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∵ Ray QP and RP exist on line ST. 

∴ ∠ SQP + ∠ PQR = 180° ⇒ ∠ PQS + ∠ PQR and 

∠SRP + ∠PRT = 180° ⇒ ∠PRQ + ∠PRT 

=> ∠ PQS + ∠ PQR = ∠ PRQ + ∠ PRT 

=> ∠ PQS + ∠ PQR = ∠ PQR + ∠ PRT [ ∵ ∠ PRQ = ∠ PQR Given] 

=> ∠ PQS = ∠ PRT

The given numbers are 14,25,14, 28, 18,17, 18, 14, 23, 22, 14 and 18. 

Arranging the data in ascending order: 

14, 14,14, 14, 17, 18, 18, 18, 22, 23,25, 28 

M₀ = Mode = Maximum number of repeated value of the data

= 14 (Since 14 is occur 4 times) 

M₀ = 14

(i) Equation of x-axis is y = 0. 

(ii) Equation of y-axis is x = 0. 

(iii) Coordinates of origin = (0, 0).

(iv) Coordinates of point P = (x, y)

Prime factorization method

1354 = 2 x 677

3478 = 2 x 37 x 47

HCF = Product of smallest power of each common prime factor = 2

The following reactions cannot be explained by the open chain structure of glucose. (i) Despite having the aldehyde group, glucose does not give 2, 4– DNP test, Schiffs test and it does not form the hydrogensulphite addition product with NaHSO₃ . (ii) The penta acetate of glucose does not react with hydroxyl amine indicating the absence of free —CHO group. (iii) D–Glucose on treatment of methyl alcohol in the presence of dry HCl gas gives two isomeric nonomethyl derivatives known as α-D-glucoside and methyl β– D–glucoside. These glucosides do not reduce fehling solution and also do not react with hydrogen cyanide indicating the absence of free —CHO group. A ring structure called pyranose structure (α- or β-) is proposed for the glucose molecule.

Elements of Play: Most successful playwrights follow the theories of playwriting and drama that were established over two thousand years ago by Aristotle. In his work the Poetics, Aristotle outlined the six elements of drama in his critical analysis of the classical Greek tragedy Oedipus Rex written by the Greek playwright Sophocles, in the fifth century B.C.

The six elements as they are outlined involve: 

Thought/theme/ideas, action/plot, characters, language, music and spectacle.

(a) Thought/theme/ideas: What the play means as opposed to what happens (the plot). Sometimes the theme is clearly stated in the title. It may be stated through a dialogue by a character acting as the playwright’s voice or it may be the theme is less obvious and emerges only after some study or thought. E.g., the abstract issues and feelings that grow out of the dramatic action.

(b) Action/plot: The events of a play, the story as opposed to the theme i.e., what happens rather than what it means. The plot must have some sort of unity and clarity by setting up a pattern by which each action initiating the next rather than standing alone without connection to what came before it or what follows. In the plot of a play, characters are involved in a conflict that has a pattern of movement. The action and movement in the play begins from the initial entanglement, through rising action, climax and falling action to resolution.

(c) Characters: These are the individuals presented in the play that are involved in pursuing the plot. Each character should have his/her own distinct personality, age, appearance, beliefs, socio-economic background and language.

(d) Language: Refers to the word choices made by the playwright and the pronunciation of the actors of the language. Language and dialogue delivered by the characters move the plot and action forward, provides exposition and define the distinct characters. A playwright can create his/her own specific style in relationship to language choices he/she use in establishing character and dialogue.

(e) Music: Music can encompass the rhythm of dialogue and speeches in a play or can also mean the aspects of the melody and music compositions as in a musical theatre. Each theatrical presentation delivers music, rhythm and melody in its own distinctive manner. Music is not a part of every play. But, music can be included to mean all sounds in a production. Music can expand to all sound effects, the actors’ voices, songs and instrumental music played as underscore in a play.

Music creates patterns and establishes the tempo in the theatre. In the aspects of the musical, the songs are used to push the plot forward and move the story to a higher level of intensity. Composers and lyricists work together with playwrights to strengthen the themes and ideas of the play. Characters’ wants and desires can be fortified for the audience through lyrics and music.

