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MAHAVEER PUBLIC SCHOOL

HOLIDAY HOMEWORK

CLASS XII

SUBJECT: ENGLISH (CORE)

1. Prepare a PPT on the following using your creativity from the Extended

Reading Text :

‘The Invisible Man’

1.1 Theme and plot

1.2 Major Characters of Dr. Kemp, Mr. Thomas Marvel, Griffin and

Mrs. Hall.

1.3 Major incidents :

(a) Arrival of the invisible man’s luggage

(b) The Burglary at Vicarage

(c) Meeting of Griffin with Dr. Kemp

Invisible man’s coming to visibility

SUBJECT - PHYSICS

1. INVESTIGATORY PROJECT BASED ON ANY TOPIC OF THE SYLLABUS[ CHART OF THE PROJECT, WORKING MODEL IF POSSIBLE, PROJECT FILE]

2. UNIT 1: ELECTROSTATICS, UNIT 2: CURRENT ELECTRICITY, UNIT 3: MAGNETIC EFFECTS OF ELECTRIC CURRENTS [REWISE THEORY PART OF ALL THESE UNITS AND PRACTICE NUMERICAS FROM NCERT AND ANY REFERENCE BOOK.

SUBJECT : CHEMISTRY

A-Inorganic chemistry

1-Chapter 1—Solid State

i) In text questions

ii) Solved examples

iii) Exercise (20 questions)

2-Chapter 9---Coordination Compounds


ii) Solved examples


B-Physical Chemistry

1-Chapter3--- Solutions


ii) Solved examples


C-Organic Chemistry

1-- IUPAC Nomenclature of following:

i) 10 examples of each kind of functional group (single)

ii) 5 examples of compounds containing two types of functional groups

iii) 5 examples of compounds containing more than two types of functional groups.

iv) 5 examples of cyclic compounds

iv) 10 examples of aromatic compounds.

v) D-INVESTIGATRY PROJECT

SUBJECT :BIOLOGY

1. Select any topic for the project for final practical examination. Prepare a complete report along

with photographs and bibliography.

2. Select the board examination questions from the sample papers for the chapters1-4, 8 & 9.

Write the answer in your class note book along with labeled diagrams.

SUBJECT :MATHEMATICS

Q.1 Prove that tan−1 15+tan−1 1

7+ tan−1 1

3+ tan−1 1

8=π

4 . (Delh i2016 )

Q2 .Evaluate : tan [2 tan−1(15 )+ π

4 ] ( AJMR2015 )

Q.3 Prove that 2 tan−1(15 )+sec−1( 5√2

7 )+2 tan−1(18 )=π

4(Delh i2014 )

Q.4 Write the value of cos−1(−12 )+2 sin−1( 1

2 ) (Foreign2014 )

Q.5. Prove that : cot−17+cot−1 8+cot−1 18=cot−13 (Foreign2014 )

Q.6 Write the principal value of tan−11+cos−1(−12 ) (Delh i2013 )

Q.7 Write the value of tan−11+cos−1(−12 ) (Delh i2013 )

Q.8 Prove that: tan−1( 12 )+tan−1(1

5 )+tan−1( 18 )= π

4(Delh i2013 )

Q.9 If ( tan−1 x )2+( cot−1 x )2=5 π2

8, then find x.(Delh i2015 )

Q.10 If 2 tan−1 (cosθ )=tan−1 (2cosec θ ) , θ ≠0, then find the value of θ(Foreign2015 )

Q.11 Ifsin [sin−1 15+cos−1 x ]=1, then find the value of x. (Delh i2014 )

Q.12 Prove that:cot−1( √1+sin x+√1−sin x√1+sin x−√1−sin x )= x

2; xϵ (0 , π4 )(Delh i 2014 )

Q.13 Prove that:tan−1[√1+x−√1−x√1+x+√1−x ]=π

2−1

2cos−1 x,

−1√2

≤x ≤1 ( All India2014 )

Q.14 If tan−1( x−2x−4 )+ tan−1( x+2

x+4 )=π4 , find the value of x . ( All India2014 )

Q.15 If tan−1 x+ tan−1 y=π4, xy<1, then write the value of x+ y+xy.

