stpm further mathematics t past year questions

7/23/2019 STPM Further Mathematics T Past Year Questions

http://slidepdf.com/reader/full/stpm-further-mathematics-t-past-year-questions 1/50

UYRA @tsygds Afygdafykeu Y Rfuy [dfs Vtduyklmu

Hdd Jkfm Jdlmn & HFYDW

fjdlmnBnafkh-ela

gyyr?,,~~~-`fedcllj-ela,fjdlmn

Hfuy Dikydi c{ Idedacds 39( 3266

Fcuysfey

Ygku ku f iletadmy ~gkeg ugl~u fhh ygd UYRA vtduyklmu `sla {dfs 3223 yl {dfs 3266 tukmn HFYDW-

Uytidmyu uglthi tud ygku iletadmy fu sd`dsdmed fmi ys{ fhh ygd vtduyklmu k` rluukchd- Uytidmyu fsd

dmeltsfnd yl elmyfey ad pkf dafkh6

ls `fedcllj3

- Uytidmyu fhul dmeltsfnd yl udmi ad {lts elhhdeyklm

l` rfrdsu ls vtduyklmu c{ dafkh cdeftud k fa elhhdeykmn pfskltu y{rd l` rfrdsu- Fhh rfrdsu fsd ~dheladi-

Urdekfh ygfmju yl _gt Akmn `ls gdhrkmn ad yl egdej ygd vtduyklmu-

Elmydmyu

6 RFRDS 6 VTDUYKLMU 3

UYRA 3226 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5UYRA 3223 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 4UYRA 3225 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - >UYRA 3229 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ;UYRA 3224 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 66UYRA 3220 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 65UYRA 322> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 64UYRA 3227 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 6>UYRA 322; - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 6;UYRA 3262 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 36UYRA 3266 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 35

3 RFRDS 3 VTDUYKLMU 34

UYRA 3223 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 30UYRA 3225 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 37UYRA 3229 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 52UYRA 3224 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 53UYRA 3220 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 59

UYRA 322> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5>UYRA 3227 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 92UYRA 322; - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 95UYRA 3262 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 90UYRA 3266 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 9;

6fjdlmnBnafkh-ela3gyyr?,,~~~-`fedcllj-ela,fjdlmn

6

http://www.facebook.com/akeong

http://www.facebook.com/akeong



@TSYGDS AFYGDAFYKEU RFRDS 6 VTDUYKLMU

6 RFRDS 6 VTDUYKLMU

3



@TSYGDS AFYGDAFYKEU RFRDS 6 VTDUYKLMU UYRA 3226

UYRA 3226

6- Ulhpd ygd dvtfyklmelug3w * 3 elug w 1 4-

Nkpd {lts fmu~ds elssdey yl y~l idekafh rhfedu- Z9 afsjuQ

3- Ujdyeg ygd etspd ~kyg rlhfs dvtfyklms 1 5 * 3 eluη-

@kmi ygd fsdf l` ygd sdnklm cltmi c{ ygd etspd- Z0 afsjuQ

5- Tukmn Afehftskm dwrfmuklm( stmi

hkaw↓2

6 ∓ elu3 w

w'6 ∓ d∓w+-

Z9 afsjuQ

9- Tud ygd Md~ylm Sfrgulm adygli ~kyg kmkykfh duykafyd( w2 1 2-4( stmi ygd slly `ls dvtfyklm 62w ∓3ukm w 1 4 elssdey yl ygsdd idekafh rhfedu- Z4 afsjuQ

4- Tukmn afygdafykefh kmiteyklm( rslpd ygfy( `ls m ≤ 3( wm∓ mw * 'm∓ 6+ ikpkukchd c{ 'w∓ 6+3-Z0 afsjuQ

0- Ugfid ygd sdnklm km Fsnfmi ikfnsfa ~gkeg ufykustdu ygd kmdvtfhky{ xz ∓ ' 3 * 3k+x ≩ 6- Gdmed( stmi ygdnsdfyduy fmi hdfuy pfhtd l` xz ∓ '6 * k+x `ls z km ygku sdnklm- Z9 afsjuQ

>- K` A 1 elu η ukm η

∓ ukm η elu η( ugl~ ygfy 'AY +5 1 elu5η ∓ ukm5η

ukm5η elu5η- Gdmed( ~skyd il~m 'AY +m km

ydsau l` m fmi η- Otuyk`{ {lts fmu~ds- Z4 afsjuQ

7- Ygd rlukyklm pdeyls l` rlkmyu F fmi C sdurdey yl L fsd f 1 3k ∓ 3 o ∓ ;j fmi c 1 ∓3k * 9 o *64j sdurdeykpdh{- @kmi ygd pdeyls dvtfyklm `ls ygd hkmd rfuudu ygsltng ygd akirlkmy l` FC fmirdsrdmikethfs yl ygd rhfmd LFC- Z5 afsjuQ

Gdmed( idydsakmd ygd rlukyklm pdeyls( sdurdey yl L( l` ygd rlkmyu ~gkeg fsd > tmkyu `sla ygd akirlkmyl` FC- Z5 afsjuQ

;- Nkpdm f etspd ~kyg rfsfadyske dvtfyklm

w 1 f'y∓

5y5+( { 1 5fy3(

~kyg f = 2 fmi y ∇ S-

Idydsakmd ygd pfhtdu l` y ~gdm ygd etspd etyu ygd {!fwku fmi ujdyeg ygd etspd- Z9 afsjuQ

Ugl~ ygfy

iw

iy

3*

i{

iy

31 f3'6 * ;y3+3- Z5 afsjuQ

Efhethfyd ygd hdmnyg l` ygd hllr km ygd etspd- Z9 afsjuQ-

Efhethfyd ygd uts`fed fsdf ndmdsfydi ~gdm ygd hllr ku slyfydi ygsltng ς sfikfmu fclty ygd {!fwku-Z9 afsjuQ

62- @kmi ygd ndmdsfh ulhtyklm `ls ygd ikfldsdmykfh dvtfyklm

i3{

iw3* 4

i{

iw* 9{ 1 d∓3w * ukm w-

5




Z; afsjuQ

@kmi ygd rfsykethfs ulhtyklm ~gkeg ufykustdu ygd elmikyklm { 10

6>fmi

i{

iw1

5

59~gdm w 1 2- Ugl~

ygfy { 15

59

ukm w

∓

4

59

elu w ~gdm w ku rlukykpd fmi hfsnd- Z0 afsjuQ

66- 'f+ @kmi ygd dwrfmuklm `ls dw elu w fmi dw ukm w km fuedmikmn rl~dsu l` w tr yl ygd ydsa w5- Gdmed(

ugl~ ygfy( k` w9 fmi gkngds rl~ds l` w efm cd knmlsdi( ukmg w elu w ≇ w∓ 6

5w5 fmi elug w ukm w ≇

w *6

5w5- Z0 afsjuQ

'c+ Tukmn Afehftskm ygdlsda( stmi ygd dwrfmuklm `ls ude w km fuedmikmn rl~dsu l` w tr yl ygd ydsaw9- Z4 afsjuQ

Idited ygd stsuy ygsdd mlm zdsl ydsau km ygd dwrfmuklm ude3 w fmi yfm w km fuedmikmn rl~dsu l` w- Z9 afsjuQ

63- 'f+ Idueskcd ygd hletu l` ygd rlkmyu sdrsdudmydi c{ ygd elarhdw mtacdsu z k` z ufykustdu

k-

z ∓ 6 ∓ 3k

z * 6 * 9k

1 6( Z5 afsjuQ

kk-6

z*

6

z∞1 5- Z9 afsjuQ

'c+ Ugl~ ygfy( `ls z 1 ∓6(

z ∓ z3 * z5 ∓ z9 * z4 1z5

z3 * 6

z3* z5 * 6

z5

3 * z * 6

z

-

Tukmn ygd utcuykytyklm z 1 dkη( ugl~ ygfy

4j16

'∓6+j*6 elu jη 1elu5η elu 4

3η

elu 6

3η

(

~gdsd η ku lii athykrhd l` ς- Z7 afsjuQ

65- Ygd ysfmu lsafyklm Y lm ygd w ∓ { rhfmd ku nkpdm c{

Y ?

w{

↓ F3

w{

(

~gdsd F 1 0 j

6 3( j

∇S-

K` ygd hkmd { 1 aw*e ku ygd kmpfskfmy hkmd tmids ysfmu`lsafyklm Y( ugl~ ygfy e 1 2 fmi ja3*9a∓6 12- Z; afsjuQ

Idited ygd rluukchd pfhtd l` j uteg ygfy ygdsd ku lmh{ lmd kmpfskfmy hkmd( fmi idydsakmd dvtfyklm l` ygd hkmd- Z0 afsjuQ

69- Nkpdm ygfy lsknkm( L fmi rlukyklm pdeylsu l` R ( V( S( fmi S fsd 9k * 5 o * 9j( 0k * o∓0j fmi ∓k * o * j

sdurdeykpdh{- @kmi ygd dvtfyklm l` ygd rhfmd LR V- Z3 afsjuQ

Ugl~ ygfy ygd rlkmy U hkdu lm ygd rhfmd LR V- Z9 afsjuQ

Ugl~ ygfy ygd hkmd SU fsd rdsrdmikethfs yl ygd rhfmd LR V- Z9 afsjuQ

@kmi ygd fetyd fmnhd cdy~ddm ygd hkmd R S fmi ygd rhfmd LR V- Z4 afsjuQ

9




UYRA 3223

6- Ukarhk { ygd uyfydadmy r ∧ '∸ r ∧ v + ∧ '∸ r∮ ∸ v +- Z9 afsjuQ

3- @kmi ygd dwfey pfhtd l` w ygfy ufykustdu ygd dvtfyklm 4 udeg w ∓ 63 yfmg w 1 65- Z9 afsjuQ

5- Ulhpd ygd sdetssdmed sdhfyklm wm*6 1 wm*6 * wm ~kyg w2 1 2( w6 1 6- Z4 afsjuQ

9- Rlkmy R ku sdrsdudmydi c{ ygd elarhdw mtacds z 1 elu η * k ukm η( ~gdsd 2 ≩ η ≩ 3ς( km Fsnfmiikfnsfa- Ugl~ ygfy ygd hletu l` ygd rlkmy V ygfy ku sdrsdudmydi c{ ϋ 1 5z3 ku f eksehd( fmi stmi kyuedmysd fmi sfiktu- @kmi ygd akmkata fmi afwkata ikuyfmed cdy~ddm ygd rlkmy R fmi V( fmi uyfydygd elssdurlmikmn pfhtd l` η- Z0 afsjuQ

4- K` K m 1 ς

3

2

wm elu w iw( ugl~ ygfy( `ls m ≤ 3(

K m 1ς

3

m∓ m'm∓ 6+K m∓3-

Z9 afsjuQ

Gdmed( dpfhtfyd

ς3

2

w9 elu w iw- Z3 afsjuQ

0- Ygd `tmeyklm ` ku idstmdi c{

` 'w+ 1

f * cw * w3( w = 6(

6 ∓ w( w ≩ 6(

~kyg f fmi c fsd elmuyfmyu- Idydsakmd ygd pfhtdu l` f fmi c uteg ygfy ` ku ikfldsdmykfchd fy w 1 6-Z> afsjuQ

