CHANDERBALA MODI ACADEMY

Session(2018-19)

Holiday Homework

Class XII

Subject : English

1. Collect brochures and advertisements that comes with the newspapers (min 10 in

English) try to find out the outstanding features of them (i.e. the arrangement of pictures,

written literature (information) arrangement of information (literature), make points

(minimum 10 to 12 points each)

2. Write articles on any five of the topics on the current happenings in and around India.

3. Novel – Silas Marner:

Read Lesson 1-15 and write question and answers given at the end of the chapter.

4. Collect various Invitation Cards as many as you can, try to find out the outstanding

features of them (i.e. language, pattern, arrangement of information (literature), make

points (minimum 8 to 10 points each)

NOTE: THE ABOVE HOMEWORK IS TO BE DONE IN THE ENGLISH CLASS WORK

NOTE BOOK.

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Subject: Physics

1. Complete NCERT exercises from chapter 1 to 5.

2. Make Physics project on one of the following topics:

(i) RECTIFIER CIRCUIT

(ii) REGULATED POWER SUPPLY

(iii) CELL CHARGER

(iv) CLAP SWITCH

(v) LOGIC GATES

(vi) AMPLIFIER CIRCUIT

(vii) BURGLAR ALARM

(viii) DIGITAL COUNTER

(ix) AUTOMATIC STREET LIGHT CONTROLLER

(x) WATER LEVEL INDICATOR

(xi) FM RECEIVER

(xii) ANY OTHER ELECTRONIC GADGETS

2 .Make project file (printed pages)

3. One project can be made by a group of 2 or 3 students depending upon the cost of the

project, but project files should be individual.

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Subject: Chemistry

TOPIC: ALKYL HALIDE,ARYL HALIDE AND ALCOHOL;

Q1. Primary alkyl halide (a) C4H9Br was reacted with aqueous KOH leads to the formation

Of compound (b) compound (b) was reacted with HBr to give (c) which was an isomer

Of (a) .When (a) was reacted with sodium metal, it give a compound (d) C8H18 that was

Different from the compound when n butyl bromide was reacted with sodium. Give the

Structural formula of (a) and write the equation for all the reactions.

Q2.The treatment of alkyl chloride with aqueous KOH leads to the formation of alcohol but

in presence of alcoholic KOH, alkenes are the major products .Explain.

Q3. How will you convert the following?

(i) Propene to propan-1-ol

(ii) Ethanol to but- 1 –yne.

(iii) Benzyl alcohol to 2 phenyl ethanoic acid

Q4. Explain why

(i) Dipole moment of chlorobenzene is lower than that of cyclohexyl chloride.

(ii) Alkyl halide though polar, are immiscible with water.

(iii) Grignard reagent should be prepared under anhydrous condition.

Q5.What are ambident nucleophile? Explain with example.

Q6. Write the equation involved in the following reactions:

(i) Reimer Tiemann reaction

(ii) Kolbes reaction

Q7.What is meant by hydroboration oxidation reaction? Illustrate with an example.

Q8. In separating a mixture of ortho and para nitro phenol by steam distillation, name the

Isomer which is sateam volatile? Give reason

Q9. Give the equation for the preparation of phenol from cumene.

Q10. Write the mechanism of hydration of ethene to yield ethanol.

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Subject: Mathematics

Chapter 1

Relation and Functions

1 Mark Questions

Q1 A relation R in a Set A is called ..........., if each element of A is related to

every element of A

Q2. Let A = {1, 2, 3}. Then find the number of equivalence relations containing

(1, 2) .

Q3 If f(x) = ax + b and g(x) = cx + d, then show that f[g(x)] – g[f(x)] is equivalent to f(d) –

g(b).

Q4

Let f (x) = , then if fof= x, then find d in terms of a

Q5 In the group (Z, *) of all integers, where a * b = a + b + 1 for a, b Z, then what is the

inverse of – 2 ?

Q6 If f : R R and g : R R defined by f(x)=2x + 3 and g(x) = + 7, then

find the value of x for which f(g(x))=25 .

Q7 Find the Total number of equivalence relations defined in the set

S = {a, b, c }

Q8 Find whether the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2),

(3, 3), (1, 2), (2, 3)} is reflexive,symmetric or transitive.

