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HOLIDAY ASSIGNMENT - (2015-2016)

CLASS:XII

PHYSICAL EDUCATION

RECORD BOOK PREPARATION

Content

Unit-1

1. History of the game.

2. Latest general rules of the game.

3. Draw a neat diagram of the football field.

4. Important tournaments and venues.

5. Sports personalities.

6. Write the benefits of Asana and Swiss ball.

Unit-2

1. Fundamental skills of the game.

2. Specific exercises of warm up and conditioning.

3. Terminology related to the game.

4. Sports awards related to your game.

5. Common sports injuries and its prevention.

6. Pictures related to your game.

Unit 3

1. Measure resting Heart rate of any ten members from your family or locality for three weeks and

show the graphical representation of data.

ECONOMICS

I. The following is a production possibility table for war goods and civilian goods.

Combination A B C D E

Automobiles 1 2 3 4 5

Rifles 10 9 7 4 0

1) Show these production possibilities through a PPC and verify that it is concave to the

origin.

2) Label point G inside the curve .What does this indicate?

3) Label point H outside the curve. What does this point indicate?

4) What must an economy do to attain the level of production indicated by point H.?

5) Suppose improvement occurs in the technology of producing rifles and not in the

production of automobiles .Draw the new PPC.

II. Define utility. Explain the relationship between TU and MU with the help of a schedule

and diagram.

III. How will an increase in the price of tea affect the demand for sugar? Explain with

diagram.

IV. When will rise in demand be called expansion of demand and when will it be called an

increase in demand. Explain with the help of diagrams.

V. Define Price elasticity of demand. Explain various degrees of price elasticity of demand

with the help of diagrams.

VI. Draw a straight line demand curve. Choose any three points on it and compare the point

elasticities at these points.

ACCOUNTANCY

1. A, B, C D share profits in the ratio of 5:3:2:2 and their capitals are Rs. 7,000, Rs.

6, 500, Rs, 6,000 and Rs. 6,500 respectively. On 31st December, 1992 after closing

the books it is found that interest on capital @ 6% p.a. was omitted. Instead of altering

the signed accounts, it was decided to pass a single adjustment entry at the beginning

of the next year. Give the necessary journal entry.

2. X and Y are partners sharing profits in the ratio of 3:2 with capital of Rs.50, 000

and Rs.30, 000 respectively. Interest on capital is agreed @ 6 % p.a. Y is to be

allowed an annual salary of Rs. 2,500. During 1995, the profits of the year prior to

calculation of interest on capital but after charging Y’s salary amounted to Rs.12, 500.

A provision of 5% of the profits is to be made in respect of manager’s commission.

Prepare an account showing the allocation of profits and

partner’s capital accounts.

3. A, B and C were partners in a firm. Their capitals were A RS.30000, B Rs.20000 and

C RS.10000 respectively. According to the partnership deed they were entitled to an

interest on capital @ 5% p.a. In addition C was also entitled to draw a salary of Rs.

500 per month.

B was entitled to a commission of 5% on the profits after charging the interest on

capital but before charging the salary payable to C. The net profits for the year were

Rs.30000. Distributed in the ratio of their capitals, without providing for any of the

above adjustments. The profits were to be shared in the ratio of 1:2:2. Pass the

necessary adjustment entry. Showing the workings clearly.

4. Ram and Mohan are partners in a firm who were allowed salary Rs. 3000 p.m. Pass

the necessary journal entries for the above situation?

5. 3000 shares of Rs. 10 issued at 10% premium forfeited by crediting Rs. 5000 to

forfeited account. Out of these 1800 forfeited shares reissued at Rs. 9 per share as

fully paid up.

Calculate the amount to be transferred to capital reserve?

6. Share capital……………………………

Securities premium reserve……………………………….

To forfeited shares

To calls-in-arrears

(Forfeited 2000 shares allotted to Mr. Rahul of Rs.10 at premium of Rs. 5 alloted on

pro-rata basis of 5:4 for the non-payment of allotment and first call of Rs.12)

7. .Project work is given. According to the instructions, you have to complete your

project work.

BUSINESS STUDIES

I. Prepare second project on the following topics strictly as per instructions given in

the class

1. Marketing management

2. Stock Exchange

3. Business Environment

II. Answer the following question in your business studies note book :-

1. Mr owais is a production manager of XYZ ltd . in the year 2014, he has been given a

target of achieving 50,000 units with 50 laborers. However he achieved 50,000 units

by employing 55 labourers. Do you think he is an efficient manager.

2. Mrs Anita is health conscious, she started a health club in her residential society.

There I sno membership fee and members are expected to join physicial work session

on daily basis. Do you think the concept of management is applicable in this case.

3. To meet one of the objectives of management of XYZ ltd , co contributed a large

amount of money to flood victims of Bihar so that they can survive. Identify the

objective of the management

4. Mr owais is reporting to a manager who reports to a senior manager. On 29th oct

2010 senior manager assigns a task of customer report preparation to Mr owais

without communicating this to the manager. Which principle of management is

violated here?

5. Name and explain the principle of scientific management in which management

should avoid traditional techniques, hit and miss method and old approaches.

6. Nangia steel pvt ltd, has divided the whole of its business into five departments. Now

the companies General Manager is telling all the employees what different jobs are to

be done by them. While giving the jobs to the employees, the nature of job and the

person’s ability is especially being taken into account. This also has been pre-

determined who will report to whom. This will make it clear who is the superior and

who is the subordinate. The two stages of the process of which function of

management have been discussed in the paragraph above? Identify the function and

its stages

7. Loreal Co. offers a wide range of cosmetic products and keep introducing new

varieties of Cosmetic range. Which feature of management is highlighted here?

8. Soumya believe that the 5 functions of management are not needed in sports club,

hospitals, schools etc as they are not run on commercial basis. a)Do you agree with

soumya? Give reason in support of your answer.

b) Identify the feature of management ignored in the given case.