( All India 2014 )

Q.16Solve for x:cos ( tan−1 x )=sin (cot−1 34 )( All India 2013 )

(Foreign2014 )

Q.17 Write the principal value oftan [ 12 {sin−1( 2 x

1+x2 )+cos−1( 1− y2

1+ y2 )}],|x|<1 , y>0∧xy<1. (Delh i2013 )

Q.18 Write the value of tan−1[2sin {2 cos−1(√32 )}]. ( All India2013 )

Q.19. Write cot−1( 1√x2−1 ) ,|x|>1 in simplest form.

Q.20 If tan−1( x−1x−2 )+ tan−1( x+1

x+2 )=π4 , find the value of x . (Foregn2014 )

Q.21 Prove that: tan−1( cos x1+sin x )=π

4− x

2 , x∈(−π2

, π2 ). (Delh i2012 )

Q.22 Solve: 2 tan−1 (sin x )=tan−1 (2 sec x ), where x≠ π2

(Foreign2012 )

Q.31 Prove that: | x+ y x x5 x+4 y 4 x 2 x

10 x+8 y 8x 3 x|=x3

Q.32 Show that |b+c c+a a+bq+r r+ p p+qy+z z+x x+ y|=2|a b c

p q rx y z|

Q.33 Prove that |1+a 1 11 1+b 11 1 1+c|=abc(1+ 1

a+

1b+

1c )=abc+bc+ca+ab

Q.34 Show that:

|1+a2−b2 2ab −2b2ab 1−a2+b2 2a2b −2a 1−a2−b2|=(1+a2+b2 )3

Q.35 If a+b+c ≠0 and |a b cb c ac a b|=0 , then prove that a=b=c .

Q.36 Show that: | 3a −a+b −a+c−b+a 3b −b+c−c+a −c+b 3 c |=3 (a+b+c ) (ab+bc+ca )

Q.37 If y=3cos ( log x )+4sin ( log x ) , show that x2 d2 yd x2 +x dy

dx+ y=0. (Delh i2012 )

Q.38 If y=sin−1 x, show that (1−x2 ) d2 y

d x2 −x dydx

=0. (Delh i2012 )

Q.39 if x=a (cos t+log tan t2 ); y=a sin t,find d

2 yd t2 and d

2 yd x2 . ( All India 2012 )

Q.40 If x=a (cos t+t sin t ) , y=a (sin t−t cos t ) ,0<t< π2, find d

2xd t 2 , d

2 yd t2

and d2 yd x2 .

( All India 2012 )

Q.41 If x=√asin−1 t and y=√acos−1 t, then prove that dydx=− yx

. (All India2012 )

Q. 42 If y=( tan−1x )2, then prove that (1+x2 )2 y2+2 x (1+x2 ) y1=2 (All India2012 )

Q.43 If xm yn=( x+ y )m+n, then prove that dydx= yx .

(Foreign2012 )

Q.44 Ify=ea cos−1 x ,−1≤x ≤1 ,show that (1−x2 ) d2 y

d x2 −x dydx

−a2 y=0. (Foreign2012 )

Q.45 If x=asin t and y=a(cos t+ log tan t2 ). Find d

2 yd x2 . (Delhi2013 )

Ans :−cosec2t sec t /a

Q. 46 If x=acos3θ and y=a sin3θ, then find the value of d2 y

d x2 at θ=π6

(All India2013 )

Ans :32/(27a)

Q.47 If y x=e y−x ,prove that dydx

=(1+ log y )2

log y.( All India2013 )

Q.48 If x y=e x− y ,prove that dydx

= log x(1+ log x )2 . ( All India2013 )

Q.49 If x sin (a+ y )+sina cos (a+ y )=0, prove that dydx

=sin2 (a+ y )

sin a( All India2013 )

Q.50 If y=sin (log x ), then prove that x2 d2 yd x2 +x dy

dx+ y=0 . (Foreign2013 )

Q.51 If y=( tan−1 x )2, then prove that (x2+1 )2 d2 y

d x2 +2 x (x2+1 ) dydx

=2 . (Delh i2012 )

Q.52 Let A=[ 0 −tan(α2 )tan( α2 ) 0 ]∧Ibe the identity matrix of order2. Show that

I+A=(I−A )[cosα −sinαsinα cosα ]

Q.53 Let A=[ 2 3−1 2] and f ( x )=x2−4 x+7. Show that f ( A )=0. Use the result to find A5

Q.54 If A is a square matrix such that A2=I ,then find the simplifies value of

( A−I )3+( A+ I )3−7 A

Q.55 If ω is a complex cube roots of unity, show that

([ 1 ω ω2

ω ω2 1ω2 1 ω ]+[ ω ω2 1

ω2 1 ωω ω2 1 ]) [ 1

ωω2]=[000]

Q.56 If [2 35 7 ][ 1 −3

−2 4 ]=[−4 6−9 x ] ,findx.

