(deng 21) - anucde · (ii) why did mr. king go the mephis? (iii) why did police relatiate strongly?...

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(DENG 21) B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE EXAMINATION, DECEMBER 2011. (Examination at the end of Second Year) Part I — English Paper II — GENERAL ENGLISH Time : Three hours Maximum : 100 marks SECTION A 1. (a) Read the following passage carefully and answer the questions that follow : (5) In March, 1961, black sanitation workers in Memphis struck work protesting against unequal pay and poor working conditions. Martin Luther king went to Memphis to lead the workers demonstration. The demonstration turned violent and the police retaliated strongly. Addressing a rally on April 2, king spoke of threats on his life and urged his followers to carry on the struggle in a non-violent way. No one had imagined that king would be strunk down by an assasins bullet the next evening. (i) Why did the workers of Memphis strike work? (ii) Why did Mr. King go the Mephis? (iii) Why did police relatiate strongly? (iv) What did Luther king ask his followers to do? (v) When was Luther king struck down? (b) Read the following passage carefully and answer the questions that follows choosing the right answer: (5) There is a story of a man who thought he had a right to do what he liked one day this gentleman was walking along a busy road, skinning his walking stick round and round in his hand, and trying to look important. A man walking behind him objected.’’ you ought not to spin your walking stick round and round like that! he said. ‘‘I am free to do what I like with my walking strick’’ argued the gentleman. ‘‘Of course you are’’, said the other man but’’ you ought to know that your freedom ends where my nose begins’’. The story tells that we can enjoy our right and our freedom only if they do not interfere with other people’s rights and freedom (i) The gentleman was moving his walking stick round and round to (1) hurt other people (2) look important (3) make himself free (4) end his freedom (5) walk along the road (ii) —————— they do not interfere with other —————— ‘they’ here refers to (1) rights (2) ends (3) other people (4) the gentleman and the other man (5) rights and freedom

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(DENG 21)

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part I — English

Paper II — GENERAL ENGLISH

Time : Three hours Maximum : 100 marks

SECTION A

1. (a) Read the following passage carefully and answer the questions that follow : (5)

In March, 1961, black sanitation workers in Memphis struck work protesting against unequal pay and poor working conditions. Martin Luther king went to Memphis to lead the workers demonstration. The demonstration turned violent and the police retaliated strongly. Addressing a rally on April 2, king spoke of threats on his life and urged his followers to carry on the struggle in a non-violent way. No one had imagined that king would be strunk down by an assasins bullet the next evening.

(i) Why did the workers of Memphis strike work?

(ii) Why did Mr. King go the Mephis?

(iii) Why did police relatiate strongly?

(iv) What did Luther king ask his followers to do?

(v) When was Luther king struck down?

(b) Read the following passage carefully and answer the questions that follows choosing the right answer: (5)

There is a story of a man who thought he had a right to do what he liked one day this gentleman was walking along a busy road, skinning his walking stick round and round in his hand, and trying to look important. A man walking behind him objected.’’ you ought not to spin your walking stick round and round like that! he said. ‘‘I am free to do what I like with my walking strick’’ argued the gentleman.

‘‘Of course you are’’, said the other man but’’ you ought to know that your freedom ends where my nose begins’’.

The story tells that we can enjoy our right and our freedom only if they do not interfere with other people’s rights and freedom

(i) The gentleman was moving his walking stick round and round to

(1) hurt other people

(2) look important

(3) make himself free

(4) end his freedom

(5) walk along the road

(ii) —————— they do not interfere with other —————— ‘they’ here refers to

(1) rights

(2) ends

(3) other people

(4) the gentleman and the other man

(5) rights and freedom

(DENG 21) 2

(iii) A man walking behind the gentleman

(1) objected

(2) argued

(3) agreed

(4) laughed

(5) thought

(iv) This is the story of a man who thought

(1) he was a gentleman

(2) he was invalized

(3) he could spin his walking - stick round and round

(4) he had a right to do what he liked

(5) he had a right to walk along a busy road

(v) We can enjoy our rights and freedom only

(1) When we are free to do what we like?

(2) When we know what freedom actually means?

(3) When we can defend our rights?

(4) When we are civilized?

(5) When they do not interefere with other people’s rights and freedom?

2. Answer any TWO of the following in not more than 100 words each : (2 5 = 10)

(a) Summarise the message that Helen Keller Conleys to mean and women regarding their use of ‘‘senses’’?

(b) Describe the factors that constitute a knowledge society according to Abdul Kalam?

(c) According to Barnum, what kind of people achieve ‘‘Pecuniary In depended?

(d) Do you think Russell’s vidos on war and peace are relevant in today’s world? Justify your answer.

3. Answer any ONE of the following in about 200 words : (10)

(a) Attempt a summary of Abdul Kalam’s views on the knowledge society.

(b) Write a note on the experiences of Gandhi in London.

(c) Critically examine the personality of Day Hammansk Jold’s as revealed in ‘‘The Day Day Hammanskjold Role in My Jeep’’.

SECTION B

(Poetry)

4. (a) Answer any ONE of the following in not more than 100 words : (5)

(i) Explain the sad plight of Londoners.

(ii) Generally Shelley known as for intellectualizing nature, but here in this ode we found him spiritualizing it Do you agree?

(iii) Bring out the poetic merits of ‘Ode to A Nightingale’.

(DENG 21) 3

(b) Explain any ONE of the following : (5)

(i) How the Chimney sweepers by Every blackening church appalls and the hapless soldiers sign?

(ii) If I were a dear leaf thou mightiest bear?

(iii) My heart aches, and a drowsy numbers pains.

My sense, as though of hemlock had drunk.

5. Answer any ONE of the following in 200 words :

(a) Attempt a critical appreciation of ‘The gift of India’’. (10)

(b) Bring out the poetic merits of Kamala Das in Advice to following swimmers.

(c) Critically examine the central theme of Mending Hall.

6. Answer any ONE of the following in 200 words : (10)

(a) Write an essay on the psychological portrayal of middle class agony in chekkov’s short story ‘‘The lottery ticket’’.

(b) Critically analyse the short story Alan paton's Ha’penny.

(c) How does Tagore feel towards suffering people in the short story Subha?

SECTION C

(Language works)

7. Read the following passage and make a note of the main points : (8)

The first big football match that was played in spain led to an uncontrollable riot. As soon as strong feelings of rivalry are aroused, the notion of playing the game according to the rules always vanishes. People want to see one side on top and the other side humiliated, and they forget that victory gained through cheating on through the intervention of the crowd is meaningless. Even when the spectators dont inference physically they try to influence the game by cheering their own side and ‘rattling opposing players with boos and insults.

8. Write an Essay on ONE of the following : (8)

(a) Computer Education

(b) National Integration

(c) Religion society and government

9. Answer ONE of the following : (8)

(a) Write an informative report about supermarkets in your area.

(b) Write a repot on the condition of women in the rural areas.

10. Use FOUR of the following idioms and phrases in your own sentences : (8)

(a) Bag and baggage

(b) Bed of roses

(c) Cock of the Walk

(d) Fool proof

(e) Give away

(f) Hard and fast

(g) In the long run

(h) Jack of all trades.

(DENG 21) 4

11. Answer any ONE of the following : (8)

(a) Two friends meet after some years. They discuss their education etc. Write dialogue between them.

(b) Write a dialogue between two persons at a post office between the clerk there and your friend.

(c) Write a letter in the form of a circular announcing the sale of the goods, mentioning if there is any reduction in the prices.

(d) Write a letter to your friend about a week-end this you made.

—————

(DHIN 21 (NR))

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE

EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part I — Hindi

Paper II — GENERAL HINDI

Time : Three hours Maximum : 100 marks

1. {ZåZ{b{IV nÚm§em| H$s gàg§J ì`m»`m H$s{OE& (24)

(a) (i) a{h_Z nmZr am{IE, {~Z nmZr A~ gyZ&

nmZr J o Z D$~a¡, _moVr _mZwg MyZ&& AWdm

(ii) Eogr ~mZr ~mo{bE, _Z H$m Amnm Imo`&

Am¡aZ H$mo erVb H$a¡-Anhþ erVb hmo`&&

(b) (i) _oamo ^d ~mYm ham¡, amYm ZmJar gmo`

Om VZ H$s Pm±Bª na¡ í`m_ h[aV Xþ{V hmo`&&

AWdm

(ii) Mmh aho OyR>r nVb do H$^r g‹S>H$ na I‹S>o hþE&

Am¡a PnQ> boZo H$mo CZ go Hw$Îmo ^r h¡, A‹S>o hþE&&

(DHIN 21 (NR)) 2

(c) (i) Mb n‹S>o {OYa Xmo S>J _J _|,

~‹T> Mbo H$mo{Q> nJ Cgr Amoa&

n‹S> JB© {OKa ^r EH$ Ñ{ï>

J‹T> J o H$mo{Q> ÑJ Cgr Amoa&&

AWdm

(ii) {h_mb` Ho$ A±mJZ _| Cgo àW_ {H$aUm| H$m Xo Cnhma&

Cfm Zo h±g A{^ZÝXZ {H$`m Am¡a nhZm`m hraH$ hma&

2. {H$gr EH$ H${dVm H$m gmam§e {b{IE& (10)

(a) {ejwH$

(b) H¡$Ho$B© H$m níMmVomn

(c) wJmdVma ~mny&&

3. {H$gr EH$ H${d H$m n[aM` Xr{OE& (10)

(a) VwbgrXmg

(b) O`e§H$a àgmX

(c) am_Ymar qgh {XZH$a

(DHIN 21 (NR)) 3

4. {H$gr EH$ {df` na {Z~§Y {b{IE& (20)

(a) XhoO àWm

(b) XoemXZ

(c) {dkmZ go hm{Z-bm^

5. {H$gr EH$ gm{hpË`H$ {df` na {Z~§Y {b{IE& (20)

(a) draJmWm H$mb

(b) am_^pŠV emIm – VwbgrXmg

(c) N>m`mdmX

(d) {hÝXr ZmQ>H$ - O`e§H$a àgmX&

6. {hÝXr _| AZwdmX H$s{OE& (16)

Laughter is indicative of joy. A man who laughs

radiates a happiness and wins friends one who is

incapable of laughter misses the zeal of life.

Laughter can be the best tonic. A man who cannot

laugh fails to attracts friends, loses his health,

grows pessimistic and deprives himself of any

pleasure in life.

—————————

(DSAN 21 (NR))

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE

EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part I – Sanskrit

Paper II – DRAMA, CHAMPU, PROSE, HISTORY OF

LITERATURE, ALANKARAS, TRANSLATION AND

GRAMMAR

Time : Three hours Maximum : 100 marks

1. Answer any TWO :

Û`mo: CÎma§ {bIV& (2 × 15 = 30)

(a) Explain the skill of characterisation of Bhasa

according to Urubhangam.

^mgñ` nmÌ{MÌU§ D$é^“o H$W§ AñVr{V {Zê$n`V&

(b) Explain the ideal friend ship of Srikrishna

and Sudama.

lrH¥$îUgwXm_«mo: _¡Ìr AmXe©_¡Ìr{V {Zê$n`V&

(c) Sketch the character of Jeemutavahana.

Or_yVdmhZñ` nmÌ{MÌU§ Hw$éV&

(d) Write the story of "Urubhanga Natakam"

briefly.

g§jonoU D$é^“ZmQ>H$H$Wm§ {bIV&

(DSAN 21 (NR)) 2

2. (a) Write the story of "Bhishajo Bhaishajyam".

"{^fOmo ^¡fÁ`_²' H$Wm`m: gma§ {bIV: (10)

Or

(b) Explain how Viswamitra attained the state

of Brahmarshi.

{dídm{_ÌoU ~«÷{f©Ëd§ H$W§ àmá{_{V {deX`V&

3. Explain any FOUR with reference to context :

(4 × 5 = 20) MËdm[a ggÝX^© ì`m»`mV&

(a) AÝ`moÝ`dr ©{ZH$fm: nwéfm: ^dpÝV&

(b) AÌ gd} _hmamOñ` {_Ìm{U Ed&

(c) H$mb{dn`m©gmƒÝÐmo dp¿ZËd_mJV:&

(d) dfm©{ZerWmX{deofdof_²&

(e) Am`mg: Ibw amO`_wpÁPVJwamo:&

(f) gÝÐrH¥$V§ Z~ÝY{_X§ XYm{V&

(g) {ZXm}fXe©Zm {h H$Ý`H$m ^dpÝV&

(h) Amd`moaím««wOmam{_foU¡fm òohYmam emo^Vo&

4. Write short notes on any TWO : (2 × 5 = 10)

Û`mo: bKwQ>rH$m§ {bIV&

(a) ~mU: (b) n#mVÝÌ_²

(c) e‘>amMm©`: (d) lrhf©:

(DSAN 21 (NR)) 3

5. Define and illustrate any TWO Alankaras :

(2 × 5 = 10)

Ûm¡ Ab‘>mam¡ gmoXmhaU§ {dd¥UwV&

(a) CËàojm (b) XrnH$_²

(c) ñd^mdmo{º$ (d) AZÝd`:

6. Write the forms of any THREE cases of the

following :

Ì`mUm§ VÎmV² {d^{º$fw énm{U {bIV: (3 × 2 = 6)

(a) _Zg² - V¥Vr`m (b) amOZ² - àW_m

(c) dmH²$ - V¥Vr`m (d) Añ_X² - gá_r

(e) wî_X² - àW_m (f) _éV² - fð>r

7. Write any FOUR forms of the following adding the

given termination : (4 × 1 = 4)

(a) Am-éh²-ë`n² (b) nm-Vw_wZ²

(c) Xm-H$Ëdm (d) {O-(nw§)-Vì`

(e) {bI² - Vw_wZ² (f) b^y (nw§)-H$V

8. Translate any FIVE sentences into English or

Telugu : (5 × 2 = 10)

n#m dmH$m{Z Am“b ^mfm`m§ AmÝY« ^mfm`m§ dm AZwdmX§ Hw$éV&

(a) AOrU} ^moOZ§ {df_²&

(b) g§Vmof: na_§ gwI_²&

(DSAN 21 (NR)) 4

(c) nwÌ:eÌwanpÊS>V:&

(d) Z _mVw: naX¡º$_²

(e) gånVm¡ {dnÎmm¡M _hVm_oH$ê$nVm&

(f) ZmpñV V¥îUm g_mo ì`m{Y:&

(g) _hmOZmo oZ JV: g nÝWm:&

(h) AW©_ZWª ^md` {ZË`_²&

(i) CÚmo{JZ§ nwéfqgh_wn¡{V bú_r:&

(j) Z{h gwI§ Xþ:I¡{d©Zm bä`Vo&

———————

(DTEL 21)

B.A./B.Com./B.Sc./B.B.M./B.H.M.

DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part I — Telugu

Paper II — POETRY, PROSE, DRAMA, PROSODY, POETICS AND ESSAY

Time : Three hours Maximum : 100 marks

1. {Mìü…¨ ÐésìýÌZ JMæü 糧éÅ°Mìü {糆 糧éÆæÿ® ™é™èþµÆ>ÅË$ Æ>Äæý$…yìþ. (1 × 8 = 8)

(a) ™èþ¯èþÄæý$$yæþ$ V>yæþ$ Ô>{™èþÐèþ#yæþ$ §é¯èþÐèþ ¿æýÆæÿ¢Mæü$ Òyæþ$, §ðþO™èþÅ ^èþ…

§æþ¯èþÐèþ¯èþ Ðèþ$…§æþ$ Væü…rMæüÄæý$$™èþ „ìü† gê™èþÐèþ$$ ¿æý…W¶º$sìýt ¯é

yæþ¯èþÐèþÆæÿ™èþ…º$ Æ>„>çÜMæü$ Ìê…™èþMæü$ {ºçÜ$¢† õÜÄæý$$^èþ$…yæþ$ §æþ…

§æþ¯èþÐèþ$$ èþ V>° Õ„æüËMæü$ yéÄæý$yæþ$ ç³r$t¶Mör$t §æþ$§æþ®†¯Œþ

(b) DçÜ$¯èþ º$sìýt yðþ…§æþÐèþ$$¯èþ òßý_a¯èþ ÔZMæü§æþÐé˯èþ…º$ ^óþ

V>íÜÍ Äôý$yðþa¶{»ê×ýÑ¿æý$ Mæüsñýt§æþ$r¯Œþ ËÍ™é…W ç³…Mæüf

{ÔóýçÜQÐðþ$O¯èþ Ððþ*Ðèþ$$ ç³Æÿ$$ gôýË ^ðþ‚ý…Wyìþ »êËç³ËÏÐèþ

V>Ë çÜMæüÚëÄæý$ Mæü…uæÿ MæüËMæü…uæÿÐèþ«§æþ* MæüËM>MæüÎ §æþÓ°¯Œþ.

2. {Mìü…¨ ÐésìýÌZ {糆 ¿êVæü… ¯èþ$…yìþ Æðÿ…yæþ$ çÜ…§æþÆæÿ¾ çÜíßý™èþ ÐéÅQÅË$ Æ>Äæý$…yìþ. (4 × 3 = 12)

A-&¿êVæü…

(a) ^èþ§æþ$Ðèþ#ËÌZ Ðèþ$ÆæÿÃÐðþ$ËÏ f¨ÑÍ ™èþ…{yîþ.

(b) Ðèþ*¯èþÆæÿíßý™èþÐðþ$O¯èþ {º§æþ$Mæü$ Ðèþ*°° MóüÌê?

(c) MæüÆæÿ$~¯ú§æþ˯ðþ ¿êÆæÿ™èþ çÜ…íßý™èþ °Ë$a ^éyæþ$µ¯èþ¯Œþ

(d) ± õÜÖËÅ Ñ$ÌêÏ…{yæþ MðüËϯèþ$ Ðóþ$˾…†.

B&¿êVæü…

(e) Ñç³ÏÐèþ Ôèý…Q… Ñ°í³Ýë¢ÆøÄŒý$

(f) H¿æýVæüÐèþ…™èþ$°Mìü °Ðóþ¨…^èþ$Mö¯èþVæü˧æþ$

(g) {糆çœÍ…^óþ Ðèþ$àM>ÐèþÅ… ¯éMæü$ M>ÐèþÌñý

(h) Ðèþ$¯èþ {º™èþ$Mæü$ÌZ ¯óþyæþç³NÆæÿÓÐðþ$O¯èþ ¨¯èþÐèþ$$Æ>

(DTEL 21) 2

3. {Mìü…¨ ÐésìýÌZ {糆 ¿êVæü… ¯èþ$…yìþ JMæü§é°Mìü çÜÐèþ*«§é¯èþ… Æ>Äæý$…yìþ. (2 × 10 = 20)

A&¿êVæü…

(a) {ç³àϧæþ$° ÑçÙ$~¿æýMìü¢° ÑÐèþÇ…^èþ…yìþ.

(b) ¯èþ…¨ †Ðèþ$ïèþ çÜ™èþÅ¿êÐèþ$ çßý–§æþÄæý$ BÐóþ§æþ¯èþ¯èþ$ ÐèþÇ~…_¯èþ Ñ«§é¯é°² ÑÐèþÇ…^èþ…yìþ.

B&¿êVæü…

(c) "{ç³ç³…^èþç³#»ê«§æþ A…™é } } »ê«§æþ' ÑÐèþÇ…^èþ…yìþ.

(d) "¯é§óþÔèý… & ¯é {ç³fË$ ÌZ {Ô>Ñ$Mæü ^ðþO™èþ¯éÅ°² ÑÐèþÇ…^èþ…yìþ.

4. {Mìü…¨ ÐésìýÌZ {糆 ¿êVæü… ¯èþ$…yìþ JMæü§é°Mìü çÜÐèþ*«§é¯èþ… Æ>Äæý$…yìþ. (2 × 10 = 20)

A&¿êVæü…

(a) Æ>Äæý$Ë M>Ë… ¯ésìý ÝëÐèþ*hMæü iÐèþ¯èþ Ñ«§é¯é°² ç³Ç^èþÄæý$… ^óþÄæý$…yìþ.

(b) ºçßý$M>Ë §æþÆæÿدèþ…ÌZ §óþÔèý ¿æýMæü$¢Ë íܦ†° Mæü–çÙ~Ô>í܈ ÑÐèþÇ…_¯èþ ¡Ææÿ$¯èþ$ ç³Ç^èþÄæý$… ^óþÄæý$…yìþ.

B&¿êVæü…

(c) AËÏÝë° ò³§æþª¯èþ "Ðèþ$¯èþ$^èþÇ{™èþ' ÐðþOÕÚëtÅ°² ÑÔèý©MæüÇ…^èþ…yìþ.

(d) ´ë¯èþ$Væü…sìý ÐéÇ f…çœ*Ë Ô>í܈ E糯éÅçÜ ç³Ææÿ…ç³Ææÿ¯èþ$ {ç³çÜ$¢†…^èþ…yìþ.

5. {Mìü…¨ ÐésìýÌZ Æðÿ…yìþ…sìýMìü çÜÐèþ*«§é¯èþ… Æ>Äæý$…yìþ. (2 × 10 = 20)

(a) ÐèþÆæÿ Ñ{MæüÄæý$ M>Ë… ¯ésìý ÝëÐèþ*hMæü íܦ†Væü™èþ$Ë$

(b) ¯é…© {ç³Ýë¢Ðèþ¯èþ˯èþ$ ÐèþÆæÿ Ñ{MæüÄæý*°Mìü A¯èþÓÆÿ$$…^èþ…yìþ.

(c) ÐèþÆæÿ Ñ{MæüÄæý$…ÌZ° ï܈ ´ë{™èþͲ ç³Ç^èþÄæý$… ^óþÄæý$…yìþ.

(d) ÐèþÆæÿ Ñ{MæüÄæý$ ¯érMæü ¯éÐèþ˜_™èþÅ…

6. {Mìü…¨ ÐésìýÌZ JMæü§é°° Væü*Ça ÐéÅçÜ… Æ>Äæý$…yìþ. (1 × 10 = 10)

(a) çÜÐèþ*¯èþ™èþÓ…

(b) ѧæþÅ

(c) °Ææÿ$§øÅVæü çÜÐèþ$çÜÅ.

7. (a) (i) {Mìü…¨ 糧æþÅ´ë§é°Mìü Væü×ýÑ¿æýf¯èþ ^óþíÜ, bèþ…§æþçÜ$Þ¯èþ$ Væü$Ç…_ Äæý$†° õ³ÆöP¯èþ…yìþ. (1 × 5 = 5)

"™èþ¯èþÄæý$$yæþ$ V>yæþ$ Ô>{™èþÐèþ#yæþ$ §é¯èþÐèþ ¿æýÆæÿ¢Mæü$ Òyæþ$ §ðþO™èþÅ^èþ….

Ìôý§é

(ii) {Mìü…¨ ÐésìýÌZ JMæü§é°Mìü Ýù§éçßýÆæÿ×ý…V> Ë„æü×ê°² ™ðþ˵…yìþ.

(1) E™èþµË Ðèþ*Ë

(2) Ô>Ææÿ*ªË…

(DTEL 21) 3

(b) (i) {Mìü…¨ 糧æþÅ…ÌZ AË…M>Æ>°² ™ðþ͵ Ë„æü×ý…™ø çÜÐèþ$¯èþÅÆÿ$$…^èþ…yìþ. (1 × 5 = 5)

"AËÏ˯èþ Äæý$™èþ° Ðèþ^èþ¯èþÐèþ$$

ÌñýËϯŒþ Ñ° Ððþ$$§æþË$ ¯èþ‚ý$Mæü °…^èþ$Mæü ÐèþyìþÌZ

{§ðþâñýåyìþ Mæü§æþãMæü ÐèþÌñý, à

™èþÌôýÏ! Äæý$° »ñýr$t Ý÷ÇW «§æþÆæÿò³O ºyìþÄñý$¯Œþ'

Ìôý§é

(ii) {Mìü…¨ AË…M>Æ>ÌZÏ JMæü§é°Mìü Ýù§é çßýÆæÿ×ý…V> Ë„æü×ý… ™ðþ˵…yìþ.

(1) E{™óþµ„>Ë…M>Ææÿ…

(2) çÜÓ¿êÐøMìü¢ AË…M>Ææÿ….

——————

(DICS 21)

B.A./B.Com./B.Sc. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Paper II — SCIENCE AND CIVILIZATION

Time : One and Half hours Maximum : 50 marks

SECTION A — (2 × 13 = 26 marks)

Answer any TWO of the following questions.

1. Describe the development of mathematics during the Vedic Period.

Ðóþ§æþ-M>-Ë-Ðèþ$$ÌZ Væü×ìý-™èþ-Ô>ç܈ AÀ-Ðèþ–-¨®° Væü*Ça Mæü$Ïç³¢-Ðèþ$$V> {ÐéÄæý$…yìþ.

2. Write about the ancient Egypt Civilization.

{´ë`¯èþ Dh-çœ#t ¯éVæü-Ç-Mæü-™èþ¯èþ$ ÑÐèþ-Ç…^èþ…yìþ.

3. Explain any three significant discoveries in Medical science in 20th century and their impact

on society.

20 Ðè þÔèý™éº®…ÌZ, BÆø-VæüÅÆæÿ…Væü…ÌZ fÇVóü HÐðþO¯é Ðèþ$*yæþ$ BÑ-Æ>Â-ÐèþÐèþ$$-˯èþ$ Ðèþ$ÇÄæý$$ çÜÐèþ*-f…ò³O Ðésìý {糿ê-Ðèþ-Ðèþ$$¯èþ$ ÑÐèþ-Ç…^èþ…yìþ.

4. Explain the major contribution of modern science to human welfare.

Ýë…íœ$-M>-À-Ðèþ–¨®Mìü Ô>ï܈Äæý$ Ñgêq¯èþÐèþ$$ Gr$Ï çÜçßý-Mæü-Ç…_-¯èþ§ø ™ðþË$-ç³#-Ðèþ$$.

5. How team work leads to more accuracy in Scientific Research?

Ô>ï܈Äæý$ ç³Ç-ÔZ-«§æþ¯èþË$ ÝëW…^èþ-yé-°Mìü MæüÍíÜ ç³°-^óþ-Äæý$yæþ… A¯óþ A…ÔèýÐèþ$$ GÌê Eç³-Mæü-Ç…^èþ$¯ø Ýù§éçßýÆæÿ-×ý…V> ÑÐèþ-Ç…^èþ$-Ðèþ$$.

6. Write an account on the transition of civilization from Palaeolithic to Modern Age.

´ë™èþ Æ>† Äæý$$Væü…, Mö™èþ¢ Æ>† Äæý$$Væü… Òsìý-ÌZ° Ô>ç܈ Ææÿ…Væü…ÌZ° AÀ-Ðèþ–-¨®-° Væü*Ça Ýù§éçßýÆæÿ-×ý…V> ÐèþÇ~-…^èþ…yìþ.

SECTION B — (3 × 4 = 12 marks)

Write short notes on any THREE of the following questions.

7. (a) Television.

sñýÍ-Ñ-f¯Œþ.

(b) X-rays.

X-MìüÆæÿ-×ý-Ðèþ$$-Ë$.

(c) Green Revolution.

çßýÇ™èþ Ñç³Ï-Ðèþ-Ðèþ$$.

(d) Cortisones.

M>Çt gZ¯Œþ.

(DICS 21) 2

(e) Radium therapy.

ÆóÿyìþÄæý$… _Mìü-™éÞ Ñ«§é-¯èþ-Ðèþ$$.

(f) Hybridization.

çÜ…Mæü-È-MæüÆæÿ-×ý-Ðèþ$$.

(g) Gun powder.