Q9 Show that the function f : N N, given by f (x) = 2x, is one-one but not

onto.

Q10 Find gof and fog, if f : R R and g : R R are given by

f (x) = cos x and g (x) = 3x2.

Q11 Find the number of all one-one functions from set A = {1, 2, 3} to itself.

Q12 Let A = {1, 2, 3}. Then find the number of equivalence relations

containing (1, 2) .

Q13 State with reason whether following functions have inverse

f : {1, 2, 3, 4} {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)}

4 Marks Questions

Q1 Let be a function defined as . Show that

where, S is the range of f is invertible. Find the inverse of

Q2 Show that the Relation R in the set is an

equivalence relation.

Q3

Show that the function : given by is

neither one-one nor onto

Q4 If consider the function defined by

. Is one- one and onto? Justify your answer.

Q5 Let be two functions given by f(x) = 2x - 3,

g (x) = x3 + 5.Find fog-1(x)

Q6 Check the injectivity and surjectivity of the following:

(i)

(ii). given by

Q7 Determine whether the following relations are reflexive, symmetric, and

transitive if relation R,in the set N of Natural numbers is defined as

.

Q8 Consider the binary operation on the set defined by

. Write the operation table of the operation .

Q9 Let the * be the binary operation on N be defined by H.C.F of a

and b. Is * commutative? Is * associative? Does there exist identity for this

operation on N?

Q10 Let and be function

defined by and . Then, are

and equal? Justify your answer.

Q11 Let and be functions from . Then show that

(i)

(ii)

Q12 If be a function defined by f (x) = 4x3–7. Then show that f is

bijection.

Q13 Show that f : [–1, 1] ЄR, given by f (x) = x/(x+2) is one-one. Find the

inverse of the function f : [–1, 1] & Range f.

Q14 Let N be the set of all natural numbers. R be the relation on N X N defined by (a,b) R (c,d) iff ad = bc Show that R is equivalence.

Q15 Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1 be a relation in X given by R1 = {(x,

y) : x – y is divisible by 3} and R2 be another relation on X given by

R2 = {(x, y): {x, y} {1, 4, 7}} or {x, y} {2, 5, 8} or {x, y} {3, 6, 9}}. Show

that R1 = R2.

6 Marks Questions

Q1 Let N be the set of all natural numbers. R be the relation on N X N

defined by (a,b) R (c,d) iff ad = bc Show that R is Equivalence

relation

Q2

Q3

Is the function one-one onto Q4 A function f over the set of real numbers is defined as

Find whether the function is one-one or

onto

Q5

If , Show that for all . What is the

inverse of ?

Q6 Define a binary operation * on the set as

Show that 0 is the identity for this operation and each element of the set is

invertible with being the inverse of .

Chapter 3 Matrix 1 Mark Questions

Q1 Write the number of possible matrices which can be made if it has 12 elements.

Q2 Let A = [aij] be a matrix of order 2 x 3 and

aij = ji

ji

, write the value of a23.

Q3 If

ab

ba

5

2 =

85

26 find the relation between a and b.

Q4 If following information regarding the number of men and women

workers in three factories I, II and III is written in the form of 3 x 2

matrix. What does the entry in third row and second column represent?

Men workers Women workers

Factory I 30 25

Factory II 25 31

Factory III 27 26

Q5

If , A = [aij] =

270

941

532

and B = [bij] =

21

43

12

Write the value of (i) a22 + b21

(ii) a11 b11 + a22 b22

Q6 Is it possible to have the product of two matrices to be the null matrix

while neither of them is the null matrix? If it is so, give an example. Q7 Under what conditions is the matrix equation

A2 - B2 = (A-B)(A+B) is true. Q8 Write the order of matrix B if A is any matrix of order m x n such that

AB and BA both are defined. Q10

If A = 521 B =

7

1

2

write the orders of AB and BA. Q11 Give an example of two non-zero matrices A and B such that

AB = 0 but BA 0. Q12

If A =

01

00 find A6.

Q13 If A =

and A2 = I, find the value of 2 +

Q14 If A =

xx

xx

sincos

cossin

0 < x < 2

and A + A = I,

where I is unit matrix, find value of x. Q15 If the following matrix is skew symmetric, find the values of a, b, c.

