write the output of the following C++ program code: Note: Assume all required header files are already being included in the program.

class Stock

long int ID;float Rate; int Date ;public:Stock()ID = 1001;Rate = 200; Date = 1;void RegCode(long int I, float R)ID=I; Rate = R ;void Change(int New,int DT) Rate += New; Date = DT;void Show() cout << ”Date :” << Date<< endl; cout << ID<<”#” << Rate<< endl;

;void main()

Stock A,B,C;A.RegCode(1024,150) ;B.RegCode(2015,300) ;B.Change(100,29) ;C.Change(20,20) ;

A.Show();B.Show();C.Show();

Ques 5: Differentiate between Constructor and Destructor functions giving suitable example using a class in C++. When does each of them execute?

Ques 6: Observe the following C++ code and answer the questions (i) and (ii). Assume all necessary files are included:

class FICTION

long FCode;char FTitle[20];float FPrice;public:FICTION() //Member Function 1

cout<<”Bought”<<endl;FCode=100;strcpy(FTitle,”Noname”);FPrice=

50;FICTION(int C,char T[],float P) //Member Function

2

FCode=C;strcpy(FTitle,T);FPrice=P;

void Increase(float P) //Member Function 3

FPrice+=P;void Show() //Member Function 4

cout<<FCode<<”:”<<FTitle<<”:”<<FPrice<<endl;~FICTION() //Member Function 5cout<<”Fiction removed!”<<end1;

;void main() //Line 1 //Line 2

FICTION F1,F2(101,”Dare”,75); //Line 3for (int I=0;I<4;I++) //Line 4 //Line 5F1.Increase(20);F2.Increase(15); //Line 6F1.Show();F2.Show(); //Line 7 //Line 8

//Line 9

1. Which specific concept of object oriented programming out of the following is illustrated by Member Function 1 and Member Function 2 combined together? Data Encapsulation Data Hiding Polymorphism Inheritance

2. How many times the message ”Fiction removed!” will be displayed after executing the above C++ code? Out of Line 1 to Line 9, which line is responsible to display the message ”Fiction removed!”?

Ques 7: Given a string, Write a C++ program to reverse given string using stack. For example “PracticalExam” should be converted to “mxaElacitcarP”.

Ques 8: Write notes in your School Work Note Book of the chapter “Inheritance”. (For any problem contact your Computer Teacher Mr. A. Nasra.)

MATHEMATICSTOPIC-DETERMINANTS

SECTION A(ONE MARK)

1. If A is a square matrix of order 3×3 such that |A|=−2.Then find the value of |adjA|

2. . Given that x= -9 is the root of

|x 3 72 x 27 6 x

|=0, what are the other two roots?

SECTION B(TWO MARKS)

3. Solve the equation |3 x−8 3 33 3 x−8 33 3 3x−8|=0

4. What is the value of|3 I 3|? 5. If is a square matrix of order 3 such that , write the value of .

SECTION C (FOUR MARKS)

6.Show that

|b+c c+a a+bc+a a+b b+ca+b b+c c+a

|=2( a+b+c )(ab+bc+ca−a2−b2−c2

7. If a2+ b2+ c2 =0 and b2+c2 ab acab a2+c2 bcac bc b2+a2

= k a2 b2c2, then what is the value of k.

8. A school wants to award its students for the values of honesty regularity and hard work with a total cash award of Rs 9000.Three times the award moneyfor hard work added to thatgiven for honesty amounts to Rs 16500. The award moneygiven for honesty and hard work together is double the onegiven for regularity. Represent the above situation algebraically and find the award money for each values. Suggest one more value which the school must include for awards.

9. If x,y, z are all different and x3 ( x+ p)3 (x−p)3

y3 ( y+ p)3 ( y−p)3

z3 (z+ p)3 (z−p)3 = 0, prove that

p2(x + y + z) = 3xyz.

10. If a+ b +c = 0, solve for x:

a−x c bc b−x ab a c−x

= 0.