Væü¯Œþ ´ûyæþ-Ææÿ$.

(h) Social justice.

ÝëÐèþ*hMæü ¯éÅÄæý$….

(i) Non-conventional energy sources.

Ýë…{ç³-§éÄôý$™èþÆæÿ ÔèýMìü¢ Ðèþ¯èþ-Ææÿ$-Ë$.

SECTION C — (3 × 4 = 12 marks)

Answer ALL questions.

8. Fill in the blanks :

(a) First Nuclear fission of uranium by discovered by –––––––––––.

(b) Super conductivity discovered by –––––––––––.

(c) Electron microscope discovered by –––––––––––.

(d) X-rays are discovered by –––––––––––.

Rêä˯èþ$ ç³NÇ…ç³#Ðèþ$$.

(a) Ððþ$$§æþr Äæý$$Æóÿ-°Äæý$… Äñý$$MæüP Móü…{§æþ Ñ_e†¢ GÐèþÆæÿ$ Mæü¯èþ$-Vö¯é²-Ææÿ$ ——————.

(b) A†-Ðèþ-çßý-¯èþ™èþ GÐèþÆæÿ$ Mæü¯èþ$-Vö-¯é²Ææÿ$ ——————.

(c) ѧæþ$Å™Œþ çÜ*Mæü‡ §æþÇØ° Mæü¯èþ$-Vö-¯èþ²Ðé-Ææÿ$ ——————.

(d) X-MìüÆæÿ-×ê-˯èþ$ GÐèþÆæÿ$ Mæü¯èþ$-Vö-¯é²Ææÿ$ ——————.

9. Choose the correct answer.

çÜÇÄñý$O¯èþ 糧æþ-Ðèþ$$-¯èþ$ Væü$Ç¢…^èþ$Ðèþ$$.

(a) Bacteriology

(i) Study of living things (ii) Study of plants

(iii) Study of Bacteria (iv) Study of a living bodies.

»êÅMîüt-Ç-Äæý*-Ë-h

(i) iÐèþ A¯èþ$-çœ$-r-M>-˯èþ$ Væü$Ç…_ A«§æþÅ-Äæý$-¯èþÐèþ$$ (ii) Ððþ$$MæüP-˯èþ$ Væü$Ç…_ A«§æþÅ-Äæý$¯èþÐèþ$$

(iii) »êÅMîüt-ÇÄæý$ Væü$Ç…_ A«§æþÅ-Äæý$-¯èþ-Ðèþ$$ (iv) iÐèþ#-˯èþ$ Væü$Ç…_ A«§æþÅ-Äæý$¯èþ-Ðèþ$$.

(DICS 21) 3

(b) Aeroplane with jet engine was discovered by

(i) Orvile Wilber Wright (ii) Whittle britain

(iii) Charles (iv) Perkeins

ÑÐèþ*-¯é-˯èþ$ gñýsŒý engine™ø çÜ…§é¯èþ…V> GÐèþÆæÿ$ Mæü¯èþ$-Vö-¯é²-Ææÿ$

(i) KÇÓÎÏ Ñ˾Ɗÿt ÆðÿOsŒý (ii) ÑsìýÌŒý

(iii) ^éÆðÿÏ‹Ü (iv) ò³ÇP-¯ŒþÞ

(c) Quantum theory was proposed by

(i) Albert Einstein (ii) Max Planck

(iii) Lise Meither (iv) Willord F. Libby

M>Ó…rÐŒþ$ íܧ鮅™èþÐèþ$$ {糆-´ë-¨…_¯èþ ÐéÆæÿ$

(i) BÌŒýºÆŠÿ I¯ŒþïÜt¯Œþ (ii) Ðèþ*MŠüÞ ´ëÏ…MŠü

(iii) ÌñýO‹Ü Ððþ$OsŒý¯èþÆŠÿ (iv) ÑÌŒý¸ùÆŠÿz G‹œ. ͼ¾

(d) The heart of the computer is

(i) Keyboard (ii) Mouse

(iii) CPU (iv) Printer

Mæü…ç³N-rÆŠÿMìü C¨ Væü$…yðþ Ðèþ…sìý-¨

(i) Mîü»Z-Ææÿ$z (ii) Ðèþ ‹Ü

(iii) CPU (iv) Ðèþ$${§æþ×ý Äæý$…{™èþ…

10. Match the following :

(a) Ozone deplesion (i) Finlay

(b) Terramycin (ii) Health

(c) Vitamins (iii) CFC's

(d) Computer (iv) F. William and Tom Killbur

(v) SO2

{Mìü…¨ Ðésìý° f™èþç³Ææÿ^èþ$Ðèþ$$ :

(a) KgZ¯Œþ ´÷Ææÿ „îü×ý-™èþ (i) 휯ŒþÌôý

(b) sñý{Æ>Ððþ$OíܯŒþ (ii) BÆø-VæüÅ…

(c) Ñr-Ñ$-¯èþ$Ï (iii) CFC's

(d) Mæü…ç³NÅ-rÆŠÿ (iv) G‹œ. ÑÍ-Äæý$ÐŒþ$ Ðèþ$ÇÄæý$$ sZÐŒþ$ MìüË-ºÆŠÿ

(v) SO2

—————

(DBES 21)

B.A./B.Com./B.Sc. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Paper II — ENVIRONMENTAL STUDIES

Time : Three hours Maximum : 100 marks

PART A — (4 ´ 10 = 40 marks)

Answer any FOUR questions.

Each question carries 10 marks.

1. What are the components of environment?

2. Classify natural resources.

3. State the impact of human activities on mineral resources.

4. Explain the structure of biodiversity.

5. What are the threats to biodiversity?

6. State the effects of nuclear pollution.

7. Explain the problems of urbanisation.

8. Enumerate the recent trend in climate change.

(DBES 21) 2

PART B — (3 ´ 20 = 60 marks)

Answer any THREE questions.

Each question carries 20 marks.

9. Describe scope and importance of environmental studies.

10. What is the impact of human activities on forest resources?

11. Elucidate the contribution of international organisations in the conservation of biodiversity.

12. State the causes and consequences of water pollution.

13. Bring out the role of individuals in the control of pollution.

14. Explain the social issues in the growth of population.

——————

(DBMAT 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Mathematics

Paper II — SOLID GEOMETRY AND REAL ANALYSIS

Time : Three hours Maximum : 100 marks

SECTION A — (8 × 5 = 40 marks)

Answer ALL questions.

Each question carries 5 marks.

1. Find the equation of the plane through the intersection of the planes 1=++ zyx ,

5432 =++ zyx and Perpendicular to the plane 0=+− zyx .

1=++ zyx , 5432 =++ zyx ™èþÌêË ¿ôý§æþ¯èþ… Væü$…yé ´ùÄôý$ Ðèþ$ÇÄæý$$ 0=+− zyx ™èþÌê°Mìü Ë…º…V> E…yóþ

™èþË… çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

2. Find the equations to the line intersecting the lines zyx =+=− 3465 ,

zyx =+=− 5342 and is parallel to 114

zyx == .

zyx =+=− 3465 , zyx =+=− 5342 ÆóÿQ˯èþ$ bóþ¨çÜ*¢ 114

zyx == Mæü$ çÜÐèþ*…™èþÆæÿ…V> E…yóþ ÆóÿQ

çÜÒ$MæüÆæÿ×ê˯èþ$ Mæü¯èþ$MøP…yìþ.

3. Find the equation of the sphere which touches the plane 0223 =+−+ zyx at ( )1,2,1 − and

passes through origin.

0223 =+−+ zyx ™èþÌê°² ( )1,2,1 − Ðèþ§æþª ™éMæü$™èþ*, Ðèþ$*Ë ¼…§æþ$Ðèþ# Væü$…yé ´ùÄôý$ Vøâæý… çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

4. Find the equation of the cone which passes through the candinate axes and the lines

321

zyx =−

= and 113

zyx =−

= .

°Ææÿ*ç³M>„æüÐèþ$$Ë Væü$…yé¯èþ$ Ðèþ$ÇÄæý$$ 321

zyx =−

= ; 113

zyx =−

= ÆóÿQË Væü$…yé¯èþ$ ´ùÄôý$ Ôèý…Mæü$Ðèþ#¯èþMæü$ çÜÒ$MæüÆæÿ×ýÐèþ$$¯èþ$

Mæü¯èþ$MøP…yìþ.

(DBMAT 21) 2

5. Show that every convergent sequence in bounded. What can you say about its converge?

Justify your answer.

AÀçÜÑ…^óþ {糆 A¯èþ$ {MæüÐèþ$… ç³Çº§æþ®Ðèþ$° ^èþ*ç³…yìþ. D ççœÍ™èþ… Ñç³ÆæÿÅÄæý$… Væü$Ç…_ Ò$Ææÿ$ HÑ$ ^ðþç³µVæüËÆæÿ$? Ò$ çÜÐèþ*«§é¯é°²

çÜÐèþ$Ç®…^èþ$Mø…yìþ.

6. When do we say that a sequence { }ns is convergent? Examine the convergence of

nsn

1........

3

1

2

11 ++++= .

JMæü A¯èþ$ {MæüÐèþ$… { }ns G糚yæþ$ AÀçÜÆæÿ×ý… ^ðþ…§æþ$™èþ$…§æþsê…? n

sn1

........3

1

2

11 ++++= Äñý$$MæüP AÀçÜÆæÿ×ý™èþ¯èþ$

ç³È„ìü…^èþ…yìþ.

7. Test the convergence of ∑∞

=

1

1log

n n.

∑∞

=

1

1log

n n Äñý$$MæüP AÀçÜÆæÿ×ý™èþ¯èþ$ ç³È„ìü…^èþ…yìþ.

8. When do we say that a bounded function f is Riemann integrable on [ ]ba, ? Examine the

integrability of f defined by ( ) 1=xf , if Qx ∈ ,1−= if QRx −∈ , on [ ]ba, .

JMæü ç³Çº§æþ®Ððþ$O¯èþ {ç³Ðóþ$Äæý$… f G糚yæþ$ [ ]ba, ò³O ÈÐèþ*¯Œþ çÜÒ$Mæü˱Äæý$… A…sê…? ( ) 1=xf , Qx ∈ ; ,1−=

QRx −∈ , AÆÿ$$™óþ [ ]ba, ò³O f Äñý$$MæüP çÜÒ$Mæü˱Äæý$™èþ¯èþ$ ç³È„ìü…^èþ…yìþ.

SECTION B — (4 × 15 = 60 marks)

Answer ALL questions.

9. (a) (i) Show that the equation yzxyzyx 8444 222 ++++ −+ zx4

yx 189 − z18− 018 =+ represents a pain of parallal planes. Hence find the

distance between them.

yzxyzyx 8444 222 ++++ −+ zx4 yx 189 − z18− 018 =+ JMæü f™èþ çÜÐèþ*…™èþÆæÿ

™èþËÐèþ$$˯èþ$ çÜ*_çÜ$¢…§æþ° ^èþ*ç³…yìþ. ™èþ§æþÓÆ> Ðésìý Ðèþ$«§æþÅ VæüË §æþ*Æ>°² Mæü¯èþ$MøP…yìþ.

(ii) Find the Perpendicular distance of the point ( )5,1,2− from the line

6

5

3

3

2

2

−−=−=

−− zyx

.

6

5

3

3

2

2

−−=−=

−− zyx ÆóÿQ ¯èþ$…yìþ ( )5,1,2− ¼…§æþ$Ðèþ#¯èþMæü$ VæüË Ë…º §æþ*ÆæÿÐèþ$$ èþ$ Mæü¯èþ$MøP…yìþ.

(DBMAT 21) 3

(iii) Define a great circle and a small circle. Find the equation of the sphere having the

circle 8410222 =−+++ zyzyx , 32 =+− zyx as a great circle.

VúÆæÿ Ðèþ–™èþ¢Ðèþ$$, Ëçœ$$ Ðèþ–™èþ¢Ðèþ$$˯èþ$ °ÆæÿÓ_…^èþ…yìþ. 8410222 =−+++ zyzyx , 32 =+− zyx

A¯óþ Ðèþ–™é¢°² Væü$Ææÿ$ Ðèþ–™èþ¢…V> MæüÍW¯èþ Vøâæý… çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

Or

(b) (i) Show that the circles 02222 =+−++ zyzyx , 02 =−+− zyx and

03222 =+−+++ zyxzyx , 0142 =−+− zyx line on the some sphere and

find its equation.

02222 =+−++ zyzyx , 02 =−+− zyx Ðèþ$ÇÄæý$$ 03222 =+−+++ zyxzyx ,

0142 =−+− zyx A¯óþ Ðèþ–™é¢Ë$ JMóü Vøâæý… ò³O E…sêÄæý$° ^èþ*í³, BVøâæý… çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

(ii) Find the length and equations to the line of shortest distance between the lines

1

7

2

5

1

3 −=−−=− zyx

and 1

1

6

1

7

1 +=−+=+ zyx

.

1

7

2

5

1

3 −=−−=− zyx

Ðèþ$ÇÄæý$$ 1

1

6

1

7

1 +=−+=+ zyx

A¯èþ$ ÆóÿQË Ðèþ$«§æþÅ A˵ ™èþÐèþ$ §æþ*Ææÿ ÆóÿQË

çÜÒ$MæüÆæÿ×ê˯èþ$, A˵™èþÐèþ$$ ÆóÿQ ´÷yæþÐèþ#¯èþ$ Mæü¯èþ$MøP…yìþ.

(iii) Find the equation of the tangent planes to the sphere 9222 =++ zyx which

passes through the line 6=+ yx ; 32 =− zx .

6=+ yx ; 32 =− zx ÆóÿQ Væü$…yé ´ùÄôý$ 9222 =++ zyx A¯óþ VøâæýÐèþ$$¯èþMæü$ çܵÈØÄæý$ ™èþË…

çÜÒ$MæüÆæÿ×ê˯èþ$ Mæü¯èþ$MøP…yìþ.