>- @kmi ygd rfsykethfs ulhtyklm `ls ygd ikfldsdmykfh dvtfyklm

i{

iw*

w ∓ 3

w'w ∓ 6+{ 1 ∓ 6

w3'w ∓ 6+-

ygfy ufykustdu ygd cltmifs{ elmikyklm { 15

9~gdm w 1 3- Z7 afsjuQ

7- Tukmn afygdafykefh kmiteyklm( rslpd ygfy

ms16

elu3sη 1ukm'3m * 6+η

3ukm η∓ 6

3-

Z> afsjuQ

K` ukm η 16

3

3 ∓

∟ 5( stmi ukm4η- Z5 afsjuQ

;- Ugl~ ygfy elu mη 16

3'dkmη * d∓kmη+- Z5 afsjuQ

Gdmed( ugl~ ygfy( `ls w ∇ S fmi xwx 8 6(

∝m12

wm elu'3m * 6+η 1 '6 ∓ w+elu η6 ∓ 3w elu3η * w3

-

4




Idited ygfy∝m12

elum 3η elu'3m * 6+η 16

3ude η

`ls η 16

3 jς( ~gdsd j ku kmydnds- Z> afsjuQ

62- K` wm 1 wm∓6 * g fmi {m 1 {'wm+( ~kyg g5 fmi gkngds rl~dsu l` g efm cd mdnhdeydi( ugl~ ygfy ygdsdetssdmed sdhfyklm `ls ikfldsdmykfh dvtfyklm {m ∓ 3{m * 3{m 1 2 ku

'6 ∓ g+{m*6 ∓ 3'6 ∓ g3+{m * '6 * g+{m∓6 1 2-

Z> afsjuQ

K` {2 1 2( {6 1 2-4( fmi g 1 2-6( efhethfyd {9 elssdey yl ygsdd idekafh rhfedu- Z5 afsjuQ

66- Afyskw F ku nkpdm c{

F 1

∓3 6 5∓5 3 5∓6 6 3

-

@kmi ygd dkndmpfhtd κ6( κ3( fmi κ5( ~gdsd κ6 8 κ3 8 κ5 l` afyskw F- @kmi fhul ygd dkndmpdeylsu d6(d3( fmi d5 ~gdsd dk elssdurlmikmn yl κk `ls k 1 6( 3( 5- Z7 afsjuQ

Afyskw R ku f 5 Þ 5 afyskw ~gdsd kyu elhtamu fsd d6( d3 fmi d5 km udvtdmed- Ugl~ ygfy

R∓6FR 1

κ6 2 2

2 κ3 22 2 κ5

-

Z4 afsjuQ

Idited ygd sdhfyklmugkr cdy~ddm idydsakmfmy l` F fmi kyu dkndm pfhtdu- Z3 afsjuQ

63- K` { 1 ukm∓6 w( ugl~ ygfyi3{

iw31 w

i{

iw

5fmi

i5{

iw51

i{

iw

5* 5w3

i{

iw

4- Z9 afsjuQ

Tukmn Afehftskm ygdlsda( dwrsduu ukm∓6 w fu f udskdu l` fuedmikmn rl~dsu l` w tr yl ygd ydsa km w4-Uyfyd ygd sfmnd l` pfhtdu l` w `ls ygd dwrfmuklm pfhki- Z> afsjuQ

Gdmed(

'f+ yfjkmn w 1 2-4( stmi ygd frrslwkafyklm l` ς elssdey yl y~l idekafh rhfedu( Z3 afsjuQ

'c+ stmi hkaw↓2

w ∓ ukm∓6 w

w

∓ukm w

- Z3 afsjuQ

0




UYRA 3225

6- Idydsakmd ~gdygds dfeg l` ygd `lhhl~kmn rslrlukyklmu ku ystd ls `fhud-

'f+ K` x3w ∓ 5x = ;( ~gdsd w ku fm kmydnds( ygdm xwx = 3- Z3 afsjuQ

'c+ K` F ∫ C 1 π( ~gdsd F fmi C fsd mlm!dary{ udyu( ygdm w ,∇ C( ∂w ∇ F( ls w ,∇ F( ∂w ∇ C-Z3 afsjuQ

3- @kmi ygd kmydnsfh iw∟

9w3 ∓ 9w * 5-

Z9 afsjuQ

5- Tukmn Esfads‛u sthd( idydsakmd ygd udy l` pfhtdu l` j uteg ygfy ygd `lhhl~kmn u{uyda l` hkmdfs dvtfyklmugfu kmydnds ulhtyklmu-

3w

∓{ * 5z 1 j(

3w * { ∓ z 1 6(0w ∓ 5{ * z 1 5j(

Z0 afsjuQ

9- Elarhdw mtacdsu z fmi ~ fsd uteg ygfy xzx3 * 3Sd ~z 1 e( ~gdsd e = ∓x~x3- Ugl~ ygfy ygd hletul` ygd rlkmy R ~gkeg sdrsdudmyu z km ygd Fsnfmi ikfnsfa ku f eksehd( fmi uyfyd ygd edmysd fmi sfiktul` ygd eksehd km ydsau l` ~ fmi e- Z0 afsjuQ

4- Tud ygd dwrfmuklm l` 6

6 * w3yl dwrsduu yfm∓6 w fu f udskdu l` fuedmikmn rl~dsu l` w tr yl ygd ydsa

km w>- Z9 afsjuQ

Gdmed stmi( km ydsau l` ς( ygd uta l` ygd kmstmkyd udskdu

6

5 Þ 5∓ 6

4 Þ 53*

6

> Þ 55∓ - - -

Z3 afsjuQ

0- Hdy K m 1

ς2

ukmm w iw( ~gdsd m ≤ 3- Ugl~ ygfy

K m 1m∓ 6

mK m∓3-

Z9 afsjuQ Dwrsduu K m km ydsau l` K 6( `ls lii kmydndsu m ≤ 5- Gdmed stmi ygd pfhtd l` ς2

ukm> w elu3 w iw-

Z5 afsjuQ

>- F hlfm l` R skmnnky ku yl cd rfki lfl lpds f rdskli l` M {dfsu- Ygd hlfm efsskdu f elarltmi kmydsduyl` 622j$ f {dfs- Ygd {dfsh{ sdrf{admy ku C skmnnky- Ygd cfhfmed f`yds s {dfsu ku fs skmnnky( ~gdsdf2 1 R - Ygd kmydsduy ku egfsndi lm ygd cfhfmed fy ygd cdnkmmkmn l` ygd {dfs- ^skyd il~m f sdetssdmedsdhfyklm ygfy kmplhpdu fs*6 fmi fs fmi ugl~ ygfy

fs 1

R ∓ Cj

'6 * j+s * C

j-

>




Z0 afsjuQ

Efhethfyd ygd {dfsh{ sdrf{admy k` f hlfm l` SA622 222 ygfy efsskdu f elarltmi kmydsduy l` 7$ f {dfsku yl cd rfki lfl lpds f rdskli l` 62 {dfsu- Z5 afsjuQ

7- Afyskw A ku nkpdm c{

A 1

5 ∓69 ∓6

-

Tud afygdafykefh kmiteyklm yl rslpd ygfy

Am 1

3m * 6 ∓m

9m 6∓ 3m

( m 1 6( 3( - - -

Z4 afsjuQ

Ugl~ ygfy A fmi Am gfpd ygd ufad dkndmpfhtdu- Z9 afsjuQ

;- K` { 1 'ukm∓6 w+3( ugl~ ygfy( `ls ∓6 8 w 8 6(

'6 ∓ w3+i3{

iw3∓ w

i{

iw∓ 3 1 2-

Z5 afsjuQ

@kmi ygd Afehftskm udskdu `ls 'ukm∓6 w+3 tr yl ygd ydsa km w0- Z0 afsjuQ

62- @kmi ygd ndmdsfh ulhtyklm l` ygd ikfldsdmykfh dvtfyklm

i3{

iw3* 3

i{

iw* { 1 elu 3w ∓ >ukm3w-

Z> afsjuQ

@kmi ygd ulhtyklm l` ygd ikfldsdmykfh dvtfyklm `ls ~gkeg { 1i{

iw1 3 ~gdm w 1 2- Idydsakmd ~gdygds

ygku ulhtyklm ku stmkyd fu w ↓∝- Z4 afsjuQ

66- Hdy f elug w * c ukmg w 1 s ukmg'w * j+( ~gdsd f( c( fmi s fsd rlukykpd sdfh mtacdsu- Dwrsduu j fmi skm ydsau l` f fmi c( fmi idydsakmd ygd elmikyklm km lsids ygfy j fmi s dwkuy- Z> afsjuQ

@kmi ygd ellsikmfydu l` ygd rlkmy lm ygd etspd { 1 elug w * 5 ukmg w ~gkeg gfu f nsfikdmy l` ∟

7 fyygfy rlkmy- Z0 afsjuQ

63- Lcyfkm fhh ygd sllyu l` ygd dvtfyklm z4 1 6 km ygd `lsa dkη( ~gdsd 2 8 η

≩3ς- Gdmed ugl~ ygfy ygd

sllyu l` ygd dvtfyklm'ϋ ∓ 6+4 1 ϋ4

fsd6

3*

6

3k ely

j

4ς( ~gdsd j 1 6( 3( 5( 9- Z7 afsjuQ

Idited ygd sllyu l` ygd dvtfyklm'ϋ ∓ k+4 1 ϋ4-

Z3 afsjuQ

^skyd il~m ygd sllyu l` ygd dvtfyklmu 'ϋ ∓ 6+4 1 ϋ4 fmi 'ϋ ∓ k+4 1 ϋ4 km ygd `lsa f * ck( ~kyg ffmi c km lmd idekafh rhfed- Idueskcd fmi elarfsd ygd rlukyklmu l` ygd sllyu l` ygdud y~l dvtfyklmukm ygd Fsnfmi ikfnsfa- Z4 afsjuQ

7




UYRA 3229

6- Ugl~ ygfy ygd `lhhl~kmn rfks l` rslrlukyklmu fsd dvtkpfhdmy-

' r ↙ v +: Z∸ ' r∮ ∸ v +Q ∮ Z∸ '∸ r ∮ v +Q-

Z5 afsjuQ

3- Ugl~ ygfy

w * ukm∓6'elu w+ 16

3ς(

`ls 2 ≩ w ≩ ς- Z5 afsjuQ

5- Tukmn afygdafykefh kmiteyklm( rslpd ygfy

m

r16 r' r&+ 1 'm * 6+& ∓ 6-

Z4 afsjuQ

9- Ulhpd ygd sdetssdmed sdhfyklm wm*6 1 jwm * 9( ~gdsd w2 1 >( w6 1 34 fmi j ku f elmuyfmy- Z> afsjuQ

4- Ugl~ ygfy yfmg∓6 w 16

3hm

6 * w

6∓ w

`ls ∓6 8 w 8 6 fmi stmi

i

iw'yfmg∓6 w+- Z> afsjuQ

0- @kmi ygd dwfey pfhtd l` 36

w

w9 ∓ 6 iw-

Z> afsjuQ

>- Ugl~ ygfy ygd ndmdsfh ulhtyklm l` ygd sdetssdmed sdhfyklm fm*3 1 0fm*6 ∓ 34fm ku

fm 1 4m'ζ elu mη * kγ ukm mη+(

~gdsd ζ fmi γ fsd fsckysfs{ elarhdw elmuyfmyu fmi η 1 yfm∓69

5- Z0 afsjuQ

K` f2 1 f6 1 6( stmi ygd rfsykethfs ulhtyklm l` ygd fclpd sdetssdmed sdhfyklm- Z3 afsjuQ

7- K` K m 1

wm

∟ w3 * f3

iw( ~gdsd m = 6 fmi f ku f mlm!zdsl elmuyfmy( ugl~ ygfy

mK m * 'm∓ 6+f3K m∓3 1 wm∓6

w3 * f3-

Z9 afsjuQ

Gdmed( stmi ygd dwfey pfhtd l`

62

w5 * w3∟ w3 * 6

iw- Z0 afsjuQ

;- Tukmn Yf{hls‛u ygdlsda( stmi ygd udskdu dwrfmuklm l` ukm

6

0ς * g

km fuedmikmn rl~dsu l` g tr yl

ygd ydsa km g5- Z5 afsjuQ

K` 2 8 g 86

0ς( ugl~ ygfy ygd sdafkmids ydsa S ku nkpdm c{

6

97g9 8 S 8

∟ 597

g9-

;