11. Using properties of determinants, prove that

| 1 1 1α β γβγ γα αβ| = (α−β ¿(β−γ )(γ−α).

SECTION D (SIX MARKS)

12. Given that A = [−4 4 4−7 1 35 −3 −1] and B = [1 −1 1

1 −2 −22 1 3 ], find AB and use it to solve te system of

equation: x – y +z = 4, x – 2y- 2z = 9, 2x + y + 3z =1.

13. If a, b, c are all different and

¿ = 0, then find the values of x.

14.Three shopkeepers A, B, C are using polythene, handmade bags (prepared by prisoners), and newspaper’s envelope as carry bags. it is found that the shopkeepers A, B, C are using (20,30,40) , (30,40,20,),(40,20,30) polythene , handmade bags and newspapers envelopes respectively. The shopkeepers A, B, C spent Rs.250, Rs.220 & Rs.200 on these carry bags respectively .Find the cost of each carry bags using matrices. Keeping in mind the social &environmental conditions, which shopkeeper is better? & why?

Topic-Determinent

Section ‘A’ (one mark each)

1. If A and B are square matrices of order 3 such that |A| = -2 and |B| = 3, find the value of |5AB|.

2. .If A and B are square matrices of the same order such that |A|=3∧AB=I ,then write the value of |B|.

Section ‘B’ (2 mark each)

3. . If A= [0 ii 1] andB=[0 1

1 0] , Find the value of |A|+|B|

4. .

5. . If A= [1 23 −1] andB=[1 −4

3 −2] , Find the value of |AB|

6. A matrix A of order 3x3 has determinant 5 .what is the value of |3 A|?

7.|sin 10 ° −cos10 °sin 80 ° cos80 ° ||

Section C’ (4 mark each)

8. Using properties of determinant, prove that

|a2+1 ab acba b2+1 bcca cb c2+1|=a2+b2+c2+1

9. By using properties of determinants show that

|x+ y+2 z x yz 2x+ y+z yz x x+2 y+ z| = 2(x+ y+z)3

10. Using properties of determinants. Show that

|b+c a ab c+a bc c a+b|=4abc

11. Given that x= -9 is the root of

|x 3 72 x 27 6 x

|=0, what are the other two roots?

12. Prove that |1+a 1 11 1+b 11 1 1+c|=abc(1+ 1

a+

1b+

1c) =abc+ab+bc+ac

Section ‘D’ (6 marks each)

13.|(b+c )2 ba caab (c+a )2 cbac bc (a+b )2| ¿2abc (a+b+c )3 .

14.|1+a 1 11 1+b 11 1 1+c|=abc(1+ 1

a+

1b+

1c )=abc+bc+ca+ab .

15. |x x2 1+ p x3

y y2 1+p y3

z z2 1+ p z3|=(1+ pxyz ) ( x− y ) ( y−z ) ( z−x ) . C

(MATRICES )

SECTION-A (1MARK)

1. . If [2x+1 5 x0 y2+1]=[ x+3 10

0 26 ] .find the value of (x+y).

2. Construct a 3×2matrix, whose elements a ij are given by a ij=

i+4 j2 .

SECTION-B(2MARKS)

3. IfA=[ 3 4

−4 −3 ] , find f(A), where f ( x )=x2−5x+7 .

4. Find X and Y, given that 3 X−Y=[ 1 −1

−1 1 ] and X−3Y=[0 −1

1 −1 ] .5.Find the value of x-y+z from the equation [ x+ y+z

x+zy+z ]=[957]

SECTION-C(4MARKS)

6. Let A =[ 2 3−1 2] then show that A2-4A+7I=O and also calculate A5.

7. LetA=[cosϑ sinϑ

−sin ϑ cosϑ ], show by principle of Mathematical Induction that

An=[cosnϑ sinnϑ−sin nϑ cos nϑ ] for every positive integer n.