10. (a) (i) Find the equation of the right circular cylinder whose axis is

2

3

1

2

2

1 −=−=− zyx and radius =2.

2

3

1

2

2

1 −=−=− zyx ¯èþ$ A„æüÐèþ$$V>¯èþ$, ÐéÅÝëÆæÿ®Ðèþ$$ Æðÿ…yæþ$V>¯èþ$ MæüÍW¯èþ ÐèþÆæÿ$¢Ë çÜ*¦ç³MæüÐèþ$$ Äñý$$MæüP

çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

(DBMAT 21) 4

(ii) Find the enveloping come of the sphere 042222 =−+++ yxzyx with its vertex

at ( )1,1,1 .

( )1,1,1 ÖÆæÿÛÐèþ$$V>, 042222 =−+++ yxzyx A¯óþ Vøâê°Mìü çܵÆæÿØ Ôèý…Mæü$Ðèþ#¯èþ$ Mæü¯èþ$MøP…yìþ.

(iii) Find the condition that the plane 0=++ nzmylx may touch the come

032 222 =+− zyx and find the equation of the reciprocal cone.

0=++ nzmylx A¯óþ ™èþË… 032 222 =+− zyx A¯óþ Ôèý…Mæü$Ðèþ#¯èþ$ ™éMæüyé°Mìü ™èþ–í³¢ ^óþõÜ çÙÆæÿ™èþ$¯èþ$

Mæü¯èþ$MöP°, Ðèþ#Å{™èþPÐèþ$ Ôèý…Mæü$Ðèþ# çÜÒ$MæüÆæÿ×ê°² Mæü¯èþ$MøP…yìþ.

Or

(b) (i) Find the equation of the enveloping cylinder of the sphere

0142222 =−+−++ yxzyx having its generators Parallel to the line

zyx == .

f¯èþMæü ÆóÿQË$ zyx == A¯óþ ÆóÿQMæü$ çÜÐèþ*…™èþÆæÿ…V> E…r* 0142222 =−+−++ yxzyx A¯óþ

Vøâê°Mìü çܵÆæÿØ çÜ*¦ç³MæüÐèþ$$¯èþMæü$ çÜÒ$MæüÆæÿ×ý…¯èþ$ Mæü¯èþ$MøP…yìþ.

(ii) Show that the equation 01726221010222 222 =−+++−−++ zyxzxyzzyx

represents a cone and find its vertex.

01726221010222 222 =−+++−−++ zyxzxyzzyx A¯èþ$ çÜÒ$MæüÆæÿ×ýÐèþ$$ JMæü Ôèý…Mæü$Ðèþ#¯èþ$

çÜ*_çÜ$¢…§æþ° ^èþ*í³, §é° ÖÆæÿÛÐèþ$$¯èþ$ Mæü¯èþ$MøP…yìþ.

(iii) Show that the plane 0176123 =−−+ zyx touches the conicoid

017963 222 =++− zyx . Find the point of contact.

0176123 =−−+ zyx A¯óþ ™èþË… 017963 222 =++− zyx A¯èþ$ Ô>…Mæü ÐèþfÐèþ$$¯èþ$ ™éMæü$™èþ$…§æþ°

^èþ*ç³…yìþ. çܵÆæÿØ ¼…§æþ$Ðèþ#¯èþ$ Mæü¯èþ$MøP…yìþ.

11. (a) (i) State and prove Bolzano-Weinstrass theorem.

»ŸÌêj ¯ø&ÒÆŠÿ {Ýët‹Ü íܧ鮅™èþÐèþ$$¯èþ$ {ç³Ðèþ_…_, §é°° °Ææÿ*í³…^èþ…yìþ.

(ii) Examine the continuity of the function f defined by ( ) 1−+= xxxf at 0=x .

( ) 1−+= xxxf V> °ÆæÿÓ_™èþÐðþ$O¯èþ {ç³Ðóþ$Äæý$… f Äñý$$MæüP AÑ_e¯èþ² ™èþ¯èþ$ 0=x Ðèþ§æþª ç³È„ìü…^èþ…yìþ.

(DBMAT 21) 5

(iii) If [ ] Rbaf →,: is uniformly continuous then show that f is continuous is [ ]ba, .

Is the converse of this result true? Justify your answer.

[ ] Rbaf →,: HMæü Ææÿ*ç³ AÑ_e¯èþ²Ððþ$O™óþ, [ ]ba, ÌZ f AÑ_a¯èþ²Ðèþ$° ^èþ*ç³…yìþ. D çœÍ™èþ… Ñç³ÆæÿÅÄæý$…

çÜ™èþÅÐóþ$¯é? Ò$ fÐéº$¯èþ$ çÜÐèþ$Ç®…^èþ$Mø…yìþ.

Or

(b) (i) Prove that the function f defined on +R as : ( )

=x

Sinxf1

for every 0>x is

continuous on +R . If f uniformly continuous on +R ? Justify your answer.

+R ò³O {糆 0>x Mæü$ ( )

=x

Sinxf1

V> °ÆæÿÓ_™èþÐðþ$O¯èþ {ç³Ðóþ$Äæý$… f , +R ò³O AÑ_e¯èþ²Ðèþ$°

°Ææÿ*í³…^èþ…yìþ. +R . ò³O AÑ_e¯èþ²Ðèþ$° °Ææÿ*í³…^èþ…yìþ. +R ò³O HMæüÆæÿ*ç³ AÑ_e¯èþ²Ðèþ$Ðèþ#™èþ$…§é? Ò$ çÜÐèþ*«§é¯é°²

çÜÐèþ$Ç®…^èþ$Mø…yìþ?

(ii) Prove that ex

x

x=

+∞→

11lim .

ex

x

x=

+∞→

11lim A° °Ææÿ*í³…^èþ…yìþ.

(iii) Test the convergence of

+ 1n

n using the Cauchy’s general principle of

convergence.

MúïÙ Ý뫧éÆæÿ×ý AÀçÜÆæÿ×ý™èþ çÜ*{™èþÐèþ$$¯èþ$ç³Äñý*W…_

+ 1n

n Äñý$$MæüP AÀçÜÆæÿ×ý™èþ¯èþ$ ç³È„ìü…^èþ…yìþ.

12. (a) (i) State and prove Cauchy’s mean value theorem.

MúïÙ Ðèþ$«§æþÅÐèþ$ ÑË$Ðèþ íܧ鮅™èþÐèþ$$¯èþ$ {ç³Ðèþ_…_, §é°° °Ææÿ*í³…^èþ…yìþ.

(ii) Write the Taylor theorem with Cauchy’s form of remainder for

( ) 3,4

,cos === naxxfπ

.

( ) 3,4

,cos === naxxfπ

Mæü$ MúïÙ Ææÿ*ç³…ÌZ ¯èþ$…yóþ ÔóýçÙ… ÌZ sôýËÆŠÿ íܧ鮅™é°² Æ>Äæý$…yìþ.

(iii) State and prove the fundamental theorem of integral calculus.

çÜÐèþ*Mæü˯èþ Mæü˯èþ Væü×ìý™èþ… Ðèþ$*Ë íܧ鮅™é°² {ç³Ðèþ_…_, §é°° °Ææÿ*í³…^èþ…yìþ.

Or

(b) (i) If f is monotonic on [ ]ba, , show that f is Riemann integrable on [ ]ba, .

[ ]ba, , ò³O f HMæü¨çÙx… AÆÿ$$™óþ, If [ ]ba, Ò$§æþ f çÜÒ$Mæü˱Äæý$… A° ^èþ*ç³…yìþ.

(DBMAT 21) 6

(ii) Using Lagrange’s theorem show that ( ) ( ) =+

>+> xfifx

xxx

11log ( )x+1log

0>∀x .

Æðÿ{V>…gŒý íܧ鮅™èþÐèþ$$¯èþ$ç³Äñý*W…_, 0>∀x , ( )x+1log AÆÿ$$™óþ, ( )x

xxx

+>+>1

1log A°

^èþ*ç³…yìþ.

(iii) Derive the Maclawrin’s expansion for xe .

xe Mæü$ Ððþ$MŠü ÌêǯŒþ ÑçÜ¢Ææÿ×ý ({Ôóý×ìý) ° Æ>ºrt…yìþ.

—————

(DPOL 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Political Science

Paper II — INDIAN GOVERNMENT OF POLITICS

Time : Three hours Maximum : 100 marks

SECTION A — (2 × 15 = 30 marks)

Answer any TWO of the following.

1. Discuss the procedure for amending the Indian constitution.

¿êÆæÿ™èþ Æ>gêÅ…V>°² çÜÐèþÇ…^èþ$rMæü$ A¯èþ$çÜÇ…^èþ$ 糧æþ®†° ^èþÇa…^èþ$Ðèþ$$.

2. Examine the centre - state relations.

Móü…{§æþ, Æ>çÙ‰ çÜ…º…«§é˯èþ$ ç³ÇÖÍ…ç³#Ðèþ$$.

3. Explain the importance of Judicial review.

¯éÅÄæý$ çÜÒ$„> Äñý$$MæüP {´ë«§é¯èþÅ™èþ¯èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

4. Write an essay on Council of ministers.

Ðèþ$…{† Ðèþ$…yæþÍ ò³O JMæü ÐéÅçÜ… {ÐéÄæý$$Ðèþ$$.

5. Evaluate the working party system in India.

¿êÆæÿ™èþ§óþÔèý…ÌZ° ´ëÇt ÐèþÅÐèþçܦ ç³° ¡Ææÿ$¯èþ$ Ðèþ$¨…ç³# ^óþÄæý$$Ðèþ$$.

SECTION B — (3 × 10 = 30 marks)

Answer any THREE of the following.

6. Describe the solvent features Indian constitution.

¿êÆæÿ™èþ Æ>gêÅ…Væü… Äñý$$MæüP Ðèþ$$QÅ Ë„æü×ê˯èþ$ ÐèþÇ~…ç³#Ðèþ$$.

7. Examine the composition and powers Lok Sabha.

ÌZMŠü çÜ¿æý °Æ>Ã×ý… Ðèþ$ÇÄæý$$ A«¨M>Æ>˯èþ$ ç³ÇÖÍ…ç³#Ðèþ$$.

8. What are the fundamental rights enshrined in Indian Constitution?

¿êÆæÿ™èþ Æ>gêÅ…Væü…ÌZ ´÷…§æþ$ ç³Ææÿ_¯èþ {´ë£æþÑ$Mæü çßýMæü$PË$ HÑ$?

9. Discuss the emergency powers of president of India.

¿êÆæÿ™èþ Æ>çى糆 Äñý$$MæüP A™èþÅÐèþçÜÆæÿ A«¨M>Æ>˯èþ$ ^èþÇa…^èþ$Ðèþ$$.

(DPOL 21) 2

10. Elucidate the voting behaviour of ordinary citizen of India.

¿êÆæÿ™èþ§óþÔèý Ý뫧éÆæÿ×ý ´ûÆæÿ$° Ksìý…Væü$ {ç³ÐèþÆæÿ¢¯èþ¯èþ$ ™ðþË$ç³#Ðèþ$$.

11. What are the problems of national integration?

gê¡Äæý$ çÜÐðþ$OMæüÅ™èþ çÜÐèþ$çÜÅË$ HÑ$?

12. Examine the mean features of 1935 Act.

1935 ^èþrt… Äñý$$MæüP {糫§é¯é…Ô>˯èþ$ ç³ÇÖÍ…ç³#Ðèþ$$.

SECTION C — (3 × 5 = 15 marks)

Answer any THREE of the following.

13. (a) Powers of Supreme Court.

çÜ${ï³… MøÆæÿ$t A«¨M>Æ>Ë$.

(b) Features of Indian Federation.

¿êÆæÿ™èþ çÜÐèþ*QÅ Ë„æü×êË$.

(c) Regional Parties.

{´ë…¡Äæý$ ´ëÈtË$.

(d) Directive Principles.

B§óþÕMæü çÜ*{™éË$.

(e) Indian Nationalist movement.

¿êÆæÿ™èþ gê¡Äæý$ E§æþÅÐèþ$….

(f) Caste Politics.

Mæü$Ë Æ>fMîüÄæý*Ë$.

(g) 42nd Amendment Act.

42Ðèþ Æ>gêÅ…Væü çÜçÐèþÆæÿ×ý ^èþrt….

SECTION D — (25 marks)

14. (a) Answer the following in 1 or 2 sentences. (10 × 2 = 20)

(i) Colonial Rule.

ÐèþËçÜ ´ë˯èþ

(ii) Constituent Assembly.

Æ>gêÅ…Væü ç³ÇçÙ™èþ$¢.

(iii) National Integration.

gê¡Äæý$ çÜÐèþ${Væü™èþ.

(iv) Prime Minister office.

{糫§é¯èþ Ðèþ$…{† M>Æ>ÅËÄæý$….

(DPOL 21) 3

(v) Bahujan Samaj Party.

ºçßý$f¯èþ çÜÐèþ*f ´ëÇt.

(vi) Simon Commission.

òÜOÐèþ$¯Œþ MæüÒ$çÙ¯èþ$.

(vii) Trade Unions.

M>ÇÃMæü çÜ…çœ*Ë$.

(viii) Cabinet.

Móü¼¯ðþsŒý.

(ix) Governor.

VæüÐèþÆæÿ²Ææÿ$.

(x) Peasant movement.

MæüÆæÿÛMæü E§æþÅÐèþ$….

(b) Answer the following in 1 or 2 words. (5 × 1 = 5)

(i) Who is the Chariman of Rajya Sabha?

Æ>fÅ çÜ¿æý A§æþÅ„æü$yðþÐèþÆæÿ$?

(ii) Which article prohibits untouchability?

A…rÆ>°™èþ¯é°² °õÙ«¨…_¯èþ {ç³MæüÆæÿ×ý H¨?

(iii) In which Act dyarchy was introduced?