Q.57 Find the value of x for which the matrix product

[2 0 70 1 01 −2 1] [−x 14 x 7 x

0 1 0x −4 x −2 x ]equal to an identity matrix

Q.58 Solve the matrix equations:

[ x 1 ] [ 1 0−2 −3] [x5]=0

Q.59If A=[0 −xx 0 ] ,B=[0 1

1 0] and x2=−1, then show that ( A+B )2=A2+B2

Q.60 If A=[2 0 12 1 31 −1 0], find A2−5 A−4 I and hence find a matrix X such that

A2−5 A−4 I+X=0

Q.61A trust invested some money in two types of bonds. The first bond pay 10% interest

and second bond pay 12% interest. The trust received Rs.2800 as interest. However, if

trust had interchanges money in books they would have got rs.100 less as interest. Using

matrix method, find the amount invested by the trust.[CBSE 2016]

Q.62 Find the inverse of the matrix using elementary row

(column) transformations

i. A=[3 −1 −22 0 −13 −5 0 ]

Ans. A−1=[−58

54

18

−38

34

−18

−54

32

14

]ii. A=[3 0 −1

2 3 00 4 1 ] Ans.A−1=[ 3 −4 3

−2 3 −28 −12 9 ]

iii. A=[2 −1 44 0 23 −2 7 ] Ans. A−1=[−2 1

21

11 −1 −6

4 −12

−2 ]iv. A=[ 1 2 −2

−1 3 03 −2 1 ] Ans. A−1=[3 2 6

1 1 22 2 5]

Q.63 The monthly income of Aryan and Babban are in the ratio 3 :4

and their monthly expenditures are in the ratio5 :7. If each save Rs. 15000

per month, find their monthly income using matrix method. This problem

reflect which value?[CBSE 2016]

Q.64 If A=[1 −12 −1] ,B=[a 1

b −1]and ( A+B )2=A2+B2, find a and b.

Q.65 If A=[ 0 1−1 0] ,find x and y such that ( xI+ yA )2=A

Q.66 Find the value ofx such that [ 1 x 1 ] [ 1 3 22 5 1

15 3 2][12x ]=0

Q.67 If [ 2 −11 0

−3 4 ] A=[−1 −8 −101 −2 −59 22 15 ], find A.

Q.68 There are two families A and B. There are 4 men, 6 women and 2

children in family A and 2 men, 2 women and 4 children in family B. the

recommended daily allowance for calories is : Man;2400. Woman: 1900,

child: 1800 and for proteins is: Man: 55gm, woman: 45gm and child:

33gm. Represent the above information by matrices. Using matrix

multiplication, calculate the total requirement of calories and proteins for

each of the two families.

Q.69 Three school A ,B and C organised a mela for collecting funds for

helping the rehabilitation of food victims. They sold and plates made fans,

matsfrom recycled material at a cost of Rs 25, Rs.100 and Rs.50 each. The

number of articles sold are given below:

School

Article

A B C

Hand- Fans 40 25 35

Mats 50 40 50

Plates 20 30 40

Q.70 Find the fund collected by each school separated by sailing the

above articles. Find the total funds collected for the purpose.(Delh i2015 )

Ans: Amount raised by school A, school B and School C are ₹ 7000 ,₹ 6125

and ₹ 7875 respectively. Total fund = 21000. ‘₹

Q.71 Prove that the product of matrices is he null matrix, when θ and ∅

differ by an odd multiple ofπ2 .

[ cos2θ cosθ sin θcosθ sin θ sin2θ ]and [ cos2∅ cos∅ sin∅

cos∅ sin∅ sin 2∅ ]

SUBJECT : ACCOUNTANCY

1. Project Work : Complete Comprehensive Project in Project File.

2. Accounting for Partnership firms: Fundamentals :-

Practical Questions Nos. 1 to 100 in separate Holiday Homework Copy.

SUBJECT : APPLIED ART

Practical

1. 3 Posters-Layouting and Final Poster Designing.

2. 3 Illustrations –Layouting and Final Illustration

Designing.

3. 1 Caricature Art.