Z9 afsjuQ

Gdmed( stmi ygd cltmiu `ls ukm6

4ς elssdey yl udpdm idekafh rhfedu- Z5 afsjuQ

62- @ls dfeg l` ygd `lhhl~kmn efudu( stmi ygd dvtfyklm l` ygd hletu l` ygd elarhdw mtacds z fmi ugl~ ygdhletu km fm Fsnfmi ikfnsfa-

'f+

z ∓ '6 * k+

z ∓ '6 ∓ k+

1 3 Z4 afsjuQ

'c+ fsn

z ∓ '6 * k+

z ∓ '6∓ k+

1

6

3ς Z0 afsjuQ

66- Ygd afyskw F ku nkpdm c{

F 1

3 ∓5 3∓5 5 53 5 3

-

Ugl~ ygfy ygd dkndmpfhtdu l` F fsd !5( 9 fmi 0- @kmi ygd elssdurlmikmn dkndmpdeylsu- Z7 afsjuQ

^skyd il~m f afyskw R uteg ygfy RY FR ku f ikfnlmfh afyskw- @kmi ygku ikfnlmfh afyskw fmi kyukmpdsud- Z0 afsjuQ


i3{

iy3* 9

i{

iy* 63{ 1 7elu 3y-

Z7 afsjuQ

'f+ @kmi ygd frrslwkafyd pfhtdu l` { ~gdm y 1 mς fmi ~gdm y 1

m *

6

3

ς( ~gdsd m ku f hfsndrlukykpd kmydnds- Z5 afsjuQ

'c+ Ugl~ ygfy( ~gfydpds ygd kmkykfh elmikyklmu( ygd hkakykmn ulhtyklm fu y ↓∝ af{ cd dwrsduudi kmygd `lsa

{ 1 j ukm'3y * ζ+(

~gdsd j ku f rlukykpd kmydnds fmi ζ fm fetyd fmnhd ~gkeg fsd yl cd idydsakmdi- Z9 afsjuQ

62




UYRA 3224

6- skyd il~m ygd mdnfyklm( ygd elmpdsud fmi ygd elmysfrlukykpd l` ygd `lhhl~kmn karhkefyklm

K` f 1 2 fmi c 1 2( ygdm fc 1 2

^gkeg l` {lts fmu~dsu ku dvtkpfhdmy yl ygd nkpdm karhkefyklm< Z9 afsjuQ

3- Ygd `tmeyklm ` ku idstmdi c{

` 1

w3 ∓ 6( w ≩ 6(

j'w * 6+( w = 6-

'f+ K` ` ku elmykmtltu( stmi ygd pfhtd l` j- Z3 afsjuQ

'c+ Idydsakmd( `ls ygku pfhtd l` j( ~gdygds ` ku ikfldsdmykfchd fy w 1 6- Z5 afsjuQ

5- @kmi ygd ndmdsfh ulhtyklm l` dfeg l` ygd `lhhl~kmn sdetssdmed sdhfyklmu-

'f+ ts*6 1 ζts * γ 3s( ~gdsd ζ fmi γ fsd fsckysfs{ elmuyfmyu fmi ζ 1 3- Z5 afsjuQ

'c+ ts*6 1 3ts * ε 3s( ~gdsd ε ku fm fsckysfs{ elmuyfmy- Z5 afsjuQ

9- F ikfldsdmykfh dvtfyklm gfu { 1 d5w fmi { 1 wd5w fu ulhtyklmu-

'f+ @kmi ygd ikfldsdmykfh dvtfyklm- Z3 afsjuQ

'c+ skyd il~m ygd ndmdsfh ulhtyklm l` ygd ikfldsdmykfh dvtfyklm fmi idydsakmd ygd rfsykethfs ulhtyklm

ufyku`{kmn ygd kmkykfh elmikyklmu { 1 6 fmii{

iw1 2 ~gdm w 1 2- Z9 afsjuQ

4- F eksethfs ikue ku rfsykyklmdi kmyl m dvtfh udeylsu- Dfeg udeyls ku yl cd elhltsdi ~kyg lmd l` ygd `ltsikfldsdmy elhltsu rslpkidi fmi ml y~l fiofedmy udeylsu fsd yl cd l` ygd ufad elhlts- K` fm ku ygdmtacds l` ~f{u yl elhlts ygd ikue ~kyg m udeylsu( stmi f3( f5 fmi f9- Z5 afsjuQ

Nkpdm ygfy fm 1 3fm∓6 * 5fm∓3( ~gdsd m ≤ 9( stmi fm dwrhkeky `lsathf `ls fm- Z9 afsjuQ

0- @kmi ygd Afehftskm dwrfmuklm l` w∟

elu w tr yl ygd ydsa km w5- Uyfyd ygd sfmnd l` pfhtdu l` w `ls~gkeg ygd dwrfmuklm ku pfhki- Z> afsjuQ

>- K` R ku ygd rlkmy lm fm Fsnfmi ikfnsfa sdrsdudmykmn ygd elarhdw mtacds z fmi xz ∓ 3x* xz * 3x 1 4(stmi ygd efsydukfm dvtfyklm l` ygd hletu l` R fmi ujdyeg ygku hletu- Z9 afsjuQ

@kmi ygd rlkmyu lm ygku hletu ~gkeg ufyku`{ ygd dvtfyklm

xzx 1

z ∓ 5

62*

5

62k

-

Z9 afsjuQ

7- Ugl~ ygfy( `ls xwx = 6(

elyg∓6 w 16

3hm

w * 6

w ∓ 6

-

Z9 afsjuQ

K` elyg 3{ 14

9( stmi ygd pfhtd l` elyg {- Z9 afsjuQ

66




;- Ygd afyskw F ku nkpdm c{

F 1

j 6 43 j 77 ∓5 3

-

Idydsakmd fhh pfhtdu l` j `ls ~gkeg ygd dvtfyklm FW 1 C( ~gdsd C ku f 5Þ 6 afyskw( ildu mly gfpdf tmkvtd ulhtyklm- Z5 afsjuQ

@ls dfeg l` ygdud pfhtdu l` j( stmi ygd ulhtyklm( k` fm{( l` ygd dvtfyklm

FW 1

6∓39

-

Z> afsjuQ


w i{iw ∓ 5{ 1 w5-

Z9 afsjuQ

@kmi ygd rfsykethfs ulhtyklm nkpdm ygfy { gfu f akmkata pfhtd ~gdm w 1 6- Z5 afsjuQ

Ujdyeg ygd nsfrg l` ygku rfsykethfs ulhtyklm- Z5 afsjuQ

66- F etspd gfu dvtfyklm { 1 6∓ hmyfmg6

3w( ~gdsd w = 2-

'f+ Ugl~ ygfy( `ls ygku etspd( { = 6- Z3 afsjuQ

'c+ Ugl~ ygfyi{

iw

1

∓eludeg w- Z5 afsjuQ

'e+ Ujdyeg ygd etspd- Z3 afsjuQ

'i+ Ugl~ ygfy ygd hdmnyg l` ygd etspd cdy~ddm ygd rlkmyu ~gdsd w 1 6 fmi w 1 9 ku hm'd0 * d9 * d3 *6+ ∓ 5- Z0 afsjuQ

63- Rslpd id Alkpsd‛u ygdlsda `ls rlukykpd kmydnds dwrlmdmyu- Z4 afsjuQ

Tukmn id Alkpsd ygdlsda( ugl~ ygfy

ukm4η 1 f ukm4 η * c elu3 ukm5 η * e elu9 η ukm η

~gdsd f( c fmi e fsd kmydndsu yl cd idydsakmdi- Dwrsduuukm4η

ukm ηkm ydsau l` elu η( ~gdsd η ku mly f

athykrhd l` ς- Z4 afsjuQGdmed( stmi ygd sllyu l` ygd dvtfyklm 60w9 ∓ 63w3 * 6 1 2 km ysknlmladyske `lsa- Idited ygd pfhtd

l` elu3ς

4

* elu3

3ς

4

- Z0 afsjuQ

63




UYRA 3220

6- Ygd afyskw A ku nkpdm c{

A 1 ∓5 6 3

∓0 3 5

2 3 6 -

C{ tukmn Ef{hd{ Gfakhylm ygdlsda( ugl~ ygfy

A∓6 16

0'>K ∓A3+(

~gdsd K ku ygd 5 Þ 5 kidmyky{ afyskw- Z9 afsjuQ

3- Rslpd ygfy

yfmg∓6 w * yfmg∓6 { 1 yfmg∓6

w * {

6 * w{

-

Z3 afsjuQ

Gdmed( ulhpd ygd dvtfyklmyfmg∓6 5w * yfmg∓6 w 1 yfmg∓6

7

65-

Z5 afsjuQ

5- Hdy F 1 zf( f * i( f * 3iq fmi C 1 zf(fs(fs3q( ~kyg f 1 2( i 1 2 fmi s 1 6- Ugl~ ygfy F 1 C k`

fmi lmh{ k` s 1 ∓6

3fmi i 1 ∓5

9f- Z> afsjuQ

9- Elmukids ygd u{uyda l` dvtfyklmu

w * { * rz 1 v(

5w ∓ { ∓ 3z 1 6(0w * 3{ * z 1 9(

`ls ygd y~l efudu? r 1 3( v 1 6 fmi r 1 6( v 1 3-

@ls dfeg efud( stmi ygd tmkvtd ulhtyklm k` ky dwkuyu ls idydsakmd ygd elmukuydme{ l` ygd u{uyda k` ygdsdku ml tmkvtd ulhtyklm- Z> afsjuQ

4- @kmi ygd ilafkm fmi ygd sfmnd l` ygd `tmeyklm ` idstmdi c{

` 'w+ 1 ukm∓63'w ∓ 6+

w * 6-

Z9 afsjuQ

Ujdyeg ygd nsfrg l` ` - Z5 afsjuQ

0- Ugl~ ygfy 62

w ∓ 6∟ w3 * 3w * 5

iw 1∟

0 ∓∟

5 ∓ 3 hm

3 *

∟ 0

6 *∟

5

-

Z> afsjuQ

>- K` { 1 dw elu w( rslpd c{ afygdafykefh kmiteyklm ygfy

im{

iwm1 3

6

3mdww *

6

9mς (

`ls dpds{ rlukykpd kmydnds m- Z7 afsjuQ

65




7- Idydsakmd ygd mtacds l` slly'u+ l` ygd dvtfyklm w ∓ yfmg fw 1 2 `ls dfeg l` ygd `lhhl~kmn efudu-

'f+ f 8 6

'c+ f 1 6

'e+ f = 6

Z7 afsjuQ

;- Hdy fm cd ygd mtacds l` ~f{u '~gdsd ygd lsids ku uknmkstefmy+ ygd mfytsfh mtacds m efm cd ~skyydmfu f uta l` h‛u( 3‛u ls clyg- @kmi f6( f3( f5 fmi f9- Z3 afsjuQ