9. A famous doctor charges high consultation fees from his patients and also refuses to

treat the poor patients without consultation. He takes gifts and commission from

medical representatives and agents of Pharma co. Does he follow the Code of

Conduct of doctor ? In your view is it professional behavior of doctor

10. Identify the type of dimension of environment to which the following are related :

i) Banks reducing interest rate on housing loans. ii) An increasing number of working

women. iii) Booking of air tickets through internet. iv) Alcohol beverages are prohibited to

be advertised on Door Darshan

11. Name the type of organization which is fluid in form and scope and does not have

fixed lines of communication

12. “Reserve 10% seats in IIT examination for girls.” What type of plan is it?

13. This step of planning process is the real point of decision- making. Identify the step.

14. What was the technique of wage payment recommended by Taylor & why?

15. The process of selection starts where the process of recruitment ends. In the light of

this statement, explain the difference between recruitment and selection

16. Factory owners or managers relied on personal judgment in attending to the problems

they confronted in the course of managing their work. Which principle of Taylor is it

referring to

17. The principles of management aren't rigid and can be modified when the

situation demands. Which nature of principles is being discussed here?

18. The directors of XYZ limited, an organisation manufacturing computers, want

to double the sales and have given the responsibility to the sales manager. The

sales manger has no authority either to increase sales expense or appoint new

salesmen. Hence, he could not achieve this target. Identify the principle violated in

this situation

19. Management is regarded as an art by some, as science or as an inexact science by

others. The truth seems to be somewhere in between. In the light of this statement,

explain the true nature of management

20. Mr. Ajay is working as C.E.O. of HCL Ltd. To which level of Management he

belongs? What are his basic function?

III. Learn all the exercise questions from the NCERT Text Book Business Studies Part 1

for the chapters 1-8

INFORMATICS PRACTICESINFORMATICS PRACTICESINFORMATICS PRACTICESINFORMATICS PRACTICES

OUTPUT OUTPUT OUTPUT OUTPUT FINDING QUESTIONS:FINDING QUESTIONS:FINDING QUESTIONS:FINDING QUESTIONS:

1. Write the output of the following code : int x , y = 0;

for(x=1;x<=5;++x) y = x++;

--y ; 2. Find the output of the code: 2

int f=1,i=2; do { f*=i;

}while(++i<5); System.out.println(f);

3. What will be the output of the following code segment: String firstName = "Johua ";

String lastName = "Yacomo"; String fullName = firstName + lastName;

jTextField1.setText("Full Name: "); jTextField2.setText (fullName);

4. What will be the value of j and k after execution of the following code: int j=10,k=12;

if(k>=j) { k=j;

J=k; } 5. How many times, the following loop gets executed?

i=0;

while (i> 20) {

//Statements }

6. How many times, the following loop gets executed? i=0;

do{ //Statements

} while (i> 20); 7. What will be the contents of jTextield1 and jTextField2 after executing the following

statement: StringBuffer s= new StringBuffer(“Common Wealth”);

int c=s.capacity(); s.insert(0,’E’);

s.reverse(); jTextField1.setText(“”+c);

jTextField2.setText(s.toString()); 8. What will be the contents of jTextield after executing the following statement:

int num=4; num=num+1;

if(num>5) jTextField1.setText(Integer.toString(num));

else jTextField1.setText(Integer.toString(num*4));

9. Find the output of the following code: int First = 7;

int Second = 73; First++; if (First+Second> 90)

jlabel1.setText("value is 90 "); else

jlabel1.setText("value is not 90 "); 10 . Find the output

int Number1 = 7,Number2=8; int Second = 73;

if (Number1>0 || Number2>5) if (Number1>7)

jTextField1.setText("Code Worked"); else

jTextField1.setText("Code MightWork"); else

jTextField1.setText("Code will not Work"); 11.How many times will the following loop get executed?

x = 5;

y = 36; while ( x <= y)

{x+=6;} 12. What will be the content of the jTextArea1 after executing the following code?

Int Num = 1; do

{ jTextArea1.setText(Integer.toString(++Num) + "\n");

Num = Num + 1; }while(Num<=10)

13. What will be the value of s after executing the following code? double i,sum=2

for(i=3;i<8;++i) { if(i%4= =0) { break;

sum=Math.pow(sum,i);} else

sum+=i/2;} 14.14.14.14.. . . . Predict the output for tan & tan1 if sac equals 7?

int tan = 0, tan1 = 4 ; if ( sac == 2 )

{ tan = 4 ; tan1 = 0; }

else if (sac == 8) { tan = 0 ; tan1 = 4; }

JOptionPane.showMessageDialog( null , “ tan = “ + tan +” , tan1 = “ + tan1 ) ; 15. Give the output for the following code fragment:

v = 20 ; do

{ JOptionPane.showMessageDialog( null , v + “ ” ) ;

} while ( v< 50 ) ; JOptionPane.showMessageDialog( null , “ Bye “ ) ;

16. Give the value of x after executing following Java code. Also find how many times the following loop will execute? :

int a=10; int b=12;

int x=5; int y=6; while (a<=b)

{ if (a%2= =0) x=x + y;

else x=x-y;

a=a+1; } 17. What will be the output produced by following code fragment?

float x=9; float y=5;

int z=(int)(x/y); switch(z)

{ case1:x=x+2;

case2: x=x+3; default:x =x+1; }

System.out.println(“value of x:”+x); 18181818. . . . Predict the output of the following code fragments:

int i, j, n; n=0;i=1;

do { n++; i++; }

while(i<=5); }

19191919. . . . What values will be assigned to the variable ua ,ub, uc and fail after execution of the following program segment:

int i=0,ua=0,ub=0,uc=0,fail=0; while(i<=5) {

switch ( i++ ) { case 1 :++ua;

case 2 : ++ub; uc++;break; case 3 :

case 4 : ++uc; ua++;ub++;break; default : ++fail;

} 20202020 Predict an output of the following code fragments:

int i = 1, j = 0, n = 0;

while(i<4) { for(j=1;j<= i ; j++)

{ n+= 1; i = i+1;