A =

01

12

30

c

b

a

Q16 If A and B are symmetric matrices and AB = BA, prove that

matrix X = AB is also symmetric.

Q17 If A and B are square matrices of same order and B is symmetric,

show that A BA is also symmetric.

Q18 Give an example of a matrix which is both symmetric

and skew symmetric

Q19

01

32 = P + Q, where P is symmetric and Q is

skew symmetric matrix, find the matrices P and Q.

Q20 If A is square matrix then write the value of

A(AdjA)

4 Mark Questions

Q1 For what values of x and y are the following matrices equal

A =

yy

yx

50

3122

B =

60

23 2yx

Q2 Find matrix A such that 2A-3B+5C = 0 where,

B =

413

022 C =

617

202

Q3 Find the values of x and y for which the following matrix equation

A-3B = C is satisfied, where

A =

2

2

y

x B =

y

x

2 C =

9

2

Q4 Let f(x) = x2 – 5x + 6 , find f(A)

If, A =

011

312

102

5. If, A =

11

0 and B =

15

01find all those values of α for which

A=B.

Q6 . Using Principle of Mathematical Induction, prove that

An =

nn

nn

21

421 Where, A=

11

43

6 Mark Questions

Q1 If A =

57

13 find x, y such that A2 + xI = yA

Hence find A-1.

Q2

. If A =

111

111

111

Prove that, A =

111

111

111

333

333

333

nnn

nnn

nnn

for

every positive integer n.

Q3 The sum of three numbers is -1. If we multiply the second number by 2 ,

third number by 3 and add them we get 5. If we subtract the third number

from the sum of first and second numbers we get -1. Represent it by a

system of equations . Find the three numbers using inverse of a matrix .

Chapter 4

DETERMINANTS

1 Mark Questions

Q1 If A is a square matrix of order 3 and | A | = 5, find the value of A3

Q2 If is cube root of unity find the value of

=

11

1

2

2

2

Q3 Find the value of determinant

=

25612864

32168

421

Q4 Find the value of determinant

=

yxxzzy

zyx

222

Q5 If a, b, care in A.P. find the value of determinant

=

cxxx

bxxx

axxx

43

32

21

Q6 For what value of k, the matrix

53

2 k has no inverse

Q7 A B C are three non zero matrices of same order, then find the condition

on A such that AB = AC B = C

Q8 Let Abe a non singular matrix of order 3 x 3, such that AdjA =100,

find A .

Q9 If A is a non singular matrix of order n, then write the value of Adj(AdjA) and

hence write the value of Adj(AdjA) if order of A is 3 and | A | = 5

Q10 Let A be a diagonal A = (d1, d2, ……………, dn ) write the value of | A |.

Q11 Using determinants find the value of the line passing through the points (-1,3)

and (0,2).

Q12 Using determinants find the value of k for which the following system of

equations has unique solution,

2x – 5y = 26

3x + ky = 5

4 Mark Questions

Q1 If A = [aij] is a 3 x 3 matrix and Aij’s denote cofactors of the corresponding

elements aij’s then write the value of ,

( i) a11 A11 + a 11A11 + a 11A11

(ii) a12 A12 + a 22A22 + a 32A32

(iii) a21 A11 + a 22A12 + a 23A13

(iv) a11 A13 + a 21A23 + a 31A33

Q2 If x R, /2 x 0 and

x

x

sin1

1sin2 =

xsin4

03

find the values of x.

Q3

If a ,b, c are all distinct and 32

32

32

1

1

1

ccc

bbb

aaa

= 0, find the values of a, band

c.

Q4 If x is a real number then show that if

=

1sin1

sin1sin

1sin1

x

xx

x

then , 2 4

Q5 If x , y, z are real numbers such that x + y + z = then find the value of ,

0)tan()cos(

tan0sin

cos)sin()sin(

zyyx

xy

zzxzyx

Q6 Without expanding find the value of the following determinant,

=

)cos(cossin

)cos(cossin

)cos(cossin

Q7 Find value of k, if area of the triangle with vertices P ( k ,0) , Q (4,0) and

R(0,2) is 4 square units

Q8 If A =

1tan

tan1

x

x show that A A-1 =

xx

xx

2cos2sin

2sin2cos

Q9

Prove that,

qpp

qpp

qpp

3610363

234232

111

= 1

Q10

Using properties prove that,

xxx

xxx

xxx

21

32

43

= 0

where , , are in A.P.