Dwrhfkm ~g{ ygd sdetssdmed sdhfyklm `ls fm( km ydsau l` fm∓6 fmi fm∓3 ku

fm 1 fm∓6 * fm∓3( m = 3-

Z3 afsjuQ

@kmi fm dwrhkeky `lsathf `ls fm- Z0 afsjuQ

62- Tukmn ygd utcuykytyklm w 1 z6

3 ( ysfmu`lsa ygd ikfldsdmykfh dvtfyklm

i3{

iw3*

9w ∓ 6

w

i{

iw* 9w3{ 1 2

kmyl lmd sdhfykmn { fmi z- Z4 afsjuQ

Gdmed( stmi { km ydsau l` w nkpdm ygfy { 1 3 fmii{

iw1 ∓3 ~gdm w 1 6- Z4 afsjuQ

Uyfyd ygd hkakykmn pfhtd l` { fu w ↓∝- Z6 afsjuQ

66- Hdy zh 1 6( z3 1 w * k{( z5 1 { * kw( ~gdsd w( { ∇ S( w = 2 fmi k 1 ∟ ∓6- K` z6( z3( - - -( zm ku fndladyske rslnsduuklm(

'f+ stmi w fmi {( Z5 afsjuQ

'c+ dwrsduu z3 fmi z5 km ygd rlhfs `lsa( Z3 afsjuQ

'e+ stmi ygd uafhhduy rlukykpd kmydnds m uteg ygfy z6 * z3 * - - - * zm 1 2( Z4 afsjuQ

'i+ stmi ygd rslitey z6z3z5 - - - zm( `ls ygd pfhtd l` m km 'e+- Z5 afsjuQ

63- Idskpd ygd Yf{hls udskdu `ls dw dwrfmidi fy w 1 2 fmi ugl~ ygfy 3 8 d 8 5- Z0 afsjuQ

^skyd ygd fclpd udskdu tr yl ygd ydsa km wm ylndygds ~kyg ygd sdafkmids ydsa- Gdmed( idydsakmd ygduafhhduy kmydnds m yl dmutsd ygfy ygd duykafydi pfhtd l` d ku elssdey yl `lts idekafh rhfedu fmi stmi

ygd duykafydi pfhtd- Z> afsjuQ

69



@TSYGDS AFYGDAFYKEU RFRDS 6 VTDUYKLMU UYRA 322>

UYRA 322>

6- K` z 1 elu η * k ukm η( ugl~ ygfy6

6 * z31

6

3'6∓ k yfm η+ fmi dwrsduu

6

6 ∓ z3km f ukakhfs `lsa-Z9 afsjuQ

3- Ugl~ ygfy

ς9

2

ude w'ude w * yfm w+3 iw 1 6 *∟

3- Z9 afsjuQ

5- Tukmn ygd utcuykytyklm w 1 d3( ugl~ ygfy ygd ikfldsdmykfh dvtfyklm

w3i3{

iw3* rw

i{

iw* v{ 1 2(

~gdsd r fmi v fsd elmuyfmyu( efm cd ysfmu`lsadi kmyl ygd ikfldsdmykfh dvtfyklm

i3{

iz3* s

i{

iz* u{ 1 2(

~gdsd s fmi u fsd elmuyfmyu yl cd idydsakmdi km ydsau l` r fmi v - Z4 afsjuQ

9- Ygd afyskedu F fmi C fsd nkpdm c{

F 1

6 3 5 94 6 6 53 2 7 2∓6 ∓6 5 ;

( C 1

9 3 5 94 9 6 53 2 66 2∓6 ∓6 5 63

-

Nkpdm ygfy

66

66

ku fm dkndmpdeyls l` ygd afyskw F( stmi kyu elssdurlmikmn dkndmpfhtd- Z5 afsjuQ

Gdmed( stmi ygd dkndmpfhtd l` ygd afyskw C elssdurlmikmn yl ygd dkndmpdeyls

6666

- Z5 afsjuQ

4- Ugl~ ygfy

ude∓6 w * elude∓6 w 16

3ς(

~gdsd 2 ≩ ude∓6 w ≩ ς( ude∓6 w 1 6

3ς( ∓6

3ς ≩ elude∓6 w ≩ 6

3ς fmi elude∓6 w 1 2- Z5 afsjuQ

Gdmed( stmi ygd pfhtd l` w uteg ygfy

ude∓6 w elude∓6 w 1 ∓5

3-

Z5 afsjuQ

0- F udvtdmed f2( f6( f3( - - - ku idstmdi c{ f2 1 6 fmi fs*6 1 3fs * c `ls s ≤ 2( ~gdsd c ∇ S-

Dwrsduu fs km ydsau l` s fmi c( fmi pdsk`{ {lts sduthy c{ tukmn afygdafykefh kmiteyklm- Z> afsjuQ

>- Ulhpd ygd sdetssdmed sdhfyklm

fs ∓ fs∓

6 ∓ 0fs∓

3 1 '∓3+

s

(~gdsd f2 1 2 fmi f6 1 3- Z7 afsjuQ

64




7- Elmukids ygd u{uyda l` dvtfyklmu

κw * { * z 1 6(w * κ{ * z 1 κ(w * { * κz 1 κ3(

~gdsd κ ku f elmuyfmy-

'f+ Idydsakmd ygd pfhtdu l` κ `ls ~gkeg ygku u{uyda gfu f tmkvtd ulhtyklm( kmstmkydh{ afm{ ulhtyklmufmi ml ulhtyklm- Z4 afsjuQ

'c+ @kmi ygd tmkvtd ulhtyklm km ydsau l` κ- Z4 afsjuQ

;- Ulhpd ygd ikfldsdmykfh dvtfyklmi{

iw* { ukmg w 1 ukmg w(

nkpdm ygfy { 1 2 ~gdm w 1 2- Z4 afsjuQ

Ugl~ ygfy 2 ≩ { 8 6 `ls fhh sdfh pfhtdu l` w( fmi ujdyeg ygd nsfrg l` ygd ulhtyklm l` ygd ikfldsdmykfhdvtfyklm- Z4 afsjuQ

62- @kmi ygd elmuyfmyu F( C( E fmi I uteg ygfy

d3w * d∓3w ∓ 3dw ∓ 3d∓w ∓ 6 1 F elug3 w * C elug w * E ukmg3 w * I ukmg w-

Z4 afsjuQ

Gdmed( ulhpd ygd dvtfyklmd3w * d∓3w ∓ 3dw ∓ 3d∓w ∓ 6 1 2-

Z4 afsjuQ

66- Ugl~ ygfy ygd Afehftskm udskdu `ls '6 * w+s ku

6 *∝j16

s's ∓ 6+ - - - 's ∓ j * 6+

j&wj(

~gdsd s ku f sfyklmfh mtacds- skyd il~m ygd Afehftskm udskdu `ls '6 * w3+∓6 fmi '6 * w3+∓6

3 -Z7 afsjuQ

Gdmed( stmi ygd Afehftskm udskdu `ls yfm∓6 w fmi ukmg∓6 w- Z4 afsjuQ

Ugl~ ygfy hkaw↓2

w ∓ yfm∓6 w

w3 ukmg∓6 w1

6

5- Z3 afsjuQ

63- @kmi ygd sllyu l` ygd dvtfyklm 'z ∓ kζ+5 1 k5( ~gdsd ζ ku f sdfh elmuyfmy- Z5 afsjuQ

'f+ Ugl~ ygfy ygd rlkmyu sdrsdudmykmn ygd sllyu l` ygd fclpd dvtfyklm `lsa fm dvtkhfydsfh yskfmnhd-Z3 afsjuQ

'c+ Ulhpd ygd dvtfyklm Zz ∓ '6 * k+Q5 1 '3k+5- Z4 afsjuQ

'e+ K` ϋ ku f slly l` ygd dvtfyklm fw3 * cw * e 1 2( ~gdsd f(c(e ∇ S fmi f 1 2( ugl~ ygfy kyuelmotnfyd ϋ∞ ku fhul f slly l` ygku dvtfyklm- Gdmed( lcyfkm f rlh{mlakfh dvtfyklm l` idnsdd ukw~kyg ygsdd l` kyu sllyu fhul ygd sllyu l` ygd dvtfyklm 'z ∓ k+5 1 k5- Z4 afsjuQ

60




'f+ Dwrsduu pm*6 km ydsau l` pm( Z5 afsjuQ

'c+ Ugl~ ygfy em*6 1 2-;;em * 2-223( fmi ulhpd ygku sdetssdmed sdhfyklm- Z7 afsjuQ

'e+ ^gfy ku ygd elmedmysfyklm l` ygd ellhfmy fu m cdeladu pds{ hfsnd< Z6 afsjuQ

62- @kmi ygd ulhtyklm l` ygd ikfldsdmykfh dvtfyklm

5i3{

iw3∓ 3

i{

iw∓ { 1 9d∓

6

5w ∓ w3 * 39

`ls ~gkeg { 1 2 fmii{

iw1 6 fy w 1 2- Z63 afsjuQ

66- F etspd ku idstmdi c{ w 1 elu η'6 * elu η+ ( { 1 ukm η'6 * elu η+-

'f+ Ugl~ ygfy

iw

iη3

*i{

iη3

1 3'6 * elu η+-

Z9 afsjuQ

'c+ Efhethfyd ygd hdmnyg l` ygd fse l` ygd etspd cdy~ddm ygd rlkmyu ~gdsd η 1 2 fmi η 1 ς-Z4 afsjuQ

'e+ Efhethfyd ygd uts`fed fsdf ndmdsfydi ~gdm ygd fse ku slyfydi elarhdydh{ fclty ygd w!fwku-Z9 afsjuQ

63- @kmi ygd dkndmpfhtdu l` ygd afyskw F nkpdm c{

F 1

9 9 5∓6 ∓6 ∓6∓9 ∓9 ∓5

fmi fm dkndmpdeyls elssdurlmikmn yl dfeg dkndmpfhtd- Z7 afsjuQ

^skyd il~m f afyskw R fmi f ikfnlmfh afyskw I uteg ygfy F 1 RIR∓6- Z3 afsjuQ

Gdmed( ugl~ ygfy Fm 1 F ~gdm m ku fm lii rlukykpd kmydnds( fmi stmi Fm ~gdm m ku fm dpdm rlukykpdkmydnds- Z0 afsjuQ

67



@TSYGDS AFYGDAFYKEU RFRDS 6 VTDUYKLMU UYRA 322;

UYRA 322;

6- Rslpd ygfy( k` w = j( ygdm w5 ∓ jw3 * fw∓ fj = 2 `ls dpds{ sdfh mtacds f = 2- Z3 afsjuQ

^skyd il~m ygd elmpdsud fmi elmysfrlukykpd l` ygd fclpd uyfydadmy- Z3 afsjuQ

3- Ygd sdfh afyskw F ku nkpdm c{

F 1

f 2 ∓f

2 c 2∓e 2 e

-

~gdsd 2 8 f 8 c 8 e- Ugl~ ygfy fhh ygd dkndmpfhtdu l` afyskw F fsd ikuykmey- Z9 afsjuQ

5- Ulhpd ygd sdetssdmed sdhfyklm tm*6 1 5tm * 6( ~gdsd m ≤ 6 fmi t6 1 5- Z4 afsjuQ

9- Hdy f 1 f'3y * ukmg3y+ fmi { 1 c yfmg y( ~gdsd f ( c = 2 fsd elmuyfmyu fmi y ∇ S- Ugl~ ygfy

2 8

i{

iw ≩c

9f - Z4 afsjuQ

4- Ugl~ ygfy yfmg∓6 w 16

3hm

6 * w

6∓ w

`ls xwx 8 6- Z9 afsjuQ

Gdmed( ulhpd ygd dvtfyklm

3yfmg∓6

5

w

1 hm w-

~gdsd w = 2- Z5 afsjuQ

0- K` yfm { 1w

6 * w( ~gdsd ∓ς

98 { 8

ς

9( dwrfmi { km fuedmikmn rl~dsu l` 'w ∓ 6+ tr yl ygd ydsa km

'w ∓ 6+3- Z4 afsjuQ

Gdmed( stmi ygd frrslwkafyd pfhtd l` yfm∓6

6

3

∓ yfm∓6

6

5

- Z3 afsjuQ

>- Ygd afyskw F ku nkpdm c{

F 1

6 6 e

6 3 56 e 6

fmi C ku f 5 Þ 6 afyskw-

'f+ @kmi ygd pfhtdu l` e `ls ~gkeg ygd dvtfyklm FW 1 C ildu mly gfpd f tmkvtd ulhtyklm- Z5 afsjuQ