8. Express the following matrix as the sum of a symmetric and skew-symmetric matrix:

[ 6 1 −5−2 −5 4−3 3 −1 ]

9.Find the matrix A satisfying the matrix equation

10. Find x,y if 2[ x 57 y−3] +[3 4

1 2]=[ 7 1415 14 ]

11. If A,B,C are three matrices such that A=[ x y z ] . B=[a h gh b fg f c ] ,C=[ xyz ]

SECTION-D(6MARKS)

12. If the¿=[5 2 xy z −34 t −7] is a symmetric ¿ find x , y , z∧t

13.Using elementary transformations, find the inverse of the following matrix:

A=[ 2 −1 3−5 3 1−3 2 3]

14. Let

A=[ 0 − tan α2

tan α2

0 ]and I the identity matrix of order 2, show that

I+A=( I−A )[cos α −sin αsin α cos α ]

(MATRICES )

SECTION-A (1MARK)

1.If A = , find x, 0<x< where A+A´ = I.

2.If A and B are symmetric matrices of the same order, write whether AB – BA Is symmetric or skew symmetric.

SECTION-B(2MARKS)

3. IfA=[ 1 0

−1 7 ], find k such thatA2−8 A+kI=0 .

4.Express A as a sum of symmetric and a skew symmetric matrix.

A =[ 1 5−1 2]

5. Matrix A has x rows and x+5 columns. Matrix B has y rows and 11-y columns. Both AB and BA exist. Find the values of x and y.

SECTION-C(4MARKS)

6.Find x,y,z If A = [0 2 y zx y −zx − y z ] , satisfies A’ =A-1

7.Use the product A= [1 −1 20 2 −33 −2 4 ] [−2 0 1

9 2 −36 1 −2] to solve the system of equations

x-y+2z = 1, 2y – 3z= 1, 3x-2y+4z = 2

8.Solve for x : [ 1 x 1 ] [ 1 3 22 5 1

15 3 2][12x ]=O

9. Express the following matrix as the sum of a symmetric and skew-symmetric matrix:

[ 1 3 5−6 8 3−4 6 5 ]

10. Let A =[ 2 3−1 2] then show that A2-4A+7I=O and also calculate A5.

11. Find the matrix X such that [ 2 −10 1

−2 4 ]X=[−1 −8 −103 4 0

10 20 10 ] SECTION-D(6MARKS)

12. . If A=[cos x+sinx √2 sinx−√2 sinx cos x−sin x ]Prove that

An¿ [cosn x+sinnx √2 sinnx−√2 sinnx cosnx−sinnx ]

13.Using elementary transformations, find the inverse of the following matrix:

[ 1 2 32 5 7

−2 −4 −5 ]14.Three shopkeepers A, B, C are using polythene, handmade bags (prepared by prisoners), and newspaper’s envelope as carry bags. it is found that the shopkeepers A, B, C are using (20,30,40) , (30,40,20,),(40,20,30) polythene , handmade bags and newspapers envelopes respectively. The shopkeepers A, B, C spent Rs.250, Rs.220 & Rs.200 on these

carry bags respectively .Find the cost of each carry bags using matrices. Keeping in mind the social &environmental conditions, which shopkeeper is better? & why?

ECONOMICS CLASS –XII

1. Chapter – Introduction Revise the contents of the lesson eg.central problems,PPC,MOC , Shifting in the PPC,

2. Chapter – Consumer Equilibrium

Revise Cardinal and ordinal utility approach,Total utility,Marginal utility, Relation between TU and MU, Law of Diminishing Marginal Utility, Consumer equilibrium in case of single and Two commodities through cardinal utility approach, Propertities of IC ,Budget line and shifting of budget line.3. Chapter – Theory of Demand

Law of demand, factors affecting the demand, Change in quantity demand and change in demand, Extention and contraction in demand. Effect on demand with change in income.4. Chapter – Elasticity of demand

Methods of measuring price elasticity of demand (1) Percentage and Geometric methods. Degree of price elasticity of demand , factors affecting the price elasticity of demand. At least 40 numerical of the lessons.