Q11

Prove that,

xxyx

xxyx

xxyx

38810

2445

= x3

6 Mark Questions

Q1

If a ≠ p b ≠ q c ≠ r and

rba

cqa

cbp

= 0 find the value of

ap

p

+

bq

q

+

cr

r

Q2 For the matrix A =

11

23 find the numbers a and b such that

A2 + aA + bI = O. Hence find A-1.

Q3 Solve the equation if a 0 and

axxx

xaxx

xxax

Q4

Show that the value of the determinant =

bac

acb

cba

is negative , It is

given that a , b , c , are positive and unequal.

Q5 Using matrix method, determine whether the following system of

equations is consistent or inconsistent.

3x – y - 2z = 2

2y – z = -1

3x – 5y = 3

Q6

. If A-1.=

225

5615

113

and B =

120

031

221

find (AB)-1.

Q7

Let A =

511

132

121

then, verify that, (AdjA)-1 = Adj(A-1)

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Subject: Biology

1. What are vegetative propagules? Explain any five with an example.

2. Differentiate between: a) Gametogenesis & Embryogenesis.

b) Oviparous & Viviparous animals.

c) Internal & External Fertilisation.

3. Why have higher organisms resorted to sexual reproduction in spite of its complexity?

4. Explain all the different types of Asexual Reproduction shown by Unicellular Organisms.

5. Explain the development of a mature Embryo from Embryo Sac.

6. Give reasons: a) Groundnut seeds are exalbuminous and castor seeds are albuminous.

b) Micropyle remains as a small pore in the seed coat of a seed.

7. Is pollination and fertilization necessary in Apomixis? Give reasons.

8. Write the salient features of anther, pollen and stigma of wind pollinating flowers.

9. Draw the microscopic structure of Human Sperm.

10. Explain Spermatogenesis. How is it different from Oogenesis?

11. Explain the Menstrual Cycle of Human Female.

12. Draw and explain the Female Reproductive System.

13. What are IUDs? How do they function?

14. What is Amniocentesis? Justify the statutory ban on it?

15. Write short note on MTP.

16. Explain any five reasons for introducing sex education in school.

17. A non-haemophilic cou[ple was informed by their doctor that there is possibility of a

haemophilic child , to be born to them. Explain the basis on which the doctor conveyed this

information. Give the Genotypes and the Phenotypes of all possible children who could be

born to them.

18. Why did Mendel select Garden Pea for his research work? Write all the contrasting

features studied by Mendel in Garden Pea.

19. Draw the structure of DNA. Explain any six salient features of DNA.

20. Write the Laws of: a) Independent Assortment b) Law of Segregation.

Subject: BioTechnology

Q1) What do you mean by RFLP? How is it used in forensic science?

Q2) Write down the role of DNA LIGASE and ALKALINE PHOSPHATASE in rDNA

technology?

Q3) Explain the features an ideal vector should contain?

Q4) Write the difference between PBR322 and PUC vector's?

Q5) What are shuttle vectors and expression vectors?

Q6) With figure explain lifecycle of M13 phage?

Q7) Difference between YAC and BAC?

Q8) Why is E.coli considered as one of the best prokaryotic host cell?

Q9) Give reasons for using yeast as a host?

Q10) Write down the methods of introducton of rDNA inside the host cell?

Q11) What is insertional inactivation? Explain this using replica plate method.

Q12) Why is blue-white selection method for screening the recombinants prefered?

Q13) Write down the principle of PCR technique, its basic requirements and steps with a neat

diagram.

Q14) Explain the southern hybridisation technique.

Q15) Difference between genomic and cDNA library.

Q16) Explain making of genomic DNA library.

Q17) Why is cDNA library preffered over genomic library?

Q18) Explain Sanger's sequencing method.