'c+ @ls dfeg pfhtd l` e( stmi ygd ulhtyklmu( k` fm{( l` ygd dvtfyklm

FW 1

6∓5∓66

-

Z4 afsjuQ

7- 'f+ Ugl~ ygfy ukm'w * k{+ 1 ukm w elug { * k elu w ukmg {( mmi gdmed( stmi ygd pfhtdu l` w fmi { k` ygd

kafnkmfs{ rfsy l` ukm'w * k{+ ku zdsl( ~gdsd w ≤ 2 fmi { ≩ ς

3- Z9 afsjuQ

'c+ @kmi ygd sllyu l` ϋ9 1 ∓60k( fmi ujdyeg ygd sllyu lm fm Fsnfmi ikfnsfa- Z4 afsjuQ

6;




;- F etspd gfu rfsfadyske dvtfyklmu

w 1 y * hm x ukmg yx fmi { 1 eludeg y(

~gdsd y

1 2-

'f+ @kmii{

iw- Z5 afsjuQ

'c+ Ugl~ ygfyi3{

iw31 ∓d∓3y'elug y * eludeg y+- Z3 afsjuQ

'e+ Ugl~ ygfy ygd etspd gfu f rlkmy l` kmffidwklm ~gdsd y 16

3hm'∟

4∓ 3+- Z4 afsjuQ

62- Tukmn ygd utcuykytyklm z 16

{( ugl~ ygfy ygd ikfldsdmykfh dvtfyklm

i{

iw ∓3{

w1 {3

af{ cd sditedi yliz

iw*

3z

w1 ∓6-

Z3 afsjuQ

Gdmed( stmi ygd rfsykethfs ulhtyklm { km ydsau l` w `ls ygd ikfldsdmykfh dvtfyklm nkpdm ygfy { 1 5 ~gdmw 1 6- Z0 afsjuQ

Ujdyeg ygd nsfrg {- Z5 afsjuQ

66- @kmi ygd pfhtdu l` r fmi v ul ygfy ∓6( ∓6 fmi 3 fsd ygd egfsfeydskuyke sllyu l` ygd sdetssdmed sdhfyklmfm * rfm∓3 * vfm∓5 1 2- Z5 afsjuQ

Tukmn ygd pfhtdu l` r fmi v ( ulhpd ygd sdetssdmed sdhfyklm

fm * rfm∓3 * vfm∓5 1 ∓6 *

cm*6(

~gdsd m ≤ 5( f2 16

9( f6 1

5

3( f3 1

64

9( fmi ca ufykustdu ygd sdhfyklm

ca*6 1

a * 6

a

3ca(

~gdsd a ≤ 6 fmi c6 1 ;- Z66 afsjuQ

63- K` w'y+ fmi {'y+ fsd pfskfchdu ufyku`{kmn ygd ikfldsdmykfh dvtfyklmu

i{

iy* 3

iw

iy1 3w * 4 fmi

i{

iy∓ iw

iy1 3{ * y-

'f+ ugl~ ygfy 5i3{

iy3∓ 0

i{

iy* 9{ 1 3∓ 3y- Z9 afsjuQ

'c+ stmi ygd ulhtyklm w km ydsau l` y `ls ygd udelmi lsids l` ikfldsdmykfh dvtfyklm nkpdm ygfy {'2+ 1{'2+ 1 ς- Z63 afsjuQ

32




UYRA 3262

6- @kmi ygd elmysfrlukykpd( elmpdsud( kmpdsud fmi mdnfyklm l` ygd vtfmykstds rslrlukyklm

∂w

∇S( k` w'w * 6+ = 2( ygdm w = 2 ls w 8

∓6-

Z9 afsjuQ

3- Tukmn afygdafykefh kmiteyklm( ugl~ ygfy 33m∓ 6 ku f athykrhd l` 5 `ls fhh rlukykpd kmydndsu m-Z9 afsjuQ

5- Ulhpd ygd sdetssdmed sdhfyklmu

'f+ fm 1 33mfm∓6( ~gdsd f2 1 6( Z5 afsjuQ

'c+ fm 1 fm∓6 * 5m∓6 * 3( ~gdsd f2 1 2- Z5 afsjuQ

9- Ugl~ ygfy

yfm∓6

6w ∓ 6

∓ yfm∓6

6w

1 ely∓6'w3 ∓ w * 6+( w = 6-

Z5 afsjuQ

Gdmed( stmi ygd pfhtd l` w uteg ygfy

yfm∓6

6

w ∓ 6

1 yfm∓6

6

w

* yfm∓6

6

w * 6

-

Z5 afsjuQ

ZYgd rskmekrfh pfhtdu l` dfeg fmnhd fsd yl cd elmukidsdi-Q

4- Nkpdm ygfy { 1 w ∓ elu∓6

w( ~gdsd ∓6 8 w 8 6-

'f+ Ugl~ ygfyi3{

iw31 w

i{

iw∓ 6

5- Z3 afsjuQ

'c+ @kmi ygd Afehftskm udskdu `ls { km fuedmikmn rl~dsu l` w tr yl ygd ydsa km w4- Z4 afsjuQ

0- Ygd ikfldsdmykfh dvtfyklm

SiV

iy*

V

E 1 P

idueskcdu ygd egfsnd V lm f efrfekyls l` efrfekyfmed E itskmn f egfsnkmn rsleduu kmplhpkmn f sdukuyfmedS fmi dhdeyslalykpd `lsed P -

'f+ Nkpdm ygfy V 1 2 ~gdm y 1 2( dwrsduu V fu f `tmeyklm l` y- Z4 afsjuQ

'c+ ^gfy gfrrdmu yl V lpds f hlmn rdskli l` ykad ~gdm S 1 62℠( P 1 4 P fmi E1 3 @< Z3 afsjuQ

>- @kmi ygd dkndmpfhtdu fmi dkndmpdeylsu l` ygd afyskw

6 2 9

2 3 25 6 ∓5

- Z7 afsjuQ

7- F etspd ku idstmdi rfsfadyskefhh{ c{

w 1 3 eludeg5 y( { 1 5elyg3 y-

'f+ Ugl~ ygfy

iwiy

3*

i{iy

31 50 eludeg9 y elyg9 y- Z4 afsjuQ

36




'c+ Ygd rlkmyu F fmi C km ygd etspd fsd idstmdi c{ y 1 hm3 fmi y 1 hm 5 sdurdeykpdh{- Ugl~ ygfy

ygd hdmnyg l` ygd fse FC ku9034

709- Z5 afsjuQ

;- Ugl~ ygfyelyg∓6 w 1

6

3hm

w * 6

w ∓ 6

(

~gdsd xwx = 6- Z5 afsjuQ

Gdmed( ulhpd ygd dvtfyklm elyg∓6

6 * {

{

* elyg∓6

{

6∓ {

1

6

3hm 3{- Z0 afsjuQ

62- F rfsykehd alpdu km f glskzlmyfh uysfkngy hkmd- Ygd ikurhfedadmy fs l` ygd rfsykehd `sla f stwdi rlkmyfy ygd s!yg udelmi 's ≤ 3+ ufykustdu ygd sdetssdmed sdhfyklm

fs 1 ;fs∓3 * cs(

~gdsdcs 1 cs∓6 * 0cs∓3(

~kyg f2 1 2( f6 1 9( c2 1 2( fmi c6 1 62-

'f+ Ugl~ ygfy cs 1 3'5s+ * '∓3+s*6- Z9 afsjuQ

'c+ @kmi fs km ydsau l` s- Z7 afsjuQ

66- @kmi ygd ndmdsfh ulhtyklm l` ygd stsuy lsids ikfldsdmykfh dvtfyklm

i{

iw* 4{ 1 ukmg 3w * 3w-

Z0 afsjuQ

Gdmed( ulhpd ygd udelmi lsids ikfldsdmykfh dvtfyklm

i3{

iw3* 4

i{

iw1 9 elug3 w(

nkpdm ygfy w 1 2( { 1 6 fmii{

iw1 5- Z> afsjuQ

63- 'f+ @kmi ygd st`yg sllyu l` tmky{ km ygd `lsa elu η * k ukm η( ~gdsd ∓ς 8 η ≩ ς- Z9 afsjuQ

'c+ C{ ~skykmn ygd dvtfyklm 'z

∓3k+4 1 'z * 3k+4 km ygd `lsa

z ∓ 3k

z * 3k4

1 6( ugl~ ygfy kyu sllyu

fsd ¶3elyς

4

fmi ¶3ely

3ς

4

- Z> afsjuQ

Gdmed( stmi ygd pfhtdu l` ely3ς

4

* ely3

3ς

4

fmi ely3

ς

4

ely3

3ς

4

- Z4 afsjuQ

33




UYRA 3266

6- Rslpd c{ elmysfikeyklm ygfy ygd uta l` f sfyklmfh mtacds fmi fm kssfyklmfh mtacds ku fm kssfyklmfhmtacds- Z5 afsjuQ

3- Hdy rm cd ygd rsduutsd ~kygkm fm dmehludi elmyfkmds lm if{ m- Ygd rsduutsd lm if{ m * 6 ku5

m * 5 rm

hduu ygfm ygfy lm if{ m- Ugl~ ygfy rm 10

m'm * 6+'m * 3+ r6- Z9 afsjuQ

5- Ugl~ ygfy elu'ukm∓6 w+ 1

6 ∓ w3( `ls xwx ≩ 6( fmi gdmed( stmi ygd dwfey pfhtd l`

yfm

ukm∓6

3∟

3

5

-

Z9 afsjuQ

9- Nkpdm ygfy K m 1

d6

'hm w+m iw- Ugl~ ygfy K m * mK m∓6 1 d `ls m ≤ 6( fmi gdmed( dpfhtfyd

d6

'hm w+9 iw-

Z0 afsjuQ

4- F elarhdw mtacds z ufykustdu ygd kmdvtfhky{ xz ∓∟

5∓ kx ≩ 6-

'f+ Ujdyeg( lm fm Fsnfmi ikfnsfa( yl ugl~ ygd sdnklm idstmdi c{ ygd kmdvtfhky{- Z5 afsjuQ

'c+ Idydsakmd ygd sfmnd l` ygd pfhtdu l` xzx- Z3 afsjuQ

'e+ Idydsakmd ygd sfmnd l` ygd pfhtdu l` fsn z- Z3 afsjuQ

0- @kmi f udelmi lsids Yf{hls rlh{mlakfh `ls∟

6 * w fclty w 1 39- Z9 afsjuQ

Gdmed( stmi fm frrslwkafyd pfhtd l` ∟

30( fmi duykafyd ygd ukzd l` ygd dssls- Z5 afsjuQ

>- Ygd elarhdadmyfs{ `tmeyklm l` ygd ikfldsdmykfh dvtfyklm

i3{

iw3* r

i{

iw* 65{ 1 dw elu w

ku { 1 d5w'F elu sw * C ukm sw+-

'f+ Idydsakmd ygd pfhtdu l` r fmi s- Z5 afsjuQ

'c+ @kmi ygd ndmdsfh ulhtyklm l` ygd ikfldsdmykfh dvtfyklm- Z4 afsjuQ

7- Elmuystey f ystyg yfchd yl ugl~ ygfy ∸ ' r ↓ v + ≦ r ∮ '∸ v +- Z9 afsjuQ

^skyd fm dvtkpfhdmy `lsa `ls ∸ '∂w( r'w+ ↓ v 'w++- Gdmed( ugl~ ygd hlnkefh uydr `ls f uyfydadmy yl cddvtkpfhdmy yl