H ^èþrt… {ç³M>Ææÿ… §æþÓ…§æþÓ {糿æý$™éÓ°² {ç³ÐóþÔèýò³sêtÆæÿ$?

(iv) Who is the president of Bharatiya Janata Party?

¿êÆæÿ¡Äæý$ f¯èþ™é´ëÈt A§æþÅ„æü$yðþÐèþÆæÿ$?

(v) Who appoints the chief Justice of India?

¿êÆæÿ™èþ {糫§é¯èþ ¯éÅÄæý$Ðèþ$*Ç¢° GÐèþÆæÿ$ °Äæý$Ñ$Ýë¢Ææÿ$?

—————

(DBCA 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Computer Applications

Paper II — COMPUTER BASED DOCUMENTATION

Time : Three hours Maximum : 100 marks

PART A — (3 × 20 = 60 marks)

Answer any THREE questions.

1. Explain MS-Word views.

MS-ÐèþÆŠÿz ÐèþNÅË èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

2. Explain footers and footnotes in MS-Word.

MS-ÐèþÆŠÿzÌZ° ç³NrÆŠÿÞ Ðèþ$ÇÄæý$$ ç³NsŒý ¯øsŒýÞ èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

3. Explain various elements of auto context wizard.

BsZMæü…sñý…sŒý ÑgêÆŠÿz Äñý$$MæüP ÑÑ«§æþ A…Ô>Ë èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

4. Explain the Tabs and Sorting in MS-Word.

MS-ÐèþÆŠÿ ÌZ° s껌ýÞ Ðèþ$ÇÄæý$$ ÝëÇt…VŠü èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

5. Explain How do you add clip Art to a .ppt slide.

.ppt òÜ•ÏyŠþ èþMæü$ MìüÏ‹³ BÆŠÿz èþ$ GÌê f™èþ ^óþÝë¢Æø ÑÐèþÇ…ç³#Ðèþ$$.

(DBCA 21) 2

6. Explain ‘slide sorter view’ of the Power Point

slides.

ç³ÐèþÆŠÿ ´ëÆÿ$$…sŒý òÜ•ÏyŠþÞ Äñý$$MæüP òÜ•ÏyŠþ ÝëÆæÿtÆŠÿ ÐèþNÅ èþ$

ÑÐèþÇ…ç³#Ðèþ$$.

PART B — (5 × 6 = 30 marks)

Answer any FIVE questions.

7. Explain the Headers in MS-Word.

MS-ÐèþÆŠÿz ÌZ° òßýyæþzÆŠÿÞ èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

8. Explain the process of creating and running a

macro in MS-Word.

MS-ÐèþÆŠÿz èþ…§æþ$ Ðèþ*Å{Mø èþ$ çÜ–íÙt…^èþ$r Ðèþ$ÇÄæý$$ AÐèþ$Ë$

^óþÄæý$$r {ç³{MìüÄæý$ èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

9. Explain the transition effects to slides for its show

time in MS-Power point.

MS- ç³ÐèþÆŠÿ ´ëÆÿ$$…sŒý èþ…§æþ$ Úù sñýO… MöÆæÿMæü$ òÜ•ÏyæþÏMæü$ {sê°ÞçÙ Œþ

GòœMŠüt èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

10. Explain the multimedia and Power point.

ç³ÐèþÆŠÿ ´ëÆÿ$$…sŒý èþ…§æþ$ Ðèþ$ÎtÒ$yìþÄæý* èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

(DBCA 21) 3

11. Explain keyboard shortcuts.

Mîü»ZÆŠÿz ÚësŒý MæüsŒýÞ èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

12. Explain menu in MS-Word.

MS-ÐèþÆŠÿz ÌZ° Ððþ$ èþ$ èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

13. Explain the working of Text in power point.

ç³ÐèþÆŠÿ ´ëÆÿ$$…sŒý èþ…¨ sñýMŠüÞ ™ø ç³°^óþÄæý$$r Ñ«§é èþÐèþ$$

ÑÐèþÇ…ç³#Ðèþ$$.

PART C — (5 × 2 = 10 marks)

Answer any FIVE questions.

14. Mail Merge.

Ððþ$Æÿ$$ÌŒý Ððþ$ÆŠÿj.

15. REDO.

REDO

16. Document.

yéMæü$ÅÐðþ$…sŒý.

17. Tab Stops.

s껌ý Ýët‹³.

(DBCA 21) 4

18. Drop cap.

{y鋳 M>Å‹³.

19. Flipping.

íœÏí³µ…VŠü.

20. Office Assistant.

Bïœ‹Ü AíÜòÜt…sŒý.

——————

(DECO 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Economics

Paper II — DEVELOPMENT ECONOMICS AND

ISSUES IN INDIAN ECONOMY

Time : Three hours Maximum : 100 marks

PART A — (2 × 20 = 40 marks)

Answer any TWO questions.

1. Explain the factors influencing economic

development in developing countries like India.

¿êÆæÿ-™èþ-§óþ-Ôèý…Ìê…sìý AÀ-Ðèþ–¨® ^ðþ…§æþ$-™èþ$ èþ² BǦMæü ÐèþÅÐèþçܦ Äñý$$MæüP

BǦ-M>-À-Ðèþ–-¨®° {糿ê-Ñ™èþ…^óþõÜ A…Ô>Ë èþ$ ÑÐèþ-Ç…^èþ$-Ðèþ$$.

2. Discuss the theories of balanced growth and

unbalanced growth.

çÜ…™èþ$-Í™èþ Ðèþ–¨® Ðèþ$ÇÄæý$$ AçÜ…™èþ$-Í™èþ Ðèþ–¨® íܧ鮅™éË$

^èþÇa…^èþ$-Ðèþ$$.

(DECO 21) 2

3. What is poverty? Explain the causes for poverty in

India.

õ³§æþÇ-MæüË$ A èþV> óþÑ$? ¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ õ³§æþ-Ç-Mæü-Ðèþ$$- èþMæü$ VæüË

M>Ææÿ-×ê-Ë èþ$ ÑÐèþ-Ç…^èþ$-Ðèþ$$.

4. Critically review the implementation of land

reforms in India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ ¿æý*çÜ…çÜP-Ææÿ-×ýË AÐèþ$Ë$ ÑÐèþ$-ÆæÿØ-¯é-™èþÃ-Mæü…V>

çÜÒ$-„ìü…^èþ$-Ðèþ$$.

PART B — (3 × 15 = 45 marks)

Answer any THREE of the following.

5. Discuss the working of different agencies

providing agricultural finance in India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ ÐèþÅÐèþ-ÝëÄæý$ Ñ™é¢-°² A…¨…^óþ ÑÑ«§æþ çÜ…çܦË

ç³°¡Ææÿ$ ^èþÇa…^èþ$-Ðèþ$$.

6. Analyse the pattern of industrialisation in India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ ´ëÇ-{Ô>-Ñ$MîüMæü-Ææÿ×ý ™èþÆæÿ-à èþ$ ÑÔóýÏíÙ…^èþ$-Ðèþ$$.

(DECO 21) 3

7. Review the government policy towards small scale

industries in India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ _ èþ²™èþ-Ææÿà ç³Ç-{Ôèý-Ðèþ$-ËMæü$ çÜ…º…«¨…_ {糿æý$™èþÓ

Ñ«§é-¯é°² çÜÒ$-„ìü…^èþ$-Ðèþ$$.

8. Discuss the objectives and achievements of Indian

five year plans.

¿êÆæÿ-™èþ-§óþÔèý ç³…^èþ-ÐèþÆæÿÛ {ç³×ê-ã-MæüË Äñý$$MæüP Ë„>Å-Ë- èþ$, A¨-

Ýë-«¨…_ èþ {ç³Væü-†° ^èþÇa…^èþ$-Ðèþ$$.

9. Examine the need for investment criteria in

developing countries.

AÀ-Ðèþ–¨® ^ðþ…§æþ$-™èþ$ èþ² §óþÔ>-ËÌZ ò³r$t-ºyìþ °Ææÿ~Äæý$ {ç³Ðèþ*-×êË$

Äñý$$MæüP BÐèþ-ÔèýÅ-Mæü-™èþ èþ$ ç³Ç-Ö-Í…^èþ$-Ðèþ$$.

10. Examine the progress of Trade Policy reforms in

India since 1991.

1991 Ðèþ çÜ…Ðèþ-™èþÞÆæÿ… èþ$…yìþ ¿êÆæÿ-™èþ-§óþ-Ôèý-Ðèþ$$ÌZ ÐéÅ´ëÆæÿ

Ñ«§é èþ çÜ…çÜP-Ææÿ-×ýË {ç³Væü-†° ç³Ç-Ö-Í…^èþ$-Ðèþ$$.

(DECO 21) 4

PART C — (3 × 5 = 15 marks)

Answer any THREE of the following.

11. Human Development Index.

Ðèþ* èþ-Ðé-À-Ðèþ–¨® çÜ*`.

12. Fiscal policy.

MøÔèý Ñ«§é- èþ-Ðèþ$$.

13. Public Distribution system.

{ç³gê ç³…í³×îý Ñ«§é- èþ-Ðèþ$$.

14. Household industries.

Væü–çßý ç³Ç-{Ôèý-Ðèþ$-Ë$.

15. Sources of industrial finance.

´ëÇ-{Ô>-Ñ$Mæü Ñ™èþ¢-Ðèþ$$- èþMæü$ Ðèþ$*Ìê-«§é-Æ>-Ë$.

16. Advantages of labour intensive techniques.

{ÔèýÐèþ$ Ýë…{§æþ-Ððþ$O èþ E™èþµ†¢ 糧æþ®-™èþ$-Ë-ÌZ° çÜ$Væü$-×ê-Ë$.

–––––––––––

(DPAD 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Public Administration

Paper II — INDIAN ADMINISTRATIONS

Time : Three hours Maximum : 100 marks

SECTION A — (2 × 15 = 30 marks)

Answer any TWO of the following.

1. Discuss the historical context of Indian Administration.

¿êÆæÿ-™èþ-´ë-˯èþ Äñý$$MæüP ^éÇ-{™é-™èþÃMæü ¯óþç³-£éÅ°² ^èþÇa…^èþ…yìþ.

2. Discuss the composition and functions of Prime Minister's Office (P.M.O).

{糫§é-¯èþ-Ðèþ$…{† çÜ_-Ðé-ËÄæý$… °Æ>Ã-×ê°², §é° Ñ«§æþ$Ͳ ^èþÇa…^èþ…yìþ.

3. Discuss the Financial relations between the centre and states in India.

C…yìþ-Äæý*ÌZ Móü…{§æþ & Æ>çÙ‰-´ë-˯é çÜ…º…«§éͲ ^èþÇa…^èþ…yìþ.

4. Describe the salient features of the Moghal Administration.

Ððþ$$Væü-Ë$Ë ç³Ç-´ë-˯èþ Äñý$$MæüP Ðèþ$$QÅ-Ë-„æü-×ê-˯èþ$ ÑÐèþ-Ç…^èþ$-Ðèþ$$.

5. Describe the structure and functions of Ministry of External Affairs.

¿êÆæÿ™èþѧóþ-Ö ÐèþÅÐèþ-à-Æ>Ë Ô>Q °Æ>Ã-×ê°², Ñ«§æþ$Ͳ ÑÐèþ-Ç…^èþ…yìþ.

SECTION B — (3 × 10 = 30 marks)

Answer any THREE of the following.

6. Examine the powers and functions of Election Commission.

G°²-MæüË çÜ…çœ$Ðèþ$$ Äñý$$MæüP A«¨-M>-Æ>Ͳ, Ñ«§æþ$Ͳ ç³Ç-Ö-Í…^èþ…yìþ.

7. What are the features and advantages of public corporation?

{糿æý$™èþÓ M>Æöµ-ÆóÿçÙ¯Œþ Ë„æü-×êË$, Ìê¿êË$ Væü$Ç…_ ™ðþË$-ç³…yìþ.

(DPAD 21) 2

8. Explain the functions of state secretariat.

Æ>çÙ‰-çÜ-_-Ðé-ËÄæý$… Ñ«§æþ$Ë$ Væü$Ç…_ ™ðþË$-ç³#-Ðèþ$$.

9. Explain the functions and role of the Director of Backward Classes Welfare in Andhra

Pradesh.

B…{«§æþ-{ç³-§óþÔèý Ððþ¯èþ$Mæü-º-yìþ¯èþ ™èþÆæÿ-Væü-™èþ$-Ë çÜ…„óüÐèþ$ Ô>Q çÜ…^éËMæü$° Ñ«§æþ$-˯èþ$ Ðèþ$ÇÄæý$$ ´ë{™èþ¯èþ$ ÑÐèþ-Ç…^èþ$-Ðèþ$$.

10. Discuss the role and functions of Governor.

VæüÐèþ-Ææÿ²Ææÿ$ Äñý$$MæüP ´ë{™èþ Ðèþ$ÇÄæý$$ BÄæý$¯èþ Ñ«§æþ$-˯èþ$ Væü*Ça ^èþÇa…^èþ$-Ðèþ$$.

11. Discuss the role of Lokayukta to check the corruption in India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ÌZ AÑ-±† °Ææÿ*Ã-Ë-¯èþMæü$ ÌZM>Äæý$$Mæü¢ Äñý$$MæüP ´ë{™èþ¯èþ$ Væü*Ça ^èþÇa…^èþ$-Ðèþ$$.

12. Write a note on the role of Finance Commission.

BǦMæü çÜ…çœ$Ðèþ$$ Äñý$$MæüP ´ë{™èþ¯èþ$ Væü*Ça ÑÐèþ-Ç…ç³#Ðèþ$$.

SECTION C — (3 × 5 = 15 marks)

Answer any THREE of the following.

13. (a) Planning Commission.

{ç³×ê-ã-M> çÜ…çœ$-Ðèþ$$.

(b) Central Secretariat.

Móü…{§æþ çÜ_-Ðé-ËÄæý$Ðèþ$$.