Theory

1. Origin & Development of Rajasthani &

Mughal School of Miniature Painting.

2. Main Characteristics of Rajasthani &

Mughal School of Art.

SUBJECT : COMPUTER SCIENCE

1. Write a function that takes time as three integer

arguments(hours,minutes,seconds),and returns the number of seconds since the

clock last struck "12". Use thisfunction to write a program to calculate the

amount of time in seconds betweentwo times, both of which are ithin one 12

hour cycle of clock.

2. Write a c++ program to sum the sequence: -x -(x2/2!) + (x4/4!) -(x6/6!) + .......

3. Write a program to accept three digits and print all possible combinations from

these digits.

4. Computers are playing an increasing role in education. Write a program that

will help elementary school students learn multiplication. Use rand function to

produce two positive one digit integers.

5. Write a program in c++ to store and display the data of audio tape and book.

6. Write a c++ program to illustrate a calculator. Perform calculations on two

operands using a class calculator. Calculator should add, subtract, multiply and

divide operands.

7. Imagine a ticket selling booth at a fair. People passing by are requested to

purchase a ticket. A ticket is priced at Rs. 2.50. The booth keeps track of the

number of people that have visited the fair and of the total amount of money

collected. Model this ticket selling booth with a class tick. Include a program

to rest this class.

8. Write a program to accept information about a person and then display it.

9. Write a program to record a score of a cricket match.One array stores

information of batting team such as atman's name runs scored, etc. The other

array stores information about bowling team. The program reads in above

information and depending on user's choice, it displays either batting team's

information or bowling team's information.

10.Write a program to calculate the no. of types of guests i.e. gentlemen or ladies

or children using a class.

(Also solve the worksheet-1 and worksheet-2 given in the subject IP)

SUBJECT : INFORMATICS PRACTICES

Worksheet-1

Find the output of the following java code.(Practice of following questions)

int sum=0, j=0;

for (j=0;j<=50;j+=5)

{

sum+=j

}

System.out.println(“Sum=” + sum);

int sum=0, j=0;

for (j=0;j<=50;j+=5)

{

sum*=j

if (sum>100)

break;

}


int sum=0, j=0,k=0;

for (j=1;j<=5;j++)

{

for(k=1;k<=5;k++)

{

sum+=j*k

}

}


int sum=0, j=0,k=0;

while(j<5)

{

while(k>5)

{

sum=sum+k;

k++;

}

j++;

}


int j=0,k=0, r=10; int j=0,k=0, r=10;

for (j=1;j<=5;j++)

{

if(r<15)

r=r+j+2;

else

r=r%5+j*2;

}

System.out.println(r);

for (j=1;j<=5;j++)

{

if(r<15)

r=r + j + 2;

else

r =r – j -2

}


int j=0,k=10, r=10;

while(k>=100)

{

if(k%6==0)

r = r + k;

else

r = r – k;

k=k-10;

}


System.out.println(k);

double p=0.0,k=0.0;

while(p<=28)

{

k=k+p;

p+=4.5;

}


System.out.println(p);

Worksheet-2

Rewrite the following for loop using while loop and while loop using for loop without affecting the result. (Practice of following questions)

int sum=0, j=0;

for (j=0;j<=50;j+=5)

{

sum+=j

}


int sum=0, j=0;

for (j=0;j<=50;j+=5)

{

sum*=j

if (sum>100)

break;

}


int sum=0, j=0,k=0;

for (j=1;j<=5;j++)

{

for(k=1;k<=5;k++)

{

sum+=j*k

}

}


int sum=0, j=0,k=0;

while(j<5)

{

while(k>5)

{

sum=sum+k;

k++;

}

j++;

}


int j=0,k=0, r=10;

for (j=1;j<=5;j++)

{

if(r<15)

r=r+j+2;

else

r=r%5+j*2;

}


int j=0,k=0, r=10;

for (j=1;j<=5;j++)

{

if(r<15)

r=r + j + 2;

else

r =r – j -2

}


int p=0,k=0;

if p==0

System.out.println(5);

double p=0.0,k=0.0;

while(p<=28)

{

k=k+p;

p+=4.5;

}


System.out.println(p);

WORKSHEET-3

Questions for practical record file:

Q1. ICICI bank wants to computerize it bank to calculate the interest amount on different types of accounts. Bank offers following rate of interest to calculate the interest amount:

Type Rate of Interest

SAVING 4.5%

CURRENT 3.0%

FD 6.5%

Bank also offers 0.5% extra rate of interest for senior citizens. Following data entry form is prepared for the same.