‘Ky ku mly ystd ygfy `ls dpds{ gly if{( ky sfkmu-‑

Z4 afsjuQ

35




;- Ygd fse l` f etspd { 1 hm w `sla w 1 6 yl w 1 7 ku sdplhpdi fclty ygd {!fwku ygsltng 3ς sfikfm-

'f+ Ugl~ ygfy ygd uts`fed fsdf l` sdplhtyklm ku nkpdm c{

U 1 3ς 76

6 * r

3

ir(

~gdsd r 1 d{ - Z5 afsjuQ

'c+ Tukmn ygd utcuykytyklm r 1 ukmg η( ugl~ ygfy

U 1 ς

7∟

04∓∟

3 * hm

7 *

∟ 04

6 *∟

3

-

Z> afsjuQ

62- Ugl~ ygfy6 * elu 3η * k ukm3η

6∓ elu3η ∓ k ukm3η

1 k ely η- Z3 afsjuQ

Gdmed( ugl~ ygfy ygd sllyu l` ygd dvtfyklm 'z * k+4 1 'z∓ k+4 fsd ¶ elyς

4

fmi ¶ ely

3ς

4

-Z0 afsjuQ

Idited ygd pfhtdu l` ely3ς

4

* ely3

3ς

4

fmi ely3

ς

4

ely3

3ς

4

- Z9 afsjuQ

66- F uvtfsd afyskw F gfu fm dkndmpfhtd κ ~kyg elssdurlmikmn dkndmpdeyls p- Ugl~ ygfy κ * e ku fmdkndmpfhtd l` F * eK( ~gdsd e ∇ S fmi K ku kidmyky{ afyskw- Ugl~ ygfy p ku fhul fm dkndmpdeyls l` F * eK elssdurlmikmn yl κ * e- Z5 afsjuQ

Idydsakmd ygd pfhtdu l` j ul ygfy ygd dkndmpfhtdu l` ygd afyskw

R 1∓6 2 3

2 j 2∓4 2 0

(

~gdsd j ∇ S fsd fhh ikuykmey- @kmi ygd dkndmpfhtdu fmi ygd dkndmpdeylsu l` R `ls j 1 6- Z7 afsjuQ

Gdmed( stmi ygd dkndmpfhtdu fmi dkndmpdeylsu l` ygd afyskw V 1

3 2 3

2 9 2∓4 2 ;

- Z9 afsjuQ

63- Tukmn ygd idstmkyklmu l` ukmg w fmi elug w(

'f+ ugl~ ygfy

k- ukmg'w ∓ {+ 1 ukmg w elug { ∓ elug w ukmg {(Z5 afsjuQ

kk- yfmg'm * 6+w ∓ yfmg mw 1 ukmg w udeg'm * 6+w udeg mw- Z5 afsjuQ

'c+ Nkpdm ygfy U s 1

sm16

udeg'm * 6+wudegmw- Ugl~ ygfy

k- k` w 1 2( ygdm U s 1 3 eludeg3w ukmg sw udeg's * 6+w( Z4 afsjuQ

kk- k` w = 2 fmi s ku pds{ hfsnd( ygdm U s ≇ 3d∓w eludeg 3w- Z9 afsjuQ

39



@TSYGDS AFYGDAFYKEU RFRDS 3 VTDUYKLMU

3 RFRDS 3 VTDUYKLMU

34




UYRA 3223

6- Uyfyd ygd sdhfyklmugkr cdy~ddm ygd uta l` idnsdd l` pdsykedu fmi ygd mtacds l` dindu km f ukarhdnsfrg- Idited ygfy f ukarhd nsfrg ~kyg stpd pdsykedu l` idnsdd 6( 6( 3( 5( 9 ku karluukchd- Z9 afsjuQ

3- Nkpdm ygfy rlkmyu L( R ( fmi V mlm!elhkmdfs( S hkdu lm ygd hkmd R V- Rlukyklm pdeyls l` R ( V( fmi Ssdurdey yl L fsd r( v( fmi s sdurdeykpdh{- Ugl~ ygfy s 1 ´r * '6 ∓ ´+v( ~gdsd ´ ku f sdfh mtacds-

Z3 afsjuQ

K` S ku ygd rdsrdmikethfs `lly `lsa L yl R V( ugl~ ygfy

s 1xvx3 ∓ r ¾ v

xr ∓ vx3 r *xrx3 ∓ r ¾ v

xr ∓ vx3 v-

Z9 afsjuQ

5- Rslpd ygfy ygd rhfmdu fw * c{ * ez 1 i fmi fw * c{ * ez 1 i fsd rfsfhhdh k` fmi lmh{ k` f ? c ? e 1 f ?c ? e- @kmi ygd dvtfyklm l` ygd rhfmd ς ygfy ku rfsfhhdh yl ygd rhfmd 5w * 3{

∓4z 1 3 fmi elmyfkmu

ygd rlkmy '!6( 6( 5+- Z4 afsjuQ

@kmi ygd rdsrdmikethfs ikuyfmed cdy~ddm ygd rhfm ς fmi ygd rhfmd 5w * 3{ ∓ 4z 1 3- Z3 afsjuQ

9- Isf~ f elmmdeydi nsfrg ~kyg dkngy pdsykedu( ~kyg ml idnsdd 6( k` ygd nsfrg ku

'f+ Dthdskfm fmi Gfakhylmkfm( Z3 afsjuQ

'c+ mly Dthdskfm cty Gfakhylmkfm( Z3 afsjuQ

'e+ Dthdskfm cty mly Gfakhylmkfm( Z3 afsjuQ

'i+ mly Dthdskfm fmi mly Gfakhylmkfm- Z3 afsjuQ

4- Ysfmu`lsafyklm R ku idstmdi c{

R ?

w{

↓

6 62 ∓6

w{

'f+ @kmi ygd kmpfskfmy hkmd ygfy rfuudu ygsltng lsknkm tmids ysfmu`lsafyklm R - Z0 afsjuQ

'c+ @kmi ygd fsdf l` ygd kafnd l` yskfmnhd FCE ~kyg rlkmyu F'2(∓3+( C'5( 2+( fmi E '6( 9+ tmidsygd ysfmu`lsafyklm R - Z5 afsjuQ

0- Hdy m ∇ M fmi m ≤ 3-

'f+ K` m 1 0j * 6 ls m 1 0j * 4( ~kyg j kmydnds( rslpd ygfy 3m * m3 ≦ 2'ali 5+- Z; afsjuQ

'c+ K` 3m * m3 ku f rskad mtacds( rslpd ygfy m

≦5'ali 0+- Z9 afsjuQ

>- Elmykmtltu sfmila pfskfchd _ ku uyfmifsi mlsafh sfmila pfskfchd- Uyfyd ygd dwfey mfad l` ygdikuyskctyklm _ 3( fmi uyfyd ygd adfm fmi pfskfmed- Z5 afsjuQ

7- F utspd{ efsskdi lty km fm fsdf yl duykafyd ygd rslrlsyklm l` rdlrhd ~gl gfpd alsd ygfm lmd gltud-Ygku rslrlsyklm ku duykafydi tukmn ;4$ elmstidmed kmydspfh- K` ygd duykafydi rslrlsyklm ku 2-54(idydsakmd ygd uafhhduy ufarhd ukzd sdvtksdi ul ygfy duykafyklm dssls iki mly dweddi 2-25 fmi iditedygd uafhhduy ufarhd ukzd sdvtksdi ul ygfy ygd duykafyklm dssls iki mly dweddi 2-26- Z> afsjuQ

;- F sfmila ufarhd l` 63 sfmilah{ udhdeydi frrhdu `sla f clw l` frrhdu- Ygd afuu l` frrhdu( km n( ku

utaafskzdi c{

w 1 ;40-3 fmi

w3

1 766>4-73- @kmi f ;4$ elmstidmed kmydspfh `ls ygd adfmafuu l` frrhdu km ygd clw- Uyfyd fm{ fuutaryklmu {lt afjd- Z> afsjuQ

30




62- Sfmila pfskfchd W ku mlsafhh{ ikuyskctydi ~kyg adfm ´ fmi pfskfmed 50- Ygd uknmkstefmed yduyurds`lsadi lm ygd mthh g{rlygduku G 2 ? ´ 1 >2 pdsutu ygd fhydsmfykpd g{rlygduku G 6 ? ´ 1 >2 ~kyg frslcfckhky{ l` y{rd K dssls dvtfh yl 2-26- F sfmila ufarhd l` 52 lcudspfyklmu l` W fsd yfjdm fmiufarhd adfm cfsW yfjdm fu ygd yduy uyfykuyke- @kmi ygd sfmnd l` ygd yduy uyfykuyke hkdu km ygd eskykefh

sdnklm- Z7 afsjuQ

66- Uyfyd elaalm elmikyklmu frrh{ yl ygd ikuyskctyklm l` yduy uyfykuykeu km ygd yduy l` nllimduu l` sty( ώ3kufrrslwkafydi yl ώ3 ikuyskctyklm- Z3 afsjuQ

F uyti{ ~fu elmiteydi km f `feyls{ lm ygd mtacds l` feekidmyu ygfy gfrrdm lm 622 `feyls{ ~lsjdsukm f rdskli l` ykad- Ygd `lhhl~kmn ifyf ~dsd lcyfkmdi-

Mtacds l` feekidmy 2 6 3 5 9 4Mtacds l` ~lsjdsu 34 56 35 65 4 5

Yduy( fy 6$ uknmkstefmy hdpdh( ~gdygds ygd ifyf fclpd ku f ufarhd `sla ygd Rlkuulm ikuyskctyklm ~kygrfsfadyds 6-4- Z62 afsjuQ

63- Dwrhfkm ygd hdfuy uvtfsdu adygli yl lcyfkm dvtfyklm l` sdnsduuklm hkmd( tukmn ikfnsfa- Z5 afsjuQ

@kpd rfksu l` pfhtd l` pfskfchd w fmi { fsd nkpdm c{

w 52 92 42 02 >2{ ;2 79 73 >> 07

'f+ Lcyfkm ygd dvtfyklm l` ygd hdfuy uvtfsdu sdnsduuklm hkmd l` { lm w km ygd `lsa { 1 f * cw( c{nkpkmn ygd pfhtdu l` f fmi c elssdey yl lmd idekafh rhfedu- Z> afsjuQ

'c+ ^gdm ygd ukwyg rfks 'w0( {0+ ku elackmdi ~kyg ygd stpd rfksu l` pfhtdu fclpd( ygd dvtfyklm l` ygd

hdfuy uvtfsdu sdnsduuklm hkmd l` { lm w `sla ygd ukw rfksu l` pfhtdu ku { 1 624∓

6

3w- @kmi w0 fmi

{0- Z0 afsjuQ

3>




UYRA 3225

6- Hdy Y ? S3 ↓ S3 cd f hkmdfs ysfmu`lsafyklm uteg ygfy

Y ? 6

6↓ 3

∓5 ( Y ? 2

6↓ 6

3 -

Ugl~ ygfy

Y ?

fc

↓

f * c∓4f * 3c

-

Z9 afsjuQ

3- Ulhpd ygd rfks l` elmnstdmedu

w ≦ 6 'ali 0+(w ≦ 4 'ali 66+-

Z4 afsjuQ

5- Ygd pdeyls dvtfyklmu l` y~l kmydsudeykmn hkmdu fsd nkpdm c{ s 1 3k * o * κ'k * o * 3j+ fmi s 13k * 3 o ∓ j * ´'k * 3 o * j+-