} System.out.println(n);

} 22221111. Give the output of the following code:

int m=100; while(m>0)

{ if (m<10)

break; m=m-10;}

System.out.println(“m is “+m); 22. How many times will each of the following loops execute? Which one of these is an entry control loop and which one is an exit control loop? 2

Loop1: int sum=0,i=10;

do {

sum+=i; i++;

} while(i<10);

Loop2: int sum=0,i=10;

while(i<10) {

sum+=i; i++;}

23. What will be the contents of jTextField after executing the following statement?

jTextField.setText ( ‘B’ + ‘a’ );

24. Find the output: int f=1,i=3;

do {

f*=i; } while(++i<10);

System.out.println(f); 25.Give the value of x after executing following Java code. Also find how many times the

following loop will execute? : int a=12, b=10, x=6,y=5;

while (a<=b) { if (a%2! =0)

x=x + y; else

x=x-y; a=a+2; }

26. What will be the value of s after executing the following code? double i,sum=3 for(i=3;i<=9;++i)

{ if(i%4! =0) { break;

sum=Math.pow(sum,i); }

else sum+=i/2; }

27. What will be the value of x and y after execution of the following code:

int x, y=0;

for(x=5;x>=0;x--)

y=--X;

++y;

28.What will be the content of jtext field after executing the following code: int n=6;

n=n+1;

If (n>5)

Jtextfield1.setText(Integer.toString(n));

else

jtextfield1.setText(Integer.toString(n+5));

29 . What will be the contents of jTextarea1 after executing the following code:

jTextarea1.setText(“Just\n Another \t Day”);

30. What output will the following code fragment produce 1. if the input is 2000

2. if the input is 1000 int val, res, n=1000;

res=n+val>1750?400:200; System.out.println(res);

31. What will be the output produced by following code fragment? m=1;

n=0; for(;m+n<19;++n)

system.out.println(“Welcome”); m=m+10;

32. What will be the output produced by following code fragment?

float x=9; float y=5;

int z=(int)(x/y); switch(z)

{ case1:x=x-2;

break; case2: x=x-5;

default:x =x+2;} system.out.println(“value of x:”+x);

34.What will be the output of the following code snippet: int z, x = 3, y = 5;

z = --x + y++; System.out.println(z);

1. Glamour Garments has developed a GUI application for their company as :

i). Write the code for Clear button to clear all the text fields and

ii). Write the code for Exit button the application should be closed while displaying a message "Happy Shopping".

iii).Write the code for Calculate button to :(i) To ensure that the Bill Amount entered by the user is a positive number,

prompt a message to the user asking to reenter the valid Bill Amount(ii) Calculate the discount on bill amount and display it in the respective text field, As per

the given criteria :

Mode of Mode of Mode of Mode of PaymentPaymentPaymentPayment

Cheque

Credit Card

(iii) Calculate net amount as : Net Amount = Bill Amount

respective textField

2. Mr. Madhav works in a construction company. To calculate total wages he has developed the following GUI

in NetBeans.

tf2

tf3

GUI QUESTIONSGUI QUESTIONSGUI QUESTIONSGUI QUESTIONS

Glamour Garments has developed a GUI application for their company as :

i). Write the code for Clear button to clear all the text fields and the check box.

ii). Write the code for Exit button the application should be closed while displaying a

iii).Write the code for Calculate button to : (i) To ensure that the Bill Amount entered by the user is a positive number, if it is negative

prompt a message to the user asking to reenter the valid Bill Amount (ii) Calculate the discount on bill amount and display it in the respective text field, As per

Mode of Mode of Mode of Mode of PaymentPaymentPaymentPayment

DiscountDiscountDiscountDiscount

Cash 8 %

Cheque 7 %

Credit Card Nil

(iii) Calculate net amount as : Net Amount = Bill Amount – Discount and display it in the

Mr. Madhav works in a construction company. To calculate total wages he has developed the following GUI

Glamour Garments has developed a GUI application for their company as :

the check box.

ii). Write the code for Exit button the application should be closed while displaying a

if it is negative

(ii) Calculate the discount on bill amount and display it in the respective text field, As per

Discount and display it in the

Mr. Madhav works in a construction company. To calculate total wages he has developed the following GUI

tf1

tf4

cb1

3. Find the discount of an item on the basis of category of item [Electrical

Appliances/Electronic Gadget/Stationery]. The Categories will be implemented in JRadioButton controls .The Discount will be calculated as follows

COSTCOSTCOSTCOST DISCOUNT(%)DISCOUNT(%)DISCOUNT(%)DISCOUNT(%)

<=1000 5

Otherwise 10

The extra discount will be calculated as follows:

CATEGORYCATEGORYCATEGORYCATEGORY DISCOUNT(%)DISCOUNT(%)DISCOUNT(%)DISCOUNT(%)

Electrical Appliances 3

Electronic Gadget 2

Stationery 1

(1) Calculate the total discount as Discount on cost+ Discount on Category

Male and female labourers are respectively paid Rs. 150/- per day and Rs. 170/- per day. Skilled labourers

are paid extra at the rate of Rs. 100/- day. Male and female labourers from rural areas are paid 10% less per day.

IIII.... Write the code to lock the text box.( text box for total wages should not take input) IIIIIIII.... Write code to do the following-

aaaa)))) When Calculate Wage button is clicked, the total wages is calculated as per the given criteria and displayed in total wage text box.

bbbb)))) When Clear button is clicked, all the text boxes should be cleared and radio button, check box should be deselected.

cccc)))) Close the application when Quit button is pressed.

(2) Calculate the discount amount as cost*discount(3) On clicking the exit button it will exit the application

MATRICES AND DETERMINANTS

Q1. If A is a square matrix of order 3 such that


(a) (b) (c)

Q3. For the matrix A = ,

& A3

Q5. Find the matrix A such that (i)

Q6. For A = , show that A

Q7.IF A =


Q9. If A is a skew-symmetric matrix of order 3, show

Q10. If A= , B=

Q11. If A & B are symmetric matrix of same order , prove that AB+BA is symmetric .