(c) District collector.

hÌêÏ MæüÌñý-MæütÆŠÿ.

(d) Democratic decentralisation.

A«¨-M>Ææÿ ÑMóü…{©-Mæü-Ææÿ-×ý.

(e) Article 356.

BÇt-MæüÌŒý 356.

(f) Centre-state legislative relations.

Móü…{§æþ&Æ>çÙ‰-Ô>-çܯèþ çÜ…º…«§é-Ë$.

(DPAD 21) 3

SECTION D — (25 marks)

14. (a) Answer the following in 1 or 2 sentences : (10 × 2 = 20)

(i) President election.

Æ>çÙ‰-糆 G°²-Mæü.

(ii) Appointment of Prime Minister.

{糫§é¯èþÐèþ$…{† °Äæý*-Ðèþ$-Mæü….

(iii) Ombudsman.

A…º$yŠþÞÐèþ$¯Œþ.

(iv) Administrative Law.

ç³Ç-´ë-Ë¯é ¯éÅÄæý$-Ðèþ$$.

(v) Generalists.

ÝëÆæÿÓ-{†Mæü ÑçÙ-Äæý$fqË$.

(vi) Judicial control.

¯éÅÄæý$-Ô>Q °Äæý$…{™èþ-Ë$.

(vii) Administrative Tribunals.

´ë˯é {sìýº$Å-¯èþ-Ôèý$Ï.

(viii) Delegated legislation.

§æþ™èþ¢-Ô>-çÜ-¯èþ-Ðèþ$$.

(ix) Public enterprises.

{糿æý$-™èþÓ-Ææÿ…Væü çÜ…çܦ-Ë$.

(x) UPSC.

Äæý$*°-Äæý$¯Œþ ç³¼ÏMŠü çÜÈÓçÜ$ MæüÑ$-çÙ-¯èþ$.

(b) Answer the following in 1 or 2 words : (5 × 1 = 5)

(i) Who is the Chairman of the Rajya Sabha?

Æ>fÅ-çÜ¿æý bðþOÆæÿïŒþ GÐèþ-Ææÿ$?

(ii) Who is the Home Minister of India?

¿êÆæÿ-™èþ-§óþÔèý çßZ…Ðèþ$…{† GÐèþ-Ææÿ$?

(DPAD 21) 4

(iii) Who is the Chairman of the U.P.S.C.?

Äæý$*°-Äæý$¯Œþ ç³¼ÏMŠü çÜÈÓçÜ$ MæüÑ$-çÙ¯èþ$ bðþOÆæÿÃ-¯Œþ GÐèþ-Ææÿ$?

(iv) Where is Indian Institute of Public Administration located?

¿êÆæÿ™èþ {糿æý$™èþÓ ´ë˯é çÜ…çÜ¦Ë GMæüPyæþ E¯èþ²-¨?

(v) Which Article of Indian constitution provides for an appointment of a Governor in

a state?

Æ>çÙ‰-Ðèþ$$ÌZ, VæüÐèþ-Ææÿ²Ææÿ$ °Äæý*-Ðèþ$Mæü… ¿êÆæÿ™èþ Æ>gêÅ…Væü-Ðèþ$$ÌZ° H A«¨-Mæü-Ææÿ×ý ™ðþË$-ç³#-™èþ$…¨?

–––––––––––

(DSTEL 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Special Telugu

Paper II — SAHITHYA CHARITRA - NATAKAMU

Time : Three hours Maximum : 100 marks

SECTION A

(™ðþË$Væü$ Ýë-íßý™èþÅ ^èþÇ-{™èþ-)

1. (a) èþ èþ²Äæý$ ¿êÆæÿ-™é-{«©Mæü-Ææÿ-×ý 糧æþ®†° ÑÐèþ-Ç…^èþ…yìþ. (20)

Ìôý§é

(b) {Ö¯é-£æþ$° MæüÑ™é È™èþ$-Ͳ ÑÔèý-©-Mæü-Ç…^èþ…yìþ.

2. (a) {糺…«§æþ Äæý$$Væü…ÌZ BÐèþ$$Mæü¢Ðèþ*ËŧæþMæü$ VæüË ÑÕ-çÙt-™èþ èþ$

™ðþË-ç³…yìþ. (20)

Ìôý§é

(b) ÑfÄæý$ ÑÌêçÜ M>ÐèþÅ ÐðþOÕ-ÚëtÅ°² ÑÐèþ-Ç…^èþ…yìþ.

(DSTEL 21) 2

3. (a) {Mìü…¨ Ðé°-ÌZ Æðÿ…yìþ…sìýMìü Ëçœ$$ ÐéÅQÅË$ Æ>Äæý$…yìþ. (10)

(i) ç³…yìþ-™é-Æ>«§æþÅ ^èþÇ-{™èþ.

(ii) ÒÆæÿ-¿æý{§æþ Ñf-Äæý$-Ðèþ$$.

(iii) Ðèþ$ èþ$^èþÇ-{™èþ.

(iv) Mæüâêç³NÆø~-§æþ-Äæý$-Ðèþ$$.

(b) {Mìü…¨ Ðé°-ÌZ Æðÿ…yìþ…sìýMìü Ëçœ$$ ÐéÅQÅË$ Æ>Äæý$…yìþ.

(10)

(i) ™éÅVæü-Äæý$Å.

(ii) †Ðèþ$Ã- èþ.

(iii) Æ>Ðèþ$-Æ>f ¿æý*çÙ-×ý$-yæþ$.

(iv) «§æþ*Ææÿjsìý.

(DSTEL 21) 3

SECTION B

({糆Ðèþ*¯ér-Mæü…)

4. (a) {糆-Ðèþ*-¯é-rMæü ¯éÐèþ -_-™èþÅÐèþ$$ ™ðþÍí³ A¨ G…™èþ-Ðèþ-ÆæÿMæü$

ÝëÆæÿ¦MæüÐðþ* ç³Ç-Ö-Í…^èþ…yìþ. (20)

Ìôý§é

(b) {糆-Ðèþ*-¯é-rMæü…ÌZ° ¨Ó¡-Äæý*…Mæü Mæü£æþ èþ$ Æ>Äæý$…yìþ.

5. (a) {Mìü…¨ Ðé°ÌZ Æðÿ…yìþ…sìýMìü çÜ…§æþ-ÆæÿÂ-çÜ-íßý™èþ ÐéÅQÅË$

Æ>Äæý$…yìþ. (10)

(i) º$Ææÿ-§æþÌZ ¨Væüº-yìþ èþ Væügôý…{§æþ$° MæüÆæÿ-×ìý-Ñ-yìþ_

ò³rt§æþ$Væü§é!

(ii) Ñ«¨ §æþ$Ææÿ-†{MæüÐèþ$×îýÄæý$ Ðèþ$ èþ$r çܵçÙt-Ðèþ$$.

(iii) ™èþË$ÏË çßýçÜ¢-çܵÆæÿØ Æÿ$*™èþ-°Mìü fÌê-Ç®Mìü fÌê…fÍ

Ðèþ…sìý-§æþVæü$V>Mæü.

(iv) H ™èþ-ÍÏ ç³#{™èþ-Mæü$° Äæý$ç³-Æ>«§æþÐèþ$$ „æüÑ$…ç³-§æþ$.

(DSTEL 21) 4

(b) {Mìü…¨ Ðé°-ÌZ Æðÿ…yìþ…sìý° Ýù§é-çßý-Ææÿ-×ý…V> ÑÐèþ-Ç… èþ…yìþ. (10)

(i) ѧæþ*-çÙ-Mæü$-yæþ$.

(ii) çÜ*{™èþ-«§é-Ææÿ$-yæþ$.

(iii) A…Mæü-Ðèþ$$.

(iv) ç³…^èþ-çÜ…«§æþ$-Ë$.

———————

(DSOC 21 (IS))

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Sociology

Paper II — INDIAN SOCIETY

Time : Three hours Maximum : 100 marks

Answer any FIVE questions.

All questions carry equal marks.

1. Examine the linguistic composition of Indian Society.

¿êÆæÿ¡Äæý$ çÜÐèþ*fÐèþ$$ Äñý$$MæüP ¿êÚë ç³ÆæÿÐðþ$O èþ çÜÐóþ$Ãâæý¯é°² ç³È„ìü…ç³#Ðèþ$$.

2. Discuss the significance of Ashrama Dharmas and Purushardhas.

B{ÔèýÐèþ$ «§æþÆ>ÃË$ Ðèþ$ÇÄæý$$ ç³#Ææÿ$ÚëÆ>®Ë$ {´ëÐèþ$$QÅ™èþ èþ$ ^èþÇa…ç³#Ðèþ$$.

3. What is caste? Distinguish between Varna and Caste.

Mæü$ËÐèþ$$ A èþV> óþÑ$? Ðèþ$ÇÄæý$$ ÐèþÆæÿ~Ðèþ$$ Ðèþ$ÇÄæý$$ Mæü$ËÐèþ$$Ë Ðèþ$«§æþÅ VæüË ™óþyéË èþ$ ™ðþË$ç³#Ðèþ$$.

(DSOC 21 (IS)) 2

4. Bring out the factors responsible for the changing

status of women in Hindu Society.

íßý…«§æþ* çÜÐèþ*fÐèþ$$ÌZ ïÜˆË A…™èþçÜ$¢ÌZ ÐèþçÜ$¢ èþ² Ðèþ*Ææÿ$µ èþMæü$

§øçßý§æþÐèþ$$ ^óþÄæý$$ M>ÆæÿM>Ë èþ$ ™ðþË$ç³#Ðèþ$$.

5. Discuss the social organization of Muslims in

India.

¿êÆæÿ¡Äæý$ Ðèþ$$ííÜÏÐŒþ$Ë ÝëÐèþ*hMæü ÐèþÅÐèþÝë¦ èþ èþ$ ^èþÇa…ç³#Ðèþ$$.

6. Examine the concepts of totem and taboo.

sZrÐŒþ$ Ðèþ$ÇÄæý$$ sêº$ (°õÙ§æþÐèþ$$) A óþ ¿êÐèþ èþ èþ$

ç³È„ìü…ç³#Ðèþ$$.

7. Write an essay on tribal family in India.

¿êÆæÿ™èþ§óþÔèýÐèþ$$ÌZ WÇf èþ Mæü$r$…ºÐèþ$$ò³O JMæü ÐéÅçÜÐèþ$$

{ÐéÄæý$$Ðèþ$$.

8. Examine the problem of dowry in Indian society.

¿êÆæÿ¡Äæý$ çÜÐèþ*fÐèþ$$ÌZ ÐèþÆæÿMæür² çÜÐèþ$çÜÅË èþ$ ç³È„ìü…ç³#Ðèþ$$.

9. Define juvenile delinquency and discuss its causes.

»êË óþÆæÿÐèþ$$ èþ$ °ÆæÿÓ_…_, Ðèþ$ÇÄæý$$ ÐésìýMìü VæüË M>Ææÿ×ýÐèþ$$Ë èþ$

^èþÇa…ç³#Ðèþ$$.

(DSOC 21 (IS)) 3

10. Write short notes on any TWO of the following.

(a) Poverty

(b) Unemployment

(c) Beggary

(d) Religious divisions.

D {Mìü…¨ ÐésìýÌZ Æðÿ…yìþ…sìýMìü Ëçœ$$sîýMæü {ÐéÄæý$$Ðèþ$$.

(a) õ³§æþÇMæüÐèþ$$

(b) °Ææÿ$§øÅVæüÐèþ$$

(c) À„æür èþ

(d) Ðèþ$™èþ Ñ¿êV>Ë$.

——————

(DSENG 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Special English

Paper II — SPECIAL ENGLISH

Time : Three hours Maximum : 100 marks

1. (a) Answer any TWO of the following each in 200 words. (20)

(i) Discuss the contribution of John Milton to English poetry.

(ii) Comment on the special features of Metaphysical poetry.

(iii) Give a brief sketch of satirical poetry during the Augustan period.

(iv) Attempt an essay on the Elizabethan poetry.

Read the following passages (b) and (c) carefully and anguler the questions that follow your answer should be complete. They will be evaluated by the corrections of your language and relevant matter. (10 + 10 = 20)

(b) Vivekananda gave a new meaning and directions to Hinduism. His heart throbbed with love for his people and he vowed that he would himself go to hell to buy salvation for

(DSENG 21) 2

them. On his way back to India he toured England and Europe and presented to then Indian philosophy in its true perspective. Margaret Nobel, who later became Vivekananda’s disciple and assumed the name of sister Nivedita had done a lot of service in India.

(i) What did Vivekananda do for Hinduism?

(ii) What did he offer to do for the salvatation of his people?

(iii) What did he do during his tour of England and Europe?

(iv) Who was sister Nivedita?

(v) Which is the word in the passage that means view point?

(c) For God’s sake hold your tongue and let me love, on chide may palsy, on my gont. My five grey hairs or ruind fortune flout with wealth your state, your mind with arts improve.

Take you a course, get you a place observe his honour, or his grace, on the King’s real, on his stamped face contemplate, What you will approve,

So you will let me love.

(DSENG 21) 3

(i) What is the meaning of the opening lines of the poem?

(ii) For what did the poet use the word stamped face?

(iii) Who is the poet and name of the poem?

(iv) What are the exaggerated statements, the author made in the poem?

(v) What does Donne say at the end of the stanza?

2. (a) Answer any ONE of the following: (10)

(i) What is the central theme of Balke’s ‘The School Boy’.

(ii) Attempt a critical appreciation of Donne’s ‘The canonizations’’

(iii) Consider ‘‘The Rape of the ‘Lock’ as a mock heroic poem’’ in the light of the cantos 1 and 2.

(b) Answer any ONE of the following : (10)

(i) Comment on the significance of the opening scene of the play ‘Othello’’.

(ii) Discuss the Role played by Iago.

(iii) Consider Othello as a typical Shakespearean tragedy.

(DSENG 21) 4

3. Answer any TWO of the following : (10 + 10 = 20)

(a) Write a note on the essayists of the age of Restoration.