Write the code in Java NetBeans to calculate the interest amount on actionperformed event of calculate button. On clicking clear button all text boxes should be clear. On clicking of exit button application should be closed.

Q2. MODI College offers various degree courses in the college. College also offers hostel, mess and transport facility to the students. To calculate the total charge on the basis of facilities being availed by the students following data entry form is prepared.

College charges Rs. 1000 per month for Mess facility, Rs. 1500 per month for Transport facility and Rs. 1200 for Hostel facility. If a user wants the hostel facility then mess facility should be selected automatically. As the user select the facilities he wants the chargeable amount should be displayed in the text boxes next to it.

Write the code to calculate the total amount to be paid by the students in a textarea along with his details on click event of calculate button as follows:

Student Name:

Course:

Total Amount:

On clicking of clear button all textfields should be cleared and on clicking of exit button application should be closed.

Q-3: ABC garments offers discount on ready-made garments the basis age group to its

customers.

Sno Age Group Discount Rate

1 0-5 years 10%

2 6-10 15%

3 11-15 12%

4 >15 0%

ABC garments offer 3% additional discount to its permanent customers. To compute the

discount amount and net payable amount following data entry form is prepared.

1. Write the code to calculate the total discount amount and net payable amount on

ActionPerformed method of btnCal button.

2. Write the code on ActionPerformed method of btnclear button to do followings.

radiobutton should be set to none

textbox should be clear

checkbox should be unchecked

Q4: Design an application in JavaNetbeans to add or remove an element in combo box.

Workshop5: Design an Application to show the use of jListbox methods.

Q6:BSNL wants to calculate the bill amount on the basis of number of calls used by the

customer. They have developed an interface shown below. Bill is calculated on the basis of

number of calls as per following criteria

Commercial Residential

<=100 no charge

>100 and <=300 : Rs. 1.5 per call

>300 and <=500 : Rs. 2.5 per call

>500 : Rs. 4 per call

<=150 no charge

>150 and <=300 : Rs. 1 per call

>300 and <=500 : Rs. 1.5 per call

>500 : Rs. 2 per call

If the subscriber is having BroadBand Connection then Rs. 700 and Rs. 400 is to be charged for

commercial and residential respectively.

Q-7: Design a Login screen to check the validity of a user. If user enters username and password

correctly then display a message “Welcome” + UserName otherwise display a message “Invalid

UserName\Password !!! try again”. User should not be allowed to login more then 3 times. If

user enters wrong username\password three times then application should close

Q-8: Design an application to display a different image on click of radio buttons. Design the

interface as shown below.

Q-9: Design an application in Java Netbeans to display the teachers’ details in the textarea. You

are required to input the details of a teacher using the given data entry form. You are also

required to define a class “Teacher” with following data members and member functions.

Data Members:

private

String name;

private String address;

private String desig;

private double salary;

private double da;

private double hra;

private double gross;

Member Functions :

void read() //to read teachers details

void display() //to display teachers details

Default constructor to initialize the data members.

Your data entry form is as follows:

Q10. ABC International School wants to computerized its employees details. For this they ask Mr. Ashish to develop a data entry form. Mr Ashish design a class EMPLOYEE in Java Netbeans with following data members and member functions:

private:

Empno of type interger

Ename of type string

Post of type string

Basic of type double

public:

void read() //to read employees details

void display() // to display employees details

After a year long school offers the salary to the employees as per government rules which includes followings:

Basic

HRA 20% of Basic

DA 35% of Basic

CCA a fixed amount Rs. 480

PF a fixed amount Rs. 780

Gsal = Basic + HRA + DA+ CCA

Nsal = Gsal-PF

Mr. Ashish requires to calculate salary of each employees as per new rules. He is extending the class EMPLOYEE as EMPSAL with above data members as private and with following member functions declared as public:

void newread() //to read all details of employees:

void newdisplay() // to display() employees details.

double GrossSal() // to calculate gross salary

double NetSal() //to calculate net salary.

Mr. Ashish develops the following data entry form for the same:

When a user clicks on Read button then it stores all the information in the data members of the class. On the click of read button HRA, DA, CCA and PF must be calculated automatically along with Gross Salary and Net Salary.

When a user clicks on Display button then it should display all information of the employees.

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