Q12. Express as the sum of symmetric and a skew symmetric matrix.

Calculate the discount amount as cost*discount On clicking the exit button it will exit the application

MATHEMATICS

MATRICES AND DETERMINANTS

Q1. If A is a square matrix of order 3 such that │adj A │= 64 , Find │A’│.

If A is a square matrix of order 3 such that =4 ,find the following

(d) (e) A.adj A

, show that A2 – 3A + 2 = 0.Hence , obtain A-1

Q5. Find the matrix A such that (i) A = ans A=

(ii) A = ANS. A=

, show that A3 – 6 A2 +9 A – 4 I = 0 . Hence find A-1

Ans A

Find │adj A│. 1 MARK

Q8. If A is a square matrix of order 3 such that │adj A│= 64 , find │A│. Ans. ±8

symmetric matrix of order 3, show that │A│= 0

and ( A + B )2 = A2 + B2 , find a , b . Ans a=1, b= 4


as the sum of symmetric and a skew symmetric matrix.

ans A=

ANS. A=

1 .

Ans A-1 = A

│adj A│. 1 MARK

│adj A│= 64 , find │A│. Ans. ±8

, find a , b . Ans a=1, b= 4



Ans. A=

Q13.Using determinant , find the area of the triangle whose vertices are (3,8) , (

Q14. Using determinants, find the equation of the line passing through the points (

Q15. Find the value(s ) of k if the area of the triangle whose vertices are (k,4) , ( 2 ,

sq units .

Q16. Prove that the points P(a , b+c ) , Q ( b , c+a ) and R ( c , a+ b ) are collinear

Q17.If A = and B =

Q18. Find the product

equations:

x-y+2z = 1 , 2y-3z =1 , 3x – 2y +4z = 2 Ans. X=0

Q19. By elementary row transformations, find A

ans. A- 1 =

Q20.Find Multiplicative Inverse of the matrix

Q21. If A = , show by mathematica

An =

INVERSE TRIGONOMETRIC FUNCTIONS

Question numbers 1 to 8 carry 1 mark each

Q1 Using principal value , evaluate the following :

Ans. A= +

Q13.Using determinant , find the area of the triangle whose vertices are (3,8) , ( -

Q14. Using determinants, find the equation of the line passing through the points (


sq units .

Q16. Prove that the points P(a , b+c ) , Q ( b , c+a ) and R ( c , a+ b ) are collinear.

, verify (AB)’ = B’A’

.hence; solve the following system of

2y +4z = 2 Ans. X=0 ,y=5 ,z =3

Q19. By elementary row transformations, find A-1, where A =

=

Q20.Find Multiplicative Inverse of the matrix .

, show by mathematical induction that

, where n .

INVERSE TRIGONOMETRIC FUNCTIONS


Q1 Using principal value , evaluate the following :

+

-4 , 2 ) , ( 5 , 1 ).

Ans. 30.5

Q14. Using determinants, find the equation of the line passing through the points ( -1 , 3) and ( 0 , 2 )

Ans. X +y = 2

Q15. Find the value(s ) of k if the area of the triangle whose vertices are (k,4) , ( 2 , -6 ) , ( 5 , 4) is 35

Ans. -2 , 12

.hence; solve the following system of

Q2.Evaluate :

Q3. If - = , then solve for x .

Q4. Evaluate :

Q5.What is the principle value of :

Q6. Using principal value , evaluate the following :

Q7.Find the value of of cos[ +cos

Q8. Find the value of tan-1 -


Q11. Solve the following equation for x:

Q12.Prove that : +

Q13. Find the value of : 2

Q14. Solve : +

Q15. Solve for x:

Q16. Solve for x: sin [ 2 cos-1{cot(2 tan


Tan(cos-1x) = Sin ( cot-1


-

Q19. Express the following in the simplest form :

(a) , < x <

, then solve for x .

Q5.What is the principle value of : + ?

Using principal value , evaluate the following :

+

+cos-1(1/2)]



+ =

+ + =

+ + 2

=

+ + =

{cot(2 tan-1)}] =0


)


= , where x>0

Q19. Express the following in the simplest form :

< x < (b) , -a < x < a.

Q20 Prove that

tan ( + ) + tan (

Q21. Prove the following:

Q1. Find the matrix A such that (i)

Q2. For A = , show that A

Q3.IF A =


Q5. If A is a skew-symmetric matrix of order 3, show that

Q6. If A= , B=


Q8. Express as the sum of symmetric and a skew symmetric matrix.

Ans. A=

Q9.Using determinant , find the area of the triangle whose vertices are (3,8) , (

Q10. Using determinants , find the equation of the line passing through the points (

)

) + tan ( - )=

=

Q1. Find the matrix A such that (i) A = ans A=

(ii) A = ANS. A=

, show that A3 – 6 A2 +9 A – 4 I = 0 . Hence find A-1

Ans A

Find │adj A│. 1 MARK

Q4. If A is a square matrix of order 3 such that │adj A│= 64 , find │A│. Ans. ±8

symmetric matrix of order 3, show that │A│= 0

and ( A + B )2 = A2 + B2 , find a , b . Ans a=1, b= 4



A= +

Q9.Using determinant , find the area of the triangle whose vertices are (3,8) , ( -4 , 2 ) , ( 5 , 1 ).

Q10. Using determinants , find the equation of the line passing through the points (

ans A=

ANS. A=

1 .

Ans A-1 = A

1 MARK

│adj A│= 64 , find │A│. Ans. ±8

nd a , b . Ans a=1, b= 4



4 , 2 ) , ( 5 , 1 ).

Ans. 30.5

Q10. Using determinants , find the equation of the line passing through the points ( -1 , 3) and ( 0 , 2

Ans. X +y = 2


sq units .