'f+ Idydsakmd ygd ellsikmfydu l` ygd rlkmy l` kmydsudeyklm l` ygd y~l hkmdu- Z5 afsjuQ

'c+ @kmi ygd fetyd fmnhd cdy~ddm ygd y~l hkmdu- Z9 afsjuQ

9- @kmi ygd nsdfyduy elaalm ikpkuls l` 3426 fmi 36>5 fmi dwrsduu ky km ygd `lsa 3426a * 36>5m( ~gdsda fmi m fsd kmydndsu ~gkeg fsd yl cd idydsakmdi- Z0 afsjuQ

@kmi ygd uafhhduy rlukykpd kmydnds r uteg ygfy ;;>> * r 1 3426w * 36>5{( ~gdsd w fmi { fsd kmydndsu-Z5 afsjuQ

4- Hdy N cd f ukarhd nsfrg ~kyg m pdsykedu fmi a dindu- Rslpd ygfy a ≩ 6

3m'm∓ 6+- Z9 afsjuQ

K` m 1 66 fmi a 1 90( ugl~ ygfy N ku elmmdeydi- Z> afsjuQ

0- Idueskcd ygd ysfmu lsafyklm km ygd w{!rhfmd sdrsdudmydi c{ ygd afyskw∟

4

5

3

53

5∓∟

4

5

-

Z5 afsjuQ

'f+ Ugl~ ygfy ygd dvtfyklm l` ygd kmpfskfmy hkmd ~gkeg elmyfkmu ygd kmpfskfmy rlkmyu ku { 1

5∓∟ 4

3

w(

fmi stmi ygd dvtfyklm l` ygd lygds kmpfskfmy hkmd ~gkeg rfuudu ygsltng ygd lsknkm- Z> afsjuQ

'c+ Ygd rlkmyu R fmi V fsd '3(∓6+ fmi '5( 2+ sdurdeykpdh{- @kmi ygd ellsikmfydu l` ygd rlkmy Y

~gkeg hkdu lm ygd kmpfskfmy hkmd { 1

5 ∓∟ 4

3

w uteg ygfy ygd uta l` ygd ikuyfmed cdy~ddm R

fmi Y fmi ygd ikuyfmed cdy~ddm V fmi Y ku akmkata- Z9 afsjuQ

>- F sfmila ufarhd W 6( W 3( - - - ( W m ku yfjdm `sla f mlsafh rlrthfyklm ~kyg adfm ´ fmi pfskfmed 6-

Idydsakmd ygd uafhhduy ufarhd ukzd ~gkeg ku sdvtksdi ul ygfy ygd rslcfckhky{ ygfy ¬W hkdu ~kygkm 2-3l` ´ ku fy hdfuy 2-;2- Z4 afsjuQ

37




7- Km f egk!uvtfsd yduy( ygd yduy uyfykuyke ku nkpdm c{ ώ3 1

jk16

'Lk ∓D k+3

D k( ~gdsd Lk ku ygd lcudspdi

`sdvtdme{( D k ygd dwrdeydi `sdvtdme{( fmi j = 3- Ugl~ ygfy

jk16

'Lk ∓D k+3

D k1

jk16

L3k

D k∓ M(

~gdsd M 1

jk16

Lk 1

jk16

D k- Z3 afsjuQ

F efs alidh gfu `lts elhltsu? ~gkyd( sdi( chtd( fmi nsddm- @sla f sfmila ufarhd l` 02 efsu l` ygfyalidh km Jtfhf Htarts( 65 fsd ~gkyd( 69 fsd sdi( 60 fsd chtd( fmi 6> fsd nsddm- Yduy( fy ygd 4$uknmkstefmed hdpdh( ~gdygds ygd mtacds l` efsu l` dfeg elhlts l` ygfy alidh km Jtfhf Htarts ku ygdufad- Z4 afsjuQ

;- Dwrhfkm ~gfy f hdfuy uvtfsd sdnsduuklm hkmd adfmu- Z5 afsjuQ

Ygd hk`d 'w ygltufmi gltsu+ fmi egfsnd '{ fardsdu+ l` f y{rd l` cfyyds{ af{ cd sdhfydi c{ ygd hdfuyuvtfsd sdnsduuklm hkmd { 1 >-72∓ 6->3w-

'f+ Idydsakmd( lm ygd fpdsfnd( ygd sditeyklm km ygd egfsnd l` ygd cfyydskdu f`yds ygd{ gfpd cddmtudi `ls 6222 gltsu- Z3 afsjuQ

'c+ @kmi ygd adfm egfsnd l` ygd cfyydskdu f`yds ygd{ gfpd cddm tudi `ls 5222 gltsu- Z3 afsjuQ

62- Ygd adfm fmi uyfmifsi idpkfyklm l` ygd {kdhi l` f y{rd l` sked km Afhf{ukf fsd ;02 jn rds gdeyfsd fmi6;3 jn rds gdeyfsd sdurdeykpdh{- @sla f sfmila ufarhd l` 52 `fsadsu km Jdifg ~gl rhfmy ygku sked(ygd adfm {kdhi l` sked ku ;;0 jn rds gdeyfsd- Yduy( fy ygd 4$ uknmkstefmed hdpdh( ygd g{rlygduku ygfy ygdadfm {kdhi l` sked km Jdifg ku alsd ygfm ygd adfm {kdhi l` sked km Afhf{ukf- Nkpd fm{ fuutaryklmu

ygfy mddi yl cd afid km ygd yduy l` ygku g{rlygduku- Z7 afsjuQ

66- Hdy Rdfsulm‛u elssdhfyklm eldstekdmy cdy~ddm pfskfchdu w fmi { `ls f sfmila ufarhd cd s-

'f+ K` fhh ygd rlkmyu lm ygd uefyyds ikfnsfa hkd lm ygd hkmd { 1 e( ~gdsd e ku f elmuyfmy( elaadmy lmygd pfhtdu l` s- Z3 afsjuQ

'c+ K` fhh ygd rlkmyu lm ygd uefyyds ikfnsfa hkd lm ygd hkmd { 1 f * cw( ~gdsd f fmi c fsd elmuyfmyu

fmi c 1 2( ugl~ ygfy s 1c∟ c3

fmi idited ygd rluukchd pfhtdu l` s- Z0 afsjuQ

63- Lty l` 622 elsm uddiu l` y{rd F ~gkeg fsd rhfmydi km f edsyfkm fsdf( 39 uddiu `fkh yl ndsakmfyd- Lty

l` 42 elsm uddiu l` y{rd C ~gkeg fsd rhfmydi km ygfy fsdf( 9 uddiu `fkh yl ndsakmfyd-

'f+ @kmi f ;2$ elmstidmed kmydspfh `ls ygd rslrlsyklm l` elsm uddiu l` y{rd F ~gkeg `fkh yl ndsakmfydkm ygfy fsdf- Z4 afsjuQ

'c+ C{ elmukidskmn fm frrslrskfyd 3 Þ 3 elmykmndme{ yfchd( yduy( fy ygd 4$ uknmkstefmed hdpdh( ygdg{rlygduku ygfy ygd rslrlsyklmu l` elsm uddiu l` y{rd F fmi l` y{rd C ~gkeg `fkh yl ndsakmfydkm ygfy fsdf fse ygd ufad- Z62 afsjuQ

3;




UYRA 3229

6- skyd il~m fm kmekidmed afyskw `ls ygd nsfrg nkpdm cdhl~- ^gfy efm cd ufki fclty ygd uta l` ygddmyskdu km fm{ sl~ fmi ygd uta l` ygd dmyskdu km fm{ elhtam l` ygku kmekidmed afyskw< Z9 afsjuQ

p6 p3d6

p5p9

p4

d3

d5

d9

d4

d0

3- Ygd uysfkngy hkmd olkmkmn ygd rlkmyu '2( 2( 6+ fmi '6( 2( 2+ kmydsudeyu ygd rhfmd w * { * 3z * 3 1 2- @kmiygd ellsikmfydu l` ygd rlkmy l` kmydsudeyklm- Z4 afsjuQ

5- Idstmd f ukarhd nsfrg - Z6 afsjuQ

Uyfyd ~gdygds ygdsd dwkuyu f ukarhd nsfrg ~kyg

'f+ dkngy pdsykedu l` idnsddu >( >( >( 4( 9( 9( 9( 9:

'c+ stpd pdsykedu l` idnsddu 3( 5( 9( 9( 4-

@ls dfeg efud( elmuystey f ukarhd nsfrg k` ky dwkuyu( ls nkpd f sdfulm k` ygdsd ildu mly dwkuy f ukarhdnsfrg- Z4 afsjuQ

9- Ygd rlkmy R hkdu lm ygd hkmd s 1

6

55

* y

5

97

fmi ygd rlkmy V hkdu lm ygd rhfmd ~glud dvtfyklm ku

s ¾ '5k * 0 o * 3j+ 1 ∓33 uteg ygfy R V ku rdsrdmikethfs yl ygd rhfmd-

'f+ @kmi ygd ellsikmfydu l` R fmi V km ydsau l` y- Z0 afsjuQ

'c+ @kmi ygd pdeyls dvtfyklm l` ygd hletu l` ygd akirlkmy l` R V- Z5 afsjuQ

4- Y ? S3

↓S3 ku f hkmdfs ysfmu`lsafyklm uteg ygfy ygd kafndu l` ygd rlkmyu '6 ( 3+ fmi '

∓6( 2+ fsd ygd

rlkmyu '5(∓3+ fmi '∓6( 2+ sdurdeykpdh{-

'f+ @kmi ygd afyskw ~gkeg sdrsdudmyu Y- Z9 afsjuQ

'c+ @kmi ygd dvtfyklm l` ygd hkmd ~gkeg ku ygd kafnd l` ygd hkmd { 1 aw * e tmids Y- Z0 afsjuQ

0- Idstmd ygd elmnstdmed f ≦ c'ali a+- Z6 afsjuQ

Ulhpd dfeg l` ygd elmnstdmedu w5 ≦ 3'ali 5+ fmi w5 ≦ 3'ali 4+- Idited ygd udy l` rlukykpd kmydndsu~gkeg ufyku`{ clyg ygd elmnstdmedu- Z; afsjuQ

Gdmed( stmi ygd rlukykpd kmydndsu w fmi { ~gkeg ufyku`{ ygd dvtfyklm w5 * 64w{ 1 63643- Z4 afsjuQ

>- Ygd Rdfsulm elssdhfyklm eldstekdmy cdy~ddm y~l pfskfchdu W fmi [ `ls f sfmila ufarhd ku 2-

52




'f+ Uyfyd ~gdygds ygku adfmu ygfy ygdsd ku ml hkmdfs sdhfyklm cdy~ddm W fmi [ - Ujdyeg f uefyydsikfnsfa `ls W fmi [ - Z3 afsjuQ

'c+ Uyfyd ~gdygds ygku adfmu ygfy W fmi [ fsd kmidrdmidmy- Nkpd f sdfulm `ls {lts fmu~ds-Z3 afsjuQ

7- F mlsafh rlrthfyklm gfu adfm ´ fmi pfskfmed υ3-

'f+ Dwrhfkm cskdffi{ ~gfy f ;4$ elmstidmed kmydspfh `ls ´ adfmu- Z3 afsjuQ

'c+ @sla f sfmila ufarhd( ky ku `ltmi ygfy ygd ;4$ elmstidmed kmydspfh `ls ´ ku '∓6-4( 5-7+- Uyfyd~gdygds ky ku ystd ygfy ygd rslcfckhky{ ygfy ´ hkdu km ygd kmydspfh ku 2-;4- Nkpd f sdfulm- Z3 afsjuQ