(b) Discuss the Element of pathos in ‘‘Dream children’’.

(c) Attempt an essay on the central theme of ‘‘on Judicial flattery’’.

(d) Write an essay on the origin and development of the English Essay.

4. Answer any TWO of the following : (10 + 10 = 20)

(a) Attempt an essay on the development of the Novel as a literacy form.

(b) Consider Jane Austen’s pride and prejudice’ as a novel of emotional self - fulfillment.

(c) Write an essay on the characters of Jane and Elizabeth.

(d) Write an essay on the formal perfection of ‘‘Pride and Prejudice’’.

——————

(DHIS 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — History

Paper I — INDIAN HISTORY AND CULTURE FROM

1526 TO 1964 A.D.

Time : Three hours Maximum : 100 marks

PART A — (2 × 20 = 40 marks)

Answer any TWO of the following.

1. Write a note on the political conditions on the eve

of Babur's invasion on India.

¿êÆæÿ-™èþ-§óþ-Ôèý…ò³O »êºÆŠÿ §æþ…yæþ-Äæý*{™èþ ^óþÄæý$$ çÜÐèþ$-Äæý$…ÌZ ðþË-Mö èþ²

Æ>f-MîüÄæý$ ç³Ç-íܦ-™èþ$Ë$ Væü*Ça {ÐéÄæý$$-Ðèþ$$.

2. Discuss the Religious Policy of Akbar.

AMæü¾Ææÿ$ Ðèþ$™èþ Ñ«§é-¯é°² ^èþÇa…^èþ$-Ðèþ$$.

3. Explain the social life under the Mughals.

Ððþ$$çœ$-Ë$Ë M>Ë…ÌZ ðþË-Mö èþ² Ýë…íœ$Mæü ç³Ç-íܦ-™èþ$Ë$ Væü*Ça

{ÐéÄæý$$-Ðèþ$$.

(DHIS 21) 2

4. Give an account of the Revolt of 1857.

1857 Ðèþ çÜ…Ðèþ-™èþÞ-ÆæÿÐèþ$$ çÜ…¿æý-Ñ…_ èþ †Ææÿ$-Væü$-»êr$ Væü*Ça

{ÐéÄæý$$-Ðèþ$$.

PART B — (3 × 15 = 45 marks)

Answer any THREE of the following.

5. Describe the career and achievements of

Shajahan.

Úëf-à Œþ iÑ-™èþÐèþ$$, Ý뫨…_ èþ çœ$ èþ-M>-ÆæÿÅ-Ðèþ$$Ë$ Væü*Ça

ÑÐèþ-Ç…ç³#-Ðèþ$$.

6. Discuss the Economic conditions of India under

the Mughals.

Ððþ$$çœ$-Ë$Ë M>Ë…ÌZ- ðþËMö èþ² BǦMæü ç³Ç-íܦ-™èþ$Ͳ Væü*Ça

ÐèþÇ~…^èþ$-Ðèþ$$.

7. Explain the Reforms of Cornwalles.

M>Ææÿ Œþ ÐéÎçÜ$ çÜ…çÜP-Ææÿ-×ýͲ Væü*Ça ÑÐèþ-Ç…ç³#-Ðèþ$$.

8. Write a note on the role of the Arya Samaj in the

Socio-religions reforms in India.

Ýë…íœ$Mæü Ðèþ$™èþ çÜ…çÜP-Ææÿ-×ý-ËÌZ BÆæÿÅ-çÜ-Ðèþ*-fÐèþ$$ °ÆæÿÓ-íßý…_ èþ

´ë{™èþ Væü*Ça {ÐéÄæý$$-Ðèþ$$.

(DHIS 21) 3

9. Describe the Civil Disobedience Movement.

Ô>çÜ-¯ø-ËÏ…çœ$-¯ö-§æþÅÐèþ$… Væü*Ça ÑÐèþ-Ç…ç³#-Ðèþ$$.

10. Write an essay on the role of the Sardar Vallabhai

Patel in the integration of princely states.

çÜÓ§óþÖ çÜ…Ýë¦-¯éË ÑÎ- èþ…ÌZ çÜÆ>ªÆŠÿ ÐèþËÏ¿êÄŒý$ ç³sôýÌŒý

°ÆæÿÓ-íßý…_ èþ ´ë{™èþ èþ$ Væü*Ça JMæü ÐéÅçÜÐèþ$$ èþ$ {ÐéÄæý$$-Ðèþ$$.

PART C — (3 × 5 = 15 marks)

Answer any THREE of the following.

11. (a) Babur.

»êºÆŠÿ.

(b) Baji Rao.

»êi Æ>Ðèþ#.

(c) Lord Wellesley.

ÐðþËÏ-ïÜÏ {糿æý$-Ðèþ#.

(DHIS 21) 4

(d) Dalhousi.

yæþÌŒýçßo-ïÜ.

(e) Dadabhai Nauroji.

§é§é-¿êÆÿ$$ ¯úÆø-h.

(f) Muhammad Ali Jinnah.

Ðèþ$$çßý-Ðèþ$çŠþ BÎ h¯é².

–––––––––––

(DBSTT 21)

B.A. DEGREE EXAMINATION, DECEMBER 2011.

(Examination at the end of Second Year)

Part II — Statistics

Paper II — STATISTICS

Time : Three hours Maximum : 100 marks

Answer any FOUR questions from Section A and All questions in Section B.

SECTION A — (4 × 20 = 80 marks)

1. (a) For the data given below, find the equation to the best fitted exponential curve of the

form bxaey = .

¨Væü$Ðèþ¯èþ C_a¯èþ §æþ™é¢…çÔèýÐèþ$$¯èþMæü$ bxaey = Ææÿ*ç³…ÌZ° {ÔóýçÙx…V> çÜ…«§é°…^èþºyìþ¯èþ çœ*™èþ Ðèþ{MæüÐèþ$$¯èþMæü$ çÜÒ$MæüÆæÿ×ý…¯èþ$ Mæü¯èþ$MøP…yìþ.

x : 1 2 3 4 5 6

y: 1.6 4.5 13.8 40.2 125.0 300

(b) In a voice test, ten students were ranked by three judges in the following orders :

Mæü…uæÿ «§æþÓ° ç³È„æüÌZ ´ëÌŸ¯èþ² 糨 Ðèþ$…¨ ѧéÅÆæÿ$®ËMæü$, Ðèþ$$Væü$YÆæÿ$ ¯éÅÄæý$ °Æóÿ~™èþË$ ¨Væü$Ðèþ {MæüÐèþ$…ÌZ Æ>…Mæü$˯èþ$ CÐèþÓyæþÐðþ$O…¨ : First Judge : Ððþ$$§æþsìý ¯éÅÄæý$°È~™èþ : 1 6 5 10 3 2 4 9 7 8

Second Judge : Æðÿ…yæþÐèþ ¯éÅÄæý$°È~™èþ : 3 5 8 4 7 10 2 1 6 9

Third Judge :

Ðèþ$*yæþÐèþ ¯éÅÄæý$°È~™èþ : 6 4 9 8 1 2 3 10 5 7

D ¯éÅÄæý$ °È~~™èþË Ðèþ$«§æþÅ VæüË Æ>Å…Mæü$ çÜçßý çÜ…º…«§æþ Væü$×ýMæüÐèþ$$˯èþ$ Mæü¯èþ$MøP…yìþ. H C§æþªÆæÿ$ ¯éÅÄæý$ °È~™èþË$ AÀ{´ëÄæý$Ðèþ$$Ë$ Vö…™èþ$ «§æþÓ°Mìü çÜ…º…«¨…_ HMîü¿æýÑçÜ$¢¯é²Æÿ$$?

2. (a) Given the following data, find both regression equations. Find the likely share price if EPS = Rs. Find the E.P.S. whose share price is 30 Rs.

¨Væü$Ðèþ §æþ™é¢…ÔèýÐèþ$$¯èþ$ç³Äñý*W…_ Æðÿ…yæþ$ {糆VæüÐèþ$¯èþ çÜÒ$MæüÆæÿ×ê˯èþ$ Mæü¯èþ$MøP…yìþ. Ðésê B§éÄæý$… 50 Ææÿ*/Ë$ AÆÿ$$™óþ Ðésê «§æþÆæÿ G…™èþ? Ðésê «§æþÆæÿ 30 Ææÿ*/Ë$ AÆÿ$$¯èþ糚yæþ$, Ðésê B§éÄæý$…¯èþ$ Mæü¯èþ$MøP…yìþ.

EPS Price of share

Mean : A…Mæü Ðèþ$«§æþÅÐèþ$… 39,5 47.5

S.D : {´ëÐèþ*×ìýMæü Ñ^èþ˯èþ… : 10.8 16.8

r : çÜçßý çÜ…º…«§æþ Væü$×ýMæü… +0.42

(DBSTT 21) 2

(b) The Joint density function of a random variable ( )YX , is given by

( )

elsewhere

xaxyyxf

,0

31,,

=

≤≤=, 42 ≤≤ y find

(i) The value of a

(ii) Marginal densities of X and Y

(iii) Conditional densities of X and Y given Y and X respectively.

JMæü Äæý*§æþ–_eMæü ^èþËÆ>Õ ( )YX , Äñý$$MæüP çÜ…Äæý$$Mæü¢ Ýë…{«§æþ™é {ç³Ðóþ$Äæý$…, ( )

elsewhere

xaxyyxf

,0

31,,

=

≤≤=

42 ≤≤ y V> °ÆæÿÓ_…^éÆæÿ$. ©° ¯èþ$…_ :

(i) a ÑË$Ðèþ¯èþ$

(ii) X Ðèþ$ÇÄæý$$ Y Ë E´ë…™èþ Ýë…{§æþ™èþ˯èþ$

(iii) §æþ™èþ¢ Y , X ËMæü$ ÐèþÆæÿ$çÜV> X ,Y Ë çÙÆæÿ™èþ$ Ýë…{§æþ™èþ˯èþ$ Mæü¯èþ$MøP…yìþ..

3. (a) The demand for a spare part in a factory was found to vary from day - to-day according

to the following sample study.

JMæü ¸ëÅMæütÈÌZ JMæü Ñyìþ Ñ¿êVæüÐèþ$$ yìþÐèþ*…yæþ$, ¨Væü$Ðèþ¯èþ C_a¯èþ Ýë…ç³#ÌŒý A«§æþÅÄæý$¯èþ… Ñ«§æþ…V> ÆøkÐéÇV> Ðèþ*Ææÿ$™ø…¨ :

Days :

ÆøkË$ :

Mon

ÝùÐèþ$

Tues

Ðèþ$…Væüâæý

Wed

º$«§æþ

Thurs

Væü$Ææÿ$

Fri

Ôèý${Mæü

Sat

Ôèý°

Number demanded :

yìþÐèþ*…yæþ$ çÜ…QÅ 1124 1125 1110 1120 1126 1115

Test the hypothesis at 5% level of significance that the number of parts demanded does

not depend upon the day of the week.

5% ÝëÆæÿ®Mæü™é Ýë¦Æÿ$$ Ðèþ§æþª "Ñyìþ Ñ¿êVæüÐèþ$$Ë yìþÐèþ*…yæþ$ ÐéÆæÿ…ÌZ° Æøkò³O B«§éÆæÿç³yæþ§æþ$' A¯óþ ç³ÇMæü˵¯èþ¯èþ$ ç³È„ìü…^èþ…yìþ.

(b) State the students t-statistic and defines the density function of t-distribution.

(i) For how money degrees of freedom the t-distribution reduce to Cauchy distribution.

(ii) Find the variance of the t-distribution with n degrees of freedom ( )2>n .

(iii) For a t-distribution with 2 degrees of freedom show that ( )6

632

−=≥tp .

(DBSTT 21) 3

t - Ýë…QÅMæüÐèþ$$¯èþ$ {ç³Ðèþ_…_, t - Ñ¿êf¯èþÐèþ$$ B…{§æþ™é {ç³Ðóþ$Äæý$Ðèþ$$¯èþ$ °ÆæÿÓ_…^èþ…yìþ.

(i) G°² ÝëÓ{™èþ…{™éÅ…MæüÐèþ$$ËMæü$ t - Ñ¿êf¯èþÐèþ$$ MúïÙ Ñ¿êf¯èþÐèþ$$¯èþMæü$ „æüÐèþ$$Æÿ$*Mæü–™èþ… AÐèþ#™èþ$…¨?

(ii) ( )2>n AÆÿ$$¯èþ糚yæþ$ n ÝëÓ™èþ…{™éÅ…MæüÐèþ$$ËMæü$ t-Ñ¿êf¯èþÐèþ$$ ÑçÜ¢ –† Mæü¯èþ$MøP…yìþ.

(iii) 2 ÝëÓ™èþ…{™éÅ…MæüÐèþ$$Ë™ø Mæü*yìþ¯èþ t - Ñ¿êf¯èþÐèþ$$¯èþMæü$ ( )6

632

−=≥tp A° ^èþ*ç³…yìþ..

4. (a) What do you understand by point estimation? What are the criteria of a good

estimator? State and prove a sufficient condition for the consistency of an estimator.

¼…§æþ$ A…^èþ¯é A¯èþV>¯óþÑ$? JMæü Ðèþ$…_ A…^èþ¯é«§éÆæÿÐèþ$$¯èþMæü$ M>ÐèþËíܯèþ Ë„æü×ýÐèþ$$ÌôýÑ? JMæü A…^èþ¯é«§éÆæÿÐèþ$$ Äñý$$MæüP

°ËMæüyæþ™èþÓÐèþ$$¯èþMæü$ ç³Æ>Åçç³¢ °Äæý$Ðèþ$Ðèþ$$¯èþË {ç³Ðèþ_…_ §é°° °Ææÿ*í³…^èþ…yìþ.

(b) Discuss the problem of interval estimation. State and explain the principle of maximum

likelihood for estimation of population parameter. For a large sample what is the

standard error or the maximum likelihood estimator.