Q13. Prove that tan-1 1 + tan-1 2 + tan

Q13. Find the product

equations:

x-y+2z = 1 , 2y-3z =1 , 3x – 2y +4z = 2 Ans. X=0 ,y=5 ,z =3

Q14. Solve for x: sin-1( 1 – x ) –

Q15. Find the value of cos ( 2 cos

Q1. If f(x) =

Q2 For what values of k is the function

f(x) =

Q3. Examine for continuity of the function f(x) =

Q4. For what value of k is the function

(i) F(x) =

(ii) f(x) =

Q5. If f(x) =

then find the values of a&b a=1 , b=

Q6.If the function f defined by


sq units .


2 + tan-1 3 =

.hence , solve the following system of

2y +4z = 2 Ans. X=0 ,y=5 ,z =3

– 2 sin-1x =

os ( 2 cos-1x + sin-1x ) at x = 1/5

CONTINUITY & DIFFERENTIABILITY

is continuous at x=0 , find he value of k. Ans . k=

Q2 For what values of k is the function

continuous at x= ? Ans k = 6

Q3. Examine for continuity of the function f(x) = at x=3

Q4. For what value of k is the function

continuous at x=1 ? Ans. K =

continuous at x=0 ? ans. K= 1

,if x=5 is continuous at x= 5 ,

then find the values of a&b a=1 , b=-1

Q11. Find the value(s ) of k if the area of the triangle whose vertices are (k,4) , ( 2 , -6 ) , ( 5 , 4) is 35

Ans. -2 , 12

.hence , solve the following system of

is continuous at x=0 , find he value of k. Ans . k=-4

? Ans k = 6

at x=3

continuous at x=1 ? Ans. K = -

continuous at x=0 ? ans. K= 1

at x= 5 ,

F(x) =

Revise the topics given below and

on them.

TOPIC- CONTINUITY AND DIFFERENTIABILITY

Q-1 IF the function f defined by f(x)=

Q-2 Find the relationship between a and b so that the function f defined by

f(x)= ax+1,if x≤3

bx+3,if x>3 is continuous at x=3

Q-3 For what values of k is the function f(x) = k(x

Q-4 If the function f defined by f(x)=

is continuous at x=1 ,find the values of a and b.

Q-5 Examine the function f for continuity and derivability at x=0 where

f(x)= 1-x2,x≤0

1+x2,x>0

Q-6 Differentiate the following functions w.r.t .x

(i)y=x logx +( log x)x (ii) y=e sin x+( tan x )x

Q-7 If x=sin t , y=sin pt ,prove that (1

Q-8 If y=log (x+√x2+a2) prove that (x

Q-9 If x= a (cost +log ( tan Z

[)) and y= asint ,find dy/dx at t=π/4.

is continuous at x=0 , find the value of a . Ans.a=8

Revise the topics given below and then attempt the set of questions based

CONTINUITY AND DIFFERENTIABILITY

1 IF the function f defined by f(x)=\]^_`^aa`bca , x≠0 is conUnuous at x=0, find the value of c.

½, x=0

2 Find the relationship between a and b so that the function f defined by

≤3

+3,if x>3 is continuous at x=3

3 For what values of k is the function f(x) = k(x2-2x), if x≤0 continuous at x=0?

4x+1, if x>0

4 If the function f defined by f(x)= 3ax+b,if x>1

11,if x=1

5ax-2b,if x<1

is continuous at x=1 ,find the values of a and b.

f for continuity and derivability at x=0 where

,x>0

6 Differentiate the following functions w.r.t .x

+( log x)x (ii) y=e sin x+( tan x )x (iii) y=(log x)cosx

+ade\ad]\

7 If x=sin t , y=sin pt ,prove that (1-x2)y2-xy1+p

2y=0

) prove that (x2+a

2)y2+xy1=0

)) and y= asint ,find dy/dx at t=π/4.

is continuous at x=0 , find the value of a . Ans.a=8

then attempt the set of questions based

CONTINUITY AND DIFFERENTIABILITY

≠0 is conUnuous at x=0, find the value of c.

≤0 continuous at x=0?

Q-10 If y=sin (m sin]\ f), prove that (1-x2)y2-xy1+m

2y=0

TEST No.: 1

TOPIC: MATRICES

TIME: 2 hrs

Q1 If A =g4 32 1h and B = g2 45 1h , verify (AB)−1 = B −1A−1.

Q2 Solve using matrices: (i) 3x – 2y + z = 5 (ii) x + y – z = 5 (iii) 2x + 3z = 15

3x + 2y – 2z = 3 x + 2y – 3z = 6 2x – y + z = 2 2x +3y +3z =5 x – 2y + z = 4 3x – y – 2z = 3

Q3 Split matrix i3 1 12 3 41 0 1j in two matrices, one of which is symmetric and the

other is skew – symmetric.

Q4 If A = g 3 1−1 2h , verify l[ - 5A + 7I = 0, hence find l]\.

Q5 Find the inverse of A = i2 3 11 4 12 1 0j , using elementary row transformations.

Q6 If A' = g−2 31 2h , B = g−1 01 2h , find (A +2B)'.

Q7 If A = g−1 43 −7h , verify that (A2)' = (A')2.

Q8 If A' = i 3 4−1 20 1j and B = g−1 2 11 2 3h then verify that

(i) (A + B)' = A' + B' (ii) (A – B)' = A' - B'

Q9 For the matrix A = g1 56 7h, verify that

(i) (A + A') is a symmetric matrix. (ii) (A – A') is a skew – symmetric matrix. Q10 Using elementary column transformations, find the inverse of the following matrices:

(i) g 3 −1−4 2 h (ii)g 6 −3−2 1 h

TEST No. 2

TOPIC: DETERMINANTS

TIME: 45 min Q1 Prove , using the properties of determinants( at least two)

+m/ n 1 1 1o p qo[ p[ q[n = (a – b)(b – c)(c – a) +mm/ n o p q + ro p + r qo + r p q n =

r[+o + p + q + r/

+mmm/ n o p qop pq qoo[ p[ q[n = abc x ? +ms/ n1 + o 1 11 1 + p 11 1 1 + qn =

opq t1 + \u + \

v + \^w

+s/ n f + x f f6f + 4x 4f 6f10f + 8x 8f 3f n = fy +sm/ nx + z z xz z + f fx f f + xn = 4fxz

+smm/ no − p − q 2o 2o2p p − q − o 2p2q 2q 10o − 6p + 3qn = +o + p + q/y

TEST No.3

TOPIC: DIFFRENTIATION

TIME: 1hr

Q1 Find {|{a , if 1 + x = }m~�3f. q�}y6f

Q2 Find the derivative of √f}m~f .