Research work collaborates and includes two levels of exploration:-

1. Gathering Data: To identify concerns and issues derived from curriculum, its plan and practice.

2. Reviewing Data: The review of data findings with collaborators helps them to reflect on the material from their interviews and workshops, to extrapolate the principles underpinning the project guidelines.

Artaud believed that the theatre should represent reality and its effect should reach the audience as much as possible. His work ‘The Theatre and Its Double’ were largely discussed.Artaud formulated his ideas into a manifesto and named it the ‘Theatre of Cruelty’. His focus is to give a sensorial experience to the audience with a combination of design and performance skills.

Make-up: 

Make-up, though regarded as necessary, its vast possibilities for effectiveness is generally underestimated, and thus not much heed or importance is given to make-up by directors and even actors. 

Basically, there are two types of make-up: 

the straight make-up and 

the character make-up. 

Straight make-up is generally used to correct the actor’s personal skin tone and to make him or her look little more attractive on stage and the objective of character make up is to change completely or partially actor’s appearance. It is important for the actor and the director to think right from the reading of the play what they want is desired for makeup for a particular character. It is sort of developing a mental visual image of the look of the character. Most of them ignore the hairdo for a character, except when age has to be shown. But it may be necessary to choose a particular hairstyle, say a center parting etc for accentuating the style of hair a particular character needs. Sometimes, wigs may be required to create a style for a character from a period in history.

(i) (a) When a bar magnet is pushed into the coil of insulated copper wire connected to a galvanometer, an induced current is set-up in the coil due to charge of magnetic field through it. As a result, galvanometer gives a deflection (say towards left).
(b) When the bar magnet is withdrawn from inside the coil, again an induced current is set up in the coil due to charge of magnetic field through it. As a result galvanometer gives a deflection in the reverse direction. (say towards right).
(c) If the bar magnet is held stationary inside the coil, then is no induced current in the coil, because there is no change in magnetic field through it. As a result galvanometer does not show any deflection.
(ii) By changing current in another coil placed near it.

Digestive enzymes are hydrolytic enzymes that breaks down the complex substances present in the food to simpler and soluble substances that are readily absorbed by the body. 

e.g., Protein + Enzyme → Peptones + Enzyme → Peptides + Enzyme → Amino acid.  

Thus, the digestive enzymes helps in the digestion of complex foods such as carbohydrates, proteins, etc.

(a) Different forms of organisms/ life have evolved during the course of evolution, and classification deals with grouping of these organisms into groups and subgroup based on their similarities and differences.

(b) The more characteristics of any two species have in common, more closely they are related/ well have a more recent ancestor (and vice versa).

(c) Thus classification helps tracing the evolutionary relationships between the two organisms. Hence classification and evolution are interlinked. 

(i) (a) Implantation: Implantation is the process of attachment of the developing embryo or the fertilized egg with the uterine wall. 

(b) Placenta: A disc-shaped special tissue develops between the wall of the uterus and the embryo for exchange of nutrients, supply of oxygen and excretion of waste products. 

(ii) The average duration of human pregnancy is 280 days or 40 weeks or 9 months.

The relative extent to which the image of an object is magnified with respect to object size. It is the ratio of size of the image to the size of the object.

v = – 40 cm, u = –20 cm, f = ? 

1/ f = 1/ v +1/ u

1/ f = – 1 / 40 + – 1 / 20 

f= - 40 /3cm

Analogous organs: Those organs which have different basic structural designs and origin, but perform similar functions are called analogous organs. 

Homologous organs: Those organs which have the same basic structural design and origin, but perform different functions are called homologous organs. 

Analogous organs from the given list: Wings of an insect, wings of a bat. 

Homologous organs from the given list: Forelimbs of a frog, forelimbs of a human.

Reason: Change in non-reproductive tissues cannot be passed on to the DNA of the germ cells.

Yes, it is possible that a trait is inherited but may not be expressed.
For example, when pure tall pea plants are crossed with pure dwarf pea plants, only tall pea plants are obtained in F₁ generation.
On selfing tall plants of F₁; both tall and dwarf plants are obtained in F₂ generation in the ratio 3:1. Reappearance of the dwarf character, a recessive trait in F₂ generation shows that the dwarf trait was present in individuals of F₁ but it did not express.