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Subject: Computer Science

Q.1) Predict output of the following programs:

(I) #include<iostream.h>

void main()

{

int A[][3]= {{1,2,3},{5,6,7}};

for(int I = 1; i<2; i++)

{

cout<<A[i][j];

cout<<”*\n”;

}

cout<<A[0][2] * A[1][2];

cout<<”*\n”;

}

(II) #include<iostream.h>

#include<ctype.h>

void main( )

{

char Mystring[ ] = “ WonDerFul#dAy! ”;

for( int K=0; Mystring[K] != ‘\0’ ; K++ )

{

if ( !isalpha(Mystring[K] ))

Mystring[K] = ‘@’;

else if (isupper(Mystring[K]))

Mystring[K] = Mystring[K] + 1 ;

else

Mystring[K] = Mystring[K + 1] ;

}

cout << Mystring ;

}

(III) #include<iostream.h>

void Position(int &c1, int c2 =3)

{

c1+=2;

c2+=Y;

}

void main()

{

Int P1=20,P2 = 4;

Position(P1);

cout<<P1<<”,”<<P2<<endl;

Position(P2,P1);

cout<<P1<<”,”<<P2<<endl;

}

(IV) Find the possible output(s) from the following options :

#include<iostream.h>

#include<stdlib.h>

void main( )

{

randomize( );

char COLOR[ ][10] = {“RED”, “BLUE”, “GREEN”, “Yellow”};

int Paint ;

for (int I=1; I<=2 ; I++)

{

Paint = random(2) + 1;

cout << COLOR [Paint] << “ : ” ;

}

}

(a) BLUE : GREEN : BLUE (c) RED : BLUE : GREEN

(b) BLUE : GREEN : YELLOW (d) BLUE : GREEN : GREEN

Q.2) Create a class with the following specifications :

Private Members :

• Roll_No Integer

• Name String

• Eng_marks float

• Maths_marks float

• Sci_marks float

• Percentage float

• Grade Single character

• A function Calc_Grade to calculate Percentage and assign grade as per the

following criteria :

Percentage Grade

< 50 ‘F’

>=50 < 60 ‘D’

>=60 < 75 ‘C’

>=75 < 90 ‘B’

>=90 < 100 ‘A’

Public Members :

• A Constructor to assign Name with “NULL”, Eng_marks, Maths_marks,

Sci_marks with 0 and Percentage with 0.0

• A function Get_Marks( ) to accept values for Roll_No, Name, Eng_marks,

Maths_marks, Sci_marks

• A function Put_Marks( ) to call function Calc_Grade and display values of all

the data members of the class.

• A destructor should also be declared for the above class.

Q.3) Answer the following questions after going through the following class :

class JOB

{

int Job_Id;

char Job_Type;

public :

~ JOB( ) // Statement 1

{ cout << “Resigned” ; }

JOB( ) // Statement 2

{ Job_Id = 10 ; Job_Type = ‘S’ ; }

JOB( int Id, char Ch ) // Statement 3

{ Job_Id = Id, Job_Type = Ch ;}

JOB( JOB &J ) ; // Statement 4

void getdata( ); // Statement 5

void putdata( ); // Statement 6

}

(i) Which OOP concept is illustrated by Statements 2,3,4 together ?

(ii) What is Statement 1 called ? When is it invoked ?

(iii) Which statement will be automatically invoked for the following declaration ?

JOB J1;

(iv) Write a C++ declaration statement to automatically call Statement 2.

(v) Write the complete definition for Statement 4.

(vi) What is the difference between Statements 1 & 2 ?

(vii) Write a C++ declaration statement to call Statement 6.

(viii) Can objects of class JOB access Job_Id or Job_Type ? Why?

Q.4) Answer the following questions based on the following code :

class FaceToFace

{

char CenterCode[10];

public :

FaceToFace( );

void Input( );

void Output( );

};

class Online

{

char Website[50];

public :

Online( );

void SiteIn( );

void SiteOut( );

};

class Training : public FaceToFace, private Online

{

long TCode;

float charge;

int period;

public :

Training( );

void Register( );

void Show( );

};

(i) Which type of inheritance is depicted in the above example?

(ii) Name all members accessible from the object of class Training.

(iii) How many bytes will object of following classes require?

Training , Online, FaceToFace

(iv) Name the data members accessible from function SiteIn( ) of class Online.

(v) Name the member functions accessible by the objects of class FaceToFace.

(vi) List the order of constructor execution for object of class Training.

(vii) List the order of destructor execution for object of class Training.

(viii) Will the object of class Training use CenterCode data member? Why?

(ix) List the data members accessible from function Register( ) of class Training.

(x) Are constructors of a class inherited? Why?

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