Q3 If √1 + }m~3f� = y, find

{|{a.

Q4 If y = }m~y√f + \�a� , find {|{a

Q5 Find the derivative of : ��aq�}yf Q6 Find the derivative of the following:

(i)�ud]adudead (ii)

`bcaead^_Z[a (iii) t [Zuca

Zucae^_`aw

Q7 If y = �f +√f[ − 1�� , prove that +f[ − 1/ t{|{aw[ =�[x[.

Q8 If sin x = f}m~+o + x/, prove that {|{a = `bcd+ue|/��u

Q9 Find {|{a , if �a +�| =�ae|

Q10 f�1 + x + x√1 + f = 0, prove that {|{a = \

+\ea/d

TEST NO. 4 TOPIC : IMPLICIT DIFFERENTIATION & SECOND ORDER

Time: 1 hr

Q1. If x cosy +fy = tan]\ x , find {|{a

Q2. If sin xy + cos xy = 1 and tan xy ≠ 1, prove that {|

{a= ]|a

Q3. Find {|{a , when

(i) y + sin y = cos x (iii) y secx + tan x + f[x = 0

(ii) siny + fy = tan]\ x (iv) sin(xy) +a| =f[ − x

Q4. If sin x = y sin(x+a) prove that {|{a = ��u

{��+�e�/}d Q5. If y = �1 +√1 +f�, prove that x+x[ − 1/ {|{a =fy

Q6. If y = �tanf +�tan f +√tan f +⋯∞ , prove that +2x − 1/ {|{a =+}� q f/[

Q7. If y = cos]\ f, find {d|{ad in terms of y .

Q8. If y = 3�[a + 2�ya , prove that {d|{ad − 5 {|{a + 6x = 0

Q9. If x = �a+sin f + cos f/, prove that {d|{ad − 2 {|{a + 2x = 0

Q10. If �|+f + 1/ = 1, show that {d|{ad = +{|{a/[

Q11. Find {d|{ad of the following:

sin]\ f (ii) [ae\[aey (iii) f[ log|cos f|

TEST NO. 5

TOPIC : DIFFERENTIATION OF PARAMETRIC FUNCTIONS

Time: 1 hr

Q1. Find {|{a , when

(i)x= b +}m~�/[ and y = a +cos θ)[

(ii) x =yuZ

\eZd and y = yuZd\eZd

(iii) x = ��+� + \�/ and y = ��+� − \�/ (iv) x = cos]\ \

√\eZd and y = sin]\ Z√\eZd , t��

(v) x = \]Zd\eZd and y =

[|\eZd

Q2. If x = cost and y = sint , prove that {|{a = \√y at t =

[�y

Q3. If x = +`bcZ/�√��[Z , y =

+�� Z/�√��[Z , find

{|{a

Q4. If x = t� +\Zwu , y = oZe�� , find {|{a

Q5. Differentiate : (i) log sinx w.r.t √cosf (ii) cos]\ � w.r.t log (1 + �/ (iii) sin]\ [a

\ead w.r.t tan]\ f

TEST NO. 6

TOPIC : LOGARITHMIC DIFFERENTIATION

Time: 1 hr

Q. Find {|{a for the following functions:

1. f| +xa = q 2. f[ +x[ + 7fx = f[x[

3. x = fa� 4. x = f��a + +sin f/a

5. f| =�a]| , prove : �� a

+\e�� a/d = {|{a 6. ��a +�]�a +��| = 1

7. If (x + y) = f�xc , prove that {|{a = |a

8. Find {|{a for y = (2 +x) (2 + f[)……..(2 + f\�)

9. If y = √4 +fy × √7 +f[� × √9 +fy × √11 +f�¡ , find {|{a

10. (i) If x = fa −2`bca , find {|{a

(ii) If x = f`bca ++}m~f/^_`a , find {|{a

ENGLISH(CORE)

NOTE MAKING

E-learning is a trend that is here to stay. In the US, more than 41 million people log on to their

computers and double – click into virtual classrooms. And not only undergraduates, students too

pursue graduation degrees in fields as diverse as nursing, business, engineering and technology.

Experts predict that in the US, e-learning will become a US $2 billion industry within four years and

it won’t be long before a student can go through Harvard or Wharton Business School course sitting

right at home.

The trend is here to stay, not only in the US but in other countries, like India as well. It won’t

be long before Internet and web-based tools take over our classrooms in a significant manner. The

drift started with a few renowned institutions leveraging the Net to impart education. As they started

reaching out to a large number of students, some not-so-long colleges also flooded the Net with

electronic pages, chat rooms and bulletin boards as virtual classrooms. The net result was poor design

and content that left students in the lurch.

Luckily, a reversal is on the cards. A proper design and content with the right instructions

and methodologies has now made e-learning a rewarding experience for students. Now all that a

student has to do is to register at the web site and send in a cheque. A demand draft or a credit card

can also be used to pay for the course. A course packet containing the study material is then sent to

the student. The student can log on to the site and go through the syllabus, study or download the

material. As an electronic page is very different from that of a text book, the education portal’s

challenge lies in making web pages more effective than textbooks. Through the use of chat and other

software, learning becomes a real experience for a student in a virtual classroom.

Many on-line course offer features like student – teacher live chats, online assignments, and a

playback facility of recorded classrooms with expert faculty. Some sites even go a step further and

provide personal interactive classroom sessions, offline, in select cities. What gives e-learning an

edge over traditional learning is accessibility: you need not wait for buses that are overcrowded at

peak hours to reach your school. Classes come directly to your home, the desktop to be precise.