(i) Sodium hydroxide reacts with Al corroding the metal and produces highly flammable hydrogen gas. Hence, it cannot be kept in Al containers.

(ii) Silver is a highly unreactive metal so, it does not react with the oxygen of air easily. But silver jewellery tarnishes after some time (turns black) due to the formation of a thin sulphide layer on their surface by the action of hydrogen sulphide (H₂S) gas present in air.

(iii) We cannot use an aqueous solution of sodium chloride to obtain sodium metal because if we electrolyse an aqueous solution of NaCl, then as soon as sodium metal is produced at cathode, it will react with water present in the aqueous solution to form sodium hydroxide. So, the electrolysis of aqueous solution of NaCl will produce NaOH instead of Na metal.

(iv) Al metal reacts with dilute HCl slowly in the beginning due to the presence of a tough protective layer of aluminium oxide on its surface.

Q = 90000 C, t = 1h = 3600 s, V = 40V
I =Q/t=90000/3600= 25 A
R =V/I=40/25= 1.6W
H = I²Rt = 25 × 25 × 1.6 × 3600= 3600 × 10³ J = 3600 kJ
P = I²R = 25 × 25 × 1.6= 1000 W = 1 KW

Menarche is the beginning of menstruation at puberty. It starts at the age of 13-15. 

Menopause is the cessation of menstruation. It happens around 50 years of age.

Response of plants to periods of day/night to initiate flowering.  

Long day plants, short day plants and day neutral plants. 

Detailed Answer : 

Photoperiodism is the response of plants with respect to the duration of light (i.e. period of day and light). Based on the response to the duration of light, a plant is classified into three types: 

(i) Long day plant : Long day plants flower when they are exposed to light for a period more than the critical day length. E.g. Radish. 

(ii) Short day plant : Short day plants flower when they are exposed to light for a period less than the critical day length. E.g. Chrysanthemum. 

(iii) Day neutral plant : Day neutral plants are plants where there is no such correlation between exposure to light duration and induction of flowering response. E.g. Tomato

In computing, a hacker is any skilled computer expert who uses their technical knowledge to overcome a problem or otherwise gains remote access to a protected computer system mainly to get thrill out of it.

A cracker is also a skilled computer expert but he/she breaks into or otherwise violates the system integrity of remote machines with malicious intent. Having gained unauthorized access, crackers destroy vital data, deny legitimate users service, or cause problems for their targets.

Few netiquettes are as follows: 

• Respect other‟s privacy 
• Acknowledge and return messages promptly.
• No spamming
• When typing never write in all capital letters. That is considered shouting.

(i) Inheritance is an Object Oriented Programming feature which is illustrated by the definitions of classes FIRST and SECOND. 

(ii) Statement1

S.FIRST :: Display();

Statement 2

S.SECOND :: Display();

The possible output is 

(iv) [email protected]@[email protected] 

The highest value of array A = 14 

The lowest value of array A = 11

Function1, Function2 and Function 5 can be considered as overloaded function in the same program.

a. y has to be initialized

b. long & float both are different data types.

c. A should be written in single quotes ('A').

d. \n can not be taken as input as it is an escape sequence

(i) float f,fp;

fp=&f;

(ii) grant= (speed>68) ? 10:68;

An array is a collection of homogenous data members (eg) int a[10]; contains 10 integers indexed from 0 to 9.

The structure is a collection of heterogeneous data members.

(eg) struct student

{

int rollno;

char name [20];

};

(i) print I

(ii) The statement 2 is giving an error because __Systemdate is a private variable and hence cannot be printed outside the class.

(i) __init__ function is used to initialize the members of a class. It is automatically invoked when the object of the class is created.