A…™èþÆæÿÐèþ$$ A…^èþ¯é çÜÐèþ$çÜůèþ$ ^èþÇa…^èþ…yìþ. ÌZMæü (f¯é¿ê) ç³Æ>Ðèþ$†° A…^èþ¯éÐóþÄæý$yé°Mìü Ðéyóþ VæüÇçÙx çÜ…¿æýÐèþ™èþ çÜ*{™èþÐèþ$$¯èþ$

{ç³Ðèþ_…_, §é°° ÑÐèþÇ…^èþ…yìþ. JMæü º–çßý™Œþ ¯èþÐèþ$*¯éMæü$ VæüÇçÙx çÜ…¿æýÐèþ™é A…^èþ¯é«§éÆæÿÐèþ$$ Äñý$$MæüP {MæüÐèþ$ §øçÙÐèþ$$ G…™èþ?

5. (a) What is a statistical hypothesis? Explain

(i) the concept of the type I and type II errors.

(ii) null hypothesis and alternate hypothesis

(iii) how the best critical region is determined.

Ýë…QÅMæü ç³ÇMæü˵¯èþ A¯èþV>¯óþÑ$? {Mìü…¨ Ðé°° Ñç³#ÎMæüÇ…^èþ…yìþ.

(i) 1 Ðèþ Ðèþ$ÇÄæý$$ 2 Ðèþ ÆæÿMæü… §øÚëË$

(ii) {´ë† 糨Mæü ç³ÇMæü˵¯èþ Ðèþ$ÇÄæý$$ {ç³™éÅÐèþ*²Äæý$ ç³ÇMæü˵¯èþ

(iii){ÔóýççÙxÐðþ$O¯èþ çÜ…¨Væü® {´ë…™èþ…¯èþ$ °Ææÿ~Æÿ$$…^èþ…yìþ.

(b) An won contains 6 marables, of which θ white θ are white and others block. To test

the null hypothesis 3;0 =θH against the alternative 4:1 =θH , two marables are

drawn at random without replacement. 0H is accepted. Find the probabilities of

committing type I and Type II errors.

(DBSTT 21) 4

JMæü ´ë{™èþÌZ 6 VøäË$ E¯é²Æÿ$$. ÒsìýÌZ θ ™ðþËÏ°Ñ Ñ$WͯèþÑ ¯èþËÏ°Ñ. {ç³™éÅÐèþ*²Äæý$ ç³ÇMæü˵¯èþ 4:1 =θH Mæü$

ÑÆæÿ$§æþ®…V>, {´ë† 糨Mæü ç³ÇMæü˵¯èþ 3;0 =θH ¯èþ$ ç³È„ìü…^èþyé°Mìü, Æðÿ…yæþ$ Vøä˯èþ$ Äæý*§æþ–_e…V> ¡íܯèþ Ðésìý° †ÇW ¿æýÈ¢

^óþÄæý$°«§æþ…V>, ¡ÝëÆæÿ$. Æðÿ…yæþ$ VøäË$ ™ðþËÏ°Ñ AÆÿ$$™óþ 0H ¯èþ$ °Æ>MæüÇÝë¢Ææÿ$. AsêÏM>° 糄æü…ÌZ 0H ¯èþ$ A…XMæüÇÝë¢Ææÿ$. 1 Ðèþ

ÆæÿMæü, 11 Ðèþ ÆæÿMæü… §øÚë˯èþ$ ^óþÄæý$VæüË çÜ…¿êÐèþÅ™èþ˯èþ$ Mæü¯èþ$MøP…yìþ.

6. (a) State central limit theorem. Explain how this theorem can be used for testing and

internal estimation of difference of two means and two proportions.

Móü…{©Äæý$ AÐèþ«¨ íܧ鮅™èþÐèþ$$¯èþ$ {ç³Ðèþ_…^èþ…yìþ. D íܧ鮅™èþÐèþ$$¯èþ$ ç³ÇMæü˵¯èþ ç³È„æüMæü$ Ðèþ$ÇÄæý$$ Æðÿ…yæþ$ A…Mæü Ðèþ$«§æþÅÐèþ$Ðèþ$$Ë ™óþyé,

Æðÿ…yæþ$ Ðèþ…™èþ$Ë ™óþyéË Äñý$$MæüP A…™èþÆæÿÐèþ$$Ë A…^èþ¯éMæü$ GsêÏ Eç³Äñý*WÝë¢Ððþ*, ÑÐèþÇ…^èþ…yìþ.

(b) Before an increase in the excise duty on tea, 800 people out the a sample of 1000 were

consumers of tea. After the increase in duty, 800 people were consumers of tea in a

sample of 1200. Find whether there is a significant decrease in the consumption of tea

after increase in excise duty at 1% Los.

sîý ò³O GMðüOÞgŒý çÜ$…Mæü… ò³…^èþ° {Mìü™èþ… JMæü Ýë…ç³#ÌŒýÌZ° 1000 Ðèþ$…¨ÌZ 800 Ðèþ$…¨ sîý {™éVóü ÐéÆæÿ$ E¯é²Ææÿ$. çÜ$…Mæü… ò³…_¯èþ

™èþÆæÿ$Ðé™èþ 1200 Ðèþ$…¨ Ýë…ç³#ÌZ 800 Ðèþ$…¨ sîý {™éVóü ÐéÆæÿ$¯é²Ææÿ$. sîý ò³O GMðüOÞgŒý çÜ$…Mæü… ò³…_¯èþ ™èþÆæÿ$Ðé™èþ sîý ÐéyæþMæü…ÌZ

Væü×ý±Äæý$Ððþ$O¯èþ ™èþVæü$Y§æþ¯èþ E…§óþÐðþ*, 1% ÝëÆæÿ®Mæü™éÝë¦Æÿ$$ Ðèþ§æþ® Mæü¯èþ$MøP…yìþ.

7. (a) Define 2X - distribution and its probability density function. State two properties and

two uses of this distribution. Explain the −2X test of goodness of fit.

2X - Ñ¿êf¯èþÐèþ$$¯èþ$ °ÆæÿÓ_…_, §é° çÜ…¿êÐèþÅ™é Ýë…{§æþ {ç³Ðóþ$Äæý*°² ™ðþËç³…yìþ. D Ñ¿êf¯èþÐèþ$$¯èþMæü$ Æðÿ…yæþ$ «§æþÆæÿÃÐèþ$$˯èþ$,

Æðÿ…yæþ$ Eç³Äñý*V>˯èþ$ Æ>Äæý$…yìþ. 2X - & ç³È„æü Äñý$$MæüP çÜ…«§é¯èþ™é {ÔóýçÙx™èþ¯èþ$ ÑÐèþÇ…^èþ…yìþ.

(b) Two batches, each of 12 animals were taken for test of inoculation. One batch was

inoculated and the other batch was not, following table gives the number of dead and

surviving animals for both cases. Find whether insoculation be regarded as effective

against.

JMöPMæüP »êÅ^ŒþÌZ 12 f…™èþ$Ðèþ#˯èþ$ MæüÍW¯èþ Æðÿ…yæþ$ »êÅ^Œþ˯èþ$ C…f„æü¯Œþ ^óþÆÿ$$…^èþyé°Mìü ¡çÜ$Mæü$ ÐðþâêåÆæÿ$. ÐésìýÌZ JMæü »êÅ^ŒþMóü

C…f„æü¯èþ$Ï ^óþÆÿ$$…^éÆæÿ$. ¨Væü$Ðèþ ç³sìýtMæüÌZ Æðÿ…yæþ$ çÜ…§æþÆ>ÂËÌZ¯èþ$ ^èþ°´ùÆÿ$$¯èþ {º†Mìü E¯èþ² f…™èþ$Ðèþ#Ë çÜ…Qůèþ$ CÐèþÓyæþÐðþ$O…¨.

f…™èþ$Ðèþ#ËMæü$ C…f„æü¯Œþ CÐèþÓyæþ… ÐéÅ«¨ ÝùMæüMæü$…yé ^óþÄæý$yé°Mìü §øçßý§æþ… ^óþÝù¢…§óþÐðþ* Mæü¯èþ$MøP…yìþ.

Dead

^èþ°´ùÆÿ$$¯èþÑ Survived

iÑ…_ E¯èþ²Ñ

Total

Ððþ$$™èþ¢…

Inoculated

C…f„æü¯Œþ ^óþíܯèþÑ 2 10 12

Not inoculated

C…f„æü¯Œþ ^óþÄæý$°Ñ 8 4 12

Total

Ððþ$$™èþ¢… 10 14 24

(DBSTT 21) 5

8. (a) Develop the Mann-Whiteney-Will coxon test and obtain the mean and variance of the

test statistic. How is the test carried out for large numbers?

Ðèþ*¯Œþ&Ñsîý²&ÑÌŒý MøMæüÞ¯Œþ ç³È„æü¯èþ$ ÑÐèþÇ…_, ç³È„> Ýë…QÅMæü… Äñý$$MæüP A…Mæü Ðèþ$«§æþÅÐèþ$…, ÑçÜ¢ –†Ë¯èþ$ Æ>ºrt…yìþ. º–çßýÌŒý

çÜ…QÅËMæü$ D ç³È„æü¯èþ$ GsêÏ °ÆæÿÓÇ¢Ýë¢Æø ™ðþËç³…yìþ.

(b) The observations of a random sample of the size 10 from a distribution which is

symmetric about 5.K are 20.2, 24.1, 21.3, 17.2, 19.8, 16,.5, 21.8, 18.7, 17.1, 19.9. Use

Wilcoxon’ test to test the hypothesis 18: 5.0 =KH against 18: 5.1 >KH if 05.0=α ,

using normal approximation.

20.2, 24.1, 21.3, 17.2, 19.8, 16,.5, 21.8, 18.7, 17.1, 19.9 5.K ç³Ææÿ…V> ÝûçÙxÐèþ…V> E¯èþ² JMæü Ñ¿êf¯èþÐèþ$$

¯èþ$…_ 10 òÜOk MæüÍW¯èþ JMæü Äæý*§æþ–_eMæü Ýë…ç³#ÌŒý Äñý$$MæüP ç³ÇÖ˯èþ˯èþ$ ò³O¯èþ CÐèþÓyæþÐðþ$O…¨. 05.0=α AÆÿ$$™óþ

18: 5.1 >KH ÑÆæÿ$§æþ®Ðèþ$$V> 18: 5.0 =KH ç³ÇMæü˵¯èþ¯èþ$, ÝëÐèþ*¯èþÅ EgêjÆÿ$$…ç³#¯èþ$ç³Äñý*W…_, ÑÐŒþ MøMìüÞ¯Œþ ç³È„æü™ø

ç³È„ìü…^èþ…yìþ.

SECTION B — (10 × 2 = 20 marks)

9. (a) State the principle of least squares.

Mæü°çÙt ÐèþÆ>YË çÜ*{™èþÐèþ$$¯èþ$ {ç³Ðèþ_…^èþ…yìþ.

(b) Define the product moment correlation coefficient. State its properties.

çÜçß çÜ…º…«§æþ Væü$×ýMæü çœ*†Mìü ˺ªÐèþ$$Ë$¯èþ$ °ÆæÿÓ_…^èþ…yìþ.

(c) Distinguish between correlation and regression.

ç çÜçß çÜ…º…«§æþ, {糆 VæüÐèþ$¯èþÐèþ$$Ë Ðèþ$«§æþÅ »ôý«§æþÐèþ$$¯èþ$ ™ðþËç³…yìþ.

(d) What is standard error? State its uses.

VæüÇçÙx çÜ…¿æýÐèþ™èþ A…^èþ¯é A¯èþV>¯óþÑ$? §é° A¯èþ…™èþ çܵÆæÿØ «§æþÆæÿÃÐèþ$$˯èþ$ {ç³Ðèþ_…^èþ…yìþ.

(e) What is a maximum likelihood estimate? State its asymptotic properties.

VæüÇçÙx çÜ…¿æýÐèþ™èþ A…^èþ¯é A¯èþV>¯óþÑ$? §é° A¯èþ…™èþ çܵÆæÿØ «§æþÆæÿÃÐèþ$$˯èþ$ {ç³Ðèþ_…^èþ…yìþ.

(DBSTT 21) 6

(f) State the Fishers Z - transformation and its uses.

íœçÙÆŠÿ Z - Ææÿ*´ë…™èþÆæÿ×ýÐèþ$$¯èþ$ {ç³Ðèþ_…_, §é° Eçç³Äñý*VæüÐèþ$$˯èþ$ ™ðþËç³…yìþ.

(g) Explain the terms

(i) Level of significance and

(ii) Power of a test.

(i) ÝëÆæÿ®Mæü™é Ýë¦Æÿ$$ Ðèþ$ÇÄæý$$

(ii) ç³È„æü ÝëÐèþ$Ææÿ®ÅÐèþ$$˯èþ$ ÑÔèý©MæüÇ…^èþ…yìþ.

(h) State Neyman-Pearson Lemma. What is its utility?

¯óþÐèþ$¯Œþ&í³Äæý$ÆŠÿçܯŒþ Eç³íܧ鮅™èþÐèþ$$¯èþ$ {ç³Ðèþ_…^èþ…yìþ. §é°Äñý$$MæüP Eç³Äñý$$VæüÐóþ$Ñ$?

(i) Compare parametric tests with non-parametric tests.

ç³Æ>Ñ$¡Äæý$ ç³È„æü˯èþ$ Aç³Æ>Ñ$¡Äæý$ ç³È„æüË™ø çÜÇ´ùËa…yìþ.

(j) Define a ‘run’. Explain one sample run test.

"Ææÿ¯Œþ' ¯èþ$ °ÆæÿÓ_…^èþ…yìþ. HMæü¯èþÐèþ$*¯é (Ýë…í³ÌŒý) Ææÿ¯Œþ ç³È„æü¯èþ$ ÑÐèþÇ…^èþ…yìþ.

—————