Also, unlike regular classes, students can work as well as study at their own pace and interact with

the faculty when they have doubts. The training offered is of certain standard and so is the content

presented. With features like recorded classrooms, the problem of missed classes does not arise

anymore.

The flip side is obvious as well. As there is no personal interaction with the teacher, the going

may get a bit tough for students who have not understood a concept. There is obviously no way for

the teacher to delve into the mind of his student. Moreover, PC penetration is very low in India with

few students having access to computers and even fewer knowing about online courses. E-learning

also requires a lot of self-driven study methods. In India; many people have phobias concerning

computers while others balk at any type of computer interaction. Hence, mindset issue is a serious

concern that has to be overcome.

Then there are other drawbacks including the method of assessment. As some portals accept

assignments on the web, it gives students more scope for cheating. It also makes learning slower for a

student used to the traditional method of teaching. Online teaching, feel some, can never replace the

chalk-and-talk method. It seems our students still feel more comfortable being taught in traditional

classrooms.

A. On the basis of your reading of the above passage, make notes in points only , using

abbreviations wherever necessary . Supply a suitable title (5)

B. Write a summary of the passage in about 80 words. (3)

SECTION – B : ADVANCED WRITING SKILLS

1. NOTICE

1. You are the Secretary of your school Literary Association. Write a notice in not more than 50 words for your school notice board, giving details of the proposed inauguration of the Literary Association of your school. You are XYZ of Jain Vidyashram, Cuddalore.

2. You are Rohit / Ritu , Secretary, Welfare Association, ABC Colony, Chennai, Write a notice in not more than 50 words to be placed on the notice board informing the residents that there would be no water supply for two days in your colony due to major pipeline repair work.

3. ADVERTISEMENT

1. You are Harish of No. 10 , Kailash Ganj and Lucknow. Draft an advertisement to be

published in the daily. ‘The Hindustan Times’ , under classified columns to dispose off your

car as you are going abroad.

2. Draft an advertisement announcing the launch of special health drink by Health Care Private

Ltd., highlighting its nutritive value.

4. POSTER

You are the Secretary, Red Cross, New Delhi, Get a suitable poster designed prompting the

citizens to volunteer themselves for ‘BLOOD DONATION’ at various camps organized by the Red

Cross in the city.

5. INVITATIONS AND REPLIES

(Formal and Informal)

1. Suman / Suresh has cleared the PMT examination. The family is elated at the achievement and they decide to have a get-together for all their friends. Draft a formal invitation for the get-together

2. You have invited by your friend Diptesh at his 16th birthday party. Write an informal letter expressing your ability to join him.

3. You are Pradhan and have been invited by the Rotary Club to act as one of the judges

of the jury over a debate competition to be held on 14th November. Write a formal reply to accept the invitation

4. You are Mohan / Moly. You have been invited by the Lions Club to act as one of the judges for a fancy dress competition for children. But due to a previous engagement you cannot accept the invitation. Write a formal reply to the President of the Club regretting your inability to accept the invitation

6. LETTERS

1. Write a letter to the Manager (Publication) of Little Flower Company, Hyderadabad placing

an order for 4 books on Management and Administration recently published by them. You are

Rohit / Rohini, Librarian. H.P. Engineering College, Tirupathi

2. We are an upcoming CBSE Sr. Sec. School located at Meerut. We require dynamic, innovative and creative faculty to teach. Urgently needed PGT as English with a degree in Education. Expereince must, Salary negotiable.

3. Your are Buavik/Bhawna of Class XII of Tejas International School, Vijay Nagar,

Bulandshaher. Write a letter to the Manager of the sports Store, Meerut, complaining about a

defective sports watch you purchased from their store. Write as a Sports Secretary of your

school.

7. ARTICLE WRITING

Collect points for all the given topics:

� Possible Topics

� Need for vocational education � Mass cheating in the examinations

� Coaching centres, help or nuisance

� Pressure of competitions and studies on the students

� Increasing indiscipline among students � Increasing environmental pollution

� Women awakening

� Need for preservation of historical monuments

� Preservation of wildlife and conservation of forests � Need for communal harmony and national integration

� Cruelty against animals

� Effect of TV on general people

� Changing life style of Indians � Effect of advertisements and sign boards

� Is there need to censor advertisements?

� Increasing health consciousness/health clubs

� Exam terror � Increasing generation gap

� Need to attract more tourists

� Need to create awareness to abolish child labour � Physical Education in Schools

� Promotion of Girls' Education

� Communalism

� Terrorism

� Corruption

� Saving Every Drop of Water

� School Going Children – Lazy and Disease Prone

� Ragging in Educational Institutions

� Drug Abuse Among Students

� Vocational Training—As a Part of the School Curriculum

� Safety for Pedestrians

� Punishment as a Corrective Measure

� Protection of Wild Life

� Evils of Hitch-Hiking

� The Future of Information Technology

� Smoking –A Silent Killer

� Hike in the Prices of Essential Commodities

� Importance of Reading Books

� Yoga – As Therapy

� Cancer – A Silent Killer

� Grow More Trees

� Road Safety

� Road Rage

� Child Labour

� Child Abuse

� Traffic

� Trafficking

� School Going Children-Lazy and Disease Prone

� Making Sports and Games Compulsory for Students

� Keeping Your School Neat and Clean

� Obesity among School Children

� Gender Bias/ Discriminatory Treatment to Females

� Modern Gadgets have made us Slaves to Machines

� Crucial Role of Mobile Phones / Internet / Social Media

� Ban Plastic

Learn all the questions from the lessons that are taught.

LITERATURE BASED QUESTIONS

FLAMINGO:

Short Answers: (30-40 words)

1. What did Franz notice that was unusual about the school that day?

2. What had been put up on the bulletin-board?

3. What was the temptation and how did Franz resist it?

4. How does M. Hamel pay a tribute to the French language?

Very Important: Learn the name of the author, background of the lesson and message

conveyed.