(ii) (a) T=Toy()

(b) hasattr(T,tprice)

class train:

def __init__(self):

_src=""

_tnm=""

_dest=""

_charges=0.0

def getdata(self):

if self._dest=="mumbai" or self._dest=="MUMBAI":

self._charges=1000

elif self._dest=="chennai" or self._dest=="CHENNAI":

self._charges=2000

elif self._dest=="kolkata" or self._dest=="KOLKATA":

self._charges=2500

def inputdata(self):

self._src=raw_input("enter the source of journey")

self._tnm=raw_input("enter the train name")

self._dest=raw_input("enter the destination")

def displaydata(self):

print "the source of journey is",self._src

print "the name of the train is",self._tnm

print "the destination of the train is",self._dest

t.getdata()

print "the charges for your journey",self._charges

(i) New Delhi

Faridabad

Gurugram

(ii) 2

(iii) 11000

(iv) Ms. Neena

(i) Select count(name) from training where name like ‘Ms.%’;

(ii) Select * from training where fee is NULL;

(iii) Select city, fee from training where topic = ‘Cyber Security’;

(iv) Alter table training add feedback varchar(20);

Overnance 

• Filing of online application forms for Aadhar card, passport 
• Filing of IT returns online 
• Registering an online complaint for any grievance related to government 

Ommerce 

• Able to do online transactions
• No need to go to bank for updating the passbooks depositing the money 
• Online shopping

<HTML>

<HEAD> 

<TITLE> My Cities</TITLE> 

</HEAD> 

<BODY bgcolor=”yellow”> 

<UL type=”square”> 

<LI> DELHI </LI> 

<LI> MUMBAI </LI> 

</UL> 

</BODY> 

</HTML>

fstream/ ifstream

(i)  Candidate Key: Pno, Name

(ii)  Degree:4

Cardinality:5

fstream/ ifstream

SELECT TNAME, CITY, SALARY FROM TRAINER ORDER BY HIREDATE;

(i)  SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE BETWEEN ‘2001-12-01’ AND ‘2001-12-31’; OR

SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE >= ‘2001-12-01’ AND HIREDATE<=‘2001-12-31’;

OR

SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE LIKE ‘2001-12%’;

(ii)  SELECT TNAME,HIREDATE,CNAME,STARTDATE FROM TRAINER, COURSE WHERE TRAINER.TID=COURSE.TID AND FEES<=10000;

(i) Candidate Key: Pno, Name

(ii) Degree:4

Cardinality:5

void CQUEUE : : Ins_Player( )

{

if((Front==0 && Rear==size-1) || (Front==Rear+1)

{

cout<< “Overflow”;

return;

}

else if(Rear = = -1)

{

Front=0;

Rear=0;

}

else if(Rear= =size-1)

{

Rear=0;

}

else

{

Rear++;

}

cout<< “Enter Player Id=”;

cin>>Ar[Rear].Pid;

cout<< “Enter Player Name=”;

gets(Ar[Rear].Pname);

}

(i) SELECT TNAME, CITY, SALARY FROM TRAINER ORDER BY HIREDATE;

(iii) SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE BETWEEN ‘2001-12-01’ AND ‘2001-12-31’;

OR

SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE >= ‘2001-12-01’ AND HIREDATE<=‘2001-12-31’;

OR

SELECT TNAME, CITY FROM TRAINER WHERE HIREDATE LIKE ‘2001-12%’;

(iii) SELECT TNAME, HIREDATE, CNAME, STARTDATE FROM TRAINER, COURSE WHERE TRAINER.TID=COURSE.TID AND FEES<=10000;

(iv) SELECT CITY, COUNT(*) FROM TRAINER GROUP BY CITY;

(v) TIDTNAME

103   DEEPTI

106   MANIPRABHA

(vi) DISTINCT TID

101

103

102

104

105

(vii) TIDCOUNT(*)MIN(FEES)

101   2   12000

(viii) COUNT(*)SUM(FEES)

4    65000

struct Book

{

int BNo;

char BName[20];

Book *Next;

}*temp,*top;

void pop()

{

temp=new Book ;

temp=top;

top=top->next;

delete temp;

}

void RevText( )

{

ifstream Fin(“Input.txt”);

char Word[20];

while(!Fin.eof())

{

Fin>>Word;

if(Word[0]==’I’)

strrev(Word);

cout<<Word<< “ ”;

}

Fin.close( );

}