5. Throw some light on Saheb and his background.

6. How is Mukesh’s attitude to his situation different from that of his family?

7. “Garbage to them is gold”. Why does the author say so about the ragpickers?

8. Why is the narrator embarrassed at having made ‘a promise that was not meant’?

9. Seemapuri is a ‘place on the periphery of Delhi yet miles away from it, metaphorically’. Justify

this statement describing the colony of ragpickers.

10. Do you think Mukesh would achieve his aim? How?

11. “I see two distinct world” says Anees Jung. Draw a contrast between the two.

Very Important: Learn the aptness of the title and the message conveyed.

12. What is the ‘misadventure’ that William Douglas speaks about?

13.How did William Douglas’s aversion to water start?

14. Why did William Douglas grow panicky?

15. How did the instructor make William Douglas a perfect swimmer?

16. “All we have to fear is fear itself”- Who said? Explain the statement.

Very Important: Learn the description of his emotions and condition of his body when he was

under water in the pool and the message conveyed in the lesson.

17.What was the idea of the world linking with the rattrap that the peddler had developed?

18. What was the rattrap that he had fallen into and how did he escape?

19. What made the peddler accept Edla Willmansson’s invitation?

20. Write a few lines about the hospitality of the crofter.

21. Why did the peddler sign himself as Captain von Stahle?

22. How and when did the ironmaster know the truth about the peddler? How did he react after

it?

Very Important: Learn the justification of the title and the message conveyed.

POETRY SECTION:

Short Answers: (30-40 words)

1.What is the kind of pain and ache that the poet feels?

2. Why has the mother been compared to the ‘late winter’s moon?

3. What do the parting words of the poet and her smile signify?

4. Describe the contrast of the scene inside the car with the activities going on outside.

5. Describe the poetic devices used by Kamla Das.

6. What does the poet wish for the children of the slums?

7. What is the message that Stephen Spender wants to give through the poem ‘An Elementary

School Classroom in a Slum’?

8. Describe the contrast between the world that is depicted on the wall and their real world.

9. ‘History is theirs whose language is the sun’. Justify the veracity of this statement.

10. ‘So blot their maps with slums as big as doom’. Why does the poet express such an angry

protest?

11. Who should work for the betterment of the slum children? How?

Very Important: Learn the importance of the key words and phrases like catacombs, pallor,

paper-seeming boy, with rat’s eyes, gnarled disease, squirrel’s game, Shakespeare’s head,

Tyrolese valley, lead sky, awarding the world its world, open-handed map, like bottle bits on

stones, blot their maps, tongues run naked into books, language is the sun etc.

12. Why does Pablo Neruda urge us to keep still?

13. Why shouldn’t we move our arms so much?

14. Justify the title ‘Keeping Quiet’.

15. What does the poet say about different kinds of wars? What alternative does he suggest?

16. How is ‘stillness’ not equal to total inactivity? Explain: “I want no truck with death”.

17. How might a huge silence interrupt the sadness of men?

18. “Under the apparent stillness there is life”. Justify this statement giving an example from the

poem.

19. Why does the poet count up to twelve? What will keeping quiet help us achieve?

VISTAS:

Short Answers: (30 – 40 words)

1. Who is the Tiger King? Why does he get that name?

2. Describe the upbringing of the royal infant?

3. How was the Maharaja in danger of losing his throne? How did he manage to retain it?

4. What does the chief astrologer predict?

5. What was the Dewan’s tiger like? How did he take it into the forest?

6. Why did the shopkeeper fix a high price for the wooden tiger?

7. How did the hundredth tiger take its revenge upon the Tiger King?

8. Who was Dr. Sadao Hoki and where did he live?

9. What was the chief concern of Sadao’s father?

10. Who was Hana? Why did Sadao wait to marry her?

11. How did Yumi and other servants react to the wounded American soldier?

12. Did the old General lack national loyalty? Was it a case of dereliction of duty?

13. How did the couple heal the wound of the American soldier?

14. Why did Dr. Sadao declare: “This man will live in spite of all”?

15. How did Dr. Sadao help Tom in escaping?

SOME IMPORTANT LONG ANSWERS: (125-150 words)

FLAMINGO:

1. Describe Mr. Hamel as a teacher and as a lover of France and French language.

2. Imagine yourself as Franz. Write a letter to your friend describing what transpired at the last

day of M. Hamel’s stay at the school.

3. What was the order from Berlin? How did that order affect the people of Alsace, particularly

M. Hamel and his students?

4. What forces conspire to keep the workers in bangle industry of Firozabad in poverty?

5. Describe the life and living of the ragpickers of Seemapuri.

6. Describe the plight of about 20,000 child-workers who work in furnaces with high

temperature in Firozabad. How are they exposed to the worst health hazards?

7. Describe Mukesh and his dream. Do you think he can achieve it?

8. How did Douglas overcome his fear of water?

9. Why does Douglas as an adult recount a childhood experience of terror and his conquering of

it? What larger meaning does he draw from this experience?

10.Narrate the experience of Douglas at the pool.

11. How does the peddler interpret the acts of kindness and hospitality shown by the crofter,

the ironmaster and his daughter?

12. Compare and contrast the character of the ironmaster with that of his daughter, Edla.

13. What made the peddler finally change his ways?

14. How did the peddler betray the confidence reposed in him by the Crofter in ‘The Rattrap’?

What did he feel about it later?

SOME IMPORTANT LONG ANSWERS: (125-150 words)

VISTAS:

1. Draw a character-sketch of the Tiger King in your own words.

2. How was the hundredth tiger found and hunted down?

3. Write a character-sketch of Dr. Sadao as depicted in your lesson, ‘The Enemy’.

4. Why and how did Dr Sadao help the prisoner of war to escape? Do you find him guilty of

harbouring an enemy?

5. Dr Sadao was compelled by his duty as a doctor to help the enemy soldier. What made Hana,

his wife, sympathetic to him in the face of open defiance from the domestic staff?

************

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