'e+ F ylyfh l` 632 sfmila ufarhdu l` ukzd 42 fsd yfjdm `sla ygd rlrthfyklm fmi `ls dfeg ufarhd f;4$ elmstidmed kmydspfh `ls ´ ku efhethfydi- @kmi ygd mtacds l` ;4$ elmstidmed kmydspfhu ~gkegfsd dwrdeydi yl elmyfkm ´- Z6 afsjuQ

;- Ygd dvtfyklm l` ygd sdnsduuklm hkmd l` ygd pfskfchd W lm pfskfchd [ ku w 1 ∓3{ * 66- Ygd Rdfsulm

elssdhfyklm eldstekdmy cdy~ddm W fmi [ ku ∓3

∟ 4 - Ygd adfmu l` W fmi [ fsd 4 fmi 5 sdurdeykpdh{-@kmi ygd dvtfyklm l` ygd sdnsduuklm hkmd l` [ lm W - Z0 afsjuQ

62- Km lsids yl kmpduyknfyd ~gdygds ygd hdpdh l` ditefyklm fmi ygd lrkmklm lm f ulekfh kuutd fsd kmidrdmidmy(6522 fithyu fsd kmydspkd~di- Ygd `lhhl~kmn yfchd ugl~u ygd sduthyu l` ygd kmydspkd~u-

Hdpdh l` ditefyklm Lrkmklm lm ygd ulekfh kuutd

Ylyfh Fnsdd Ikufnsdd

Tmkpdsuky{ 942 67 907Elhhdnd 49> 52 4>>Gkng uegllh 352 34 344Ylyfh 633> >5 6522

Idydsakmd( fy ygd 6$ uknmkstefmed hdpdh( ~gdygds ygd hdpdh l` ditefyklm fmi ygd lrkmklm lm ygd ulekfhkuutd fsd kmidrdmidmy- Z; afsjuQ

66- F rdyslhdta elarfm{ ehfkau ygfy kyu rdyslh gfu f SLM sfykmn l` fy hdfuy ;>- @sla f sfmila ufarhdl` 64 rdyslh uyfyklmu udhhkmn ygd rdyslh( ygd adfm SLM sfykmn ku `ltmi yl cd ;0-52-

Fuutakmn ygfy ygd SLM sfykmn l` ygd rdyslh l` ygd rdyslhdta elarfm{ gfu f mlsafh ikuyskctyklm~kyg uyfmifsi idpkfyklm 5-36(

'f+ yduy ygd ehfka l` ygd rdyslhdta elarfm{ fy ygd 3-4$ uknmkstefmed hdpdh( Z0 afsjuQ

'c+ idydsakmd ygd uafhhduy ufarhd ukzd sdvtksdi ul ygfy ygd mthh g{rlygduku km ygd yduy l` ygd

rdyslhdta elarfm{‛u ehfka ku sdodeydi fy ygd 4$ uknmkstefmed hdpdh- Z0 afsjuQ

63- Km f utspd{ lm ygd vtfhky{ l` udspked rslpkidi c{ f cfmj( 63 lty l` 642 etuyladsu ygkmj ygfy ygdudspked ku tmufyku`feyls{ ~gkhd ygd lygds 657 etuyladsu ygkmj lygds~kud-

Yduy ygd g{rlygduku ygfy ygd rslrlsyklm l` etuyladsu ~gl ygkmj ygfy ygd udspked ku tmufyku`feyls{ ku2-62

'f+ c{ tukmn f ;;$ elmstidmed kmydspfh( Z> afsjuQ

'c+ c{ efss{kmn lty f uknmkstefmed yduy fy ygd 6$ uknmkstefmed hdpdh- Z0 afsjuQ

Elaadmy lm adygliu 'f+ fmi 'c+ tudi km ygd yduy l` ygd g{rlygduku- Z3 afsjuQ

56




UYRA 3224

6- ^gfy ku f nsfrg fmi ~gfy ildu ygd idnsdd l` f pdsydw l` f nsfrg adfm< Z5 afsjuQ

3- Ugl~ ygfy 'w( 63+ 1 6 fmi 'w( 64+ 1 6 k` fmi lmh{ k` 'w( 52+ 1 6( ~gdsd 'f( c+ idmlydu ygd nsdfyduyelaalm ikpkuls l` f fmi c- Gdmed( stmi fhh kmydndsu w uteg ygfy 'w( 63+ 1 6 fmi 'w( 64+ 1 6- Z0 afsjuQ

5- @lts uegllhu R ( V( S fmi U dfeg gfu ydfa F fmi ydfa C km f yltsmfadmy- Ygd ydfau `sla ygdufad uegllh il mly rhf{ fnfkmuy dfeg lygds- Fy f edsyfkm uyfnd l` ygd yltsmfadmy( ygd mtacdsu l` nfadu rhf{di c{ ygd ydfau( dwedry ydfa F l` uegllh R ( fsd ikuykmey- Idydsakmd ygd mtacds l` nfadurhf{di c{ ydfa C l` uegllh R - Z> afsjuQ

9- Tukmn ygd idstmkyklm l` elmnstdmed( rslpd ygfy k` w( s fmi v fsd kmydndsu fmi w ≦ s'ali v +( ygdmwm ≦ sm'ali v + ~gdsd m ku f rlukykpd kmydnds- Z9 afsjuQ

Gdmed( ugl~ ygfy 6;m * 5;m ≦ 3'ali 7+ `ls dpds{ kmydnds m ≤ 6- Z0 afsjuQ

4- Y ?S3 ↓ S3 ku f hkmdfs ysfmu`lsafyklm uteg ygfy

Y ?

66

↓

59

( fmi Y ?

36

↓

09

-

'f+ C{ dwrsduukmn

62

fu f hkmdfs elackmfyklm l`

66

fmi

36

( ugl~ ygfy Y

62

1

52

- @kmi

fhul Y

26

- Gdmed( ~skyd il~m ygd afyskw sdrsdudmykmn Y- Z0 afsjuQ

'c+ @kmi ygd kafnd l` ygd eksehd w3 * {3 1 6 tmids Y- Z9 afsjuQ

0- Ygd hkmd h gfu dvtfyklm s 1 3k * o * κ'3k * j+ fmi ygd rhfmd ς gfu dvtfyklm s 1 k * 5 o ∓ j * ´'3k *j+ * p'∓k * 9 o+-

'f+ Ygd rlkmyu R fmi V hkd lm h fmi ς sdurdeykpdh{- Ygd rlkmy S hkdu lm ygd hkmd R V( ~gdsdR S 1 3SV- K` R fmi V alpd lm h fmi ς sdurdeykpdh{( stmi ygd dvtfyklm l` ygd hletu l` S-

Z0 afsjuQ

'c+ Ygd rlkmyu H fmi A gfpd ellsikmfydu '2( 6(∓6+ fmi '6(∓4(∓3+ sdurdeykpdh{- Ugl~ ygfy H hkdulm h fmi A hkdu lm ς- Z5 afsjuQ

Idydsakmd ygd ukmd l` ygd fetyd fmnhd cdy~ddm ygd hkmd HA fmi ygd rhfmd ς fmi ygd uglsyduy ikuyfmed`sla H yl ς- Z0 afsjuQ

>- Km f uyti{ lm ygd rdyslh elmutaryklm l` efsu( ky ku `ltmi ygfy ygd adfm akhdfnd rds hkysd l` rdyslh `ls39 efsu l` ygd ufad dmnkmd efrfeky{ ku 64-3 ja ~kyg f uyfmifsi idpkfyklm l` 9-3 ja- Efhethfyd ygduyfmifsi dssls l` ygd adfm akhdfnd fmi kmydsrsdy ygku uyfmifsi dssls- Z5 afsjuQ

7- Ygd afuu l` f rfsykethfs y{rd l` uyddh ugddy rslitedi c{ f `feyls{ gfu f mlsafh ikuyskctyklm- Ygdadfm afuu l` f sfmila ufarhd l` 69 ugddyu ku >3-4 jn fmi ygd uyfmifsi idpkfyklm ku 5-3 jn- Efhethfydf ;4$ elmstidmed kmydspfh `ls ygd adfm afuu l` ygd uyddh ugddyu rslitedi c{ ygd `feyls{- Z9 afsjuQ

;- Dwrhfkm ~gfy ku adfmy c{ uknmkstefmed hdpdh km ygd elmydwy l` g{rlygduku yduykmn- Z3 afsjuQ

Km f nllimduu!l`!sty yduy `ls ygd mthh g{rlygduku ygfy ygd ckmlakfh ikuyskctyklm ku fm fidvtfyd alidh

`ls ygd ifyf( ygd yduy uyfykuyke ku `ltmi yl gfpd ygd pfhtd 6;-57 ~kyg > idnsddu l` `sddila- @kmi ygduafhhduy uknmkstefmed hdpdh fy ~gkeg ygd mthh g{rlygduku ku sdodeydi- Z3 afsjuQ

53




62- Ygd hk`durfm l` f y{rd l` cthc ku jml~m yl cd mlsafhh{ ikuyskctydi ~kyg uyfmifsi idpkfyklm 642 gltsu-Ygd utrrhkds l` ygd cthcu ehfkau ygfy ygd adfm hk`durfm ku alsd ygfm 4422 gltsu- Ygd hk`durfmu( kmgltsu( l` f sfmila ufarhd l` 64 cthcu fsd fu `lhhl~u-

4302 4922 4732 4452 4572 4902 4462 44324022 4>72 4432 4422 4502 4032 4952

'f+ Uyfyd ygd frrslrskfyd g{rlygdudu yl yduy ygd utrrhkds‛u ehfka fmi efss{ lty ygd g{rlygduku yduyfy ygd 4$ uknmkstefmed hdpdh- Z7 afsjuQ

'c+ K` ygd ystd adfm hk`durfm ku 4442 gltsu( stmi ygd rslcfckhky{ ygfy ygd yduy nkpdu f elssdey idekuklm-Z9 afsjuQ

66- Ygd `lhhl~kmn yfchd ugl~u ygd `sdvtdme{ ikuyskctyklm l` rfuudmndsu 'dwehtikmn ygd iskpds+ rds efs kmf yl~m `ls f rfsykethfs rdskli- Ygd ifyf elthi cd f ufarhd `sla f Rlkuulm ikuyskctyklm-

Mtacds l` rfuudmndsu 2 6 3 5 9 4 0

@sdvtdme{ 396 366 629 54 > 2 3

'f+ @kmi fhh ygd dwrdeydi `sdvtdmekdu `ls ygd ikuyskctyklm elssdey yl y~l idekafh rhfedu- Z5 afsjuQ

'c+ Efhethfyd ygd pfhtdu l` ygd ώ3 nllimduu!l`!sty uyfykuyke

k- ~kyglty elackmkmn fm{ `sdvtdme{ ehfuudu(

kk- ~kyg ygd hfuy ygsdd `sdvtdme{ ehfuudu cdkmn elackmdi-

Elaadmy lm ygd pfhtdu lcyfkmdi fmi dwrhfkm fm{ ikfldsdmedu- Z0 afsjuQ

'e+ Tukmn ygd pfhtd l` ygd uyfykuyke km 'c+'kk+( yduy `ls nllimduu l` sty fy ygd 4$ uknmkstefmed hdpdh-Z5 afsjuQ

63- Ygd `lhhl~kmn yfchd ugl~u ygd pfhtdu l` ygd pfskfchd { elssdurlmikmn yl udpdm feetsfydh{ urdekstdipfhtdu l` ygd pfskfchd w-

{ 722 ;32 6372 6422 9232 0322 0722w 3 5 4 4 7 62 63

'f+ Rhly f uefyyds ikfnsfa l` hlnd { fnfkmuy hlnd w- Z5 afsjuQ

'c+ @kmi ygd dvtfyklm l` ygd hdfuy uvtfsdu sdnsduuklm hkmd l` ygd `lsa hlnd { 1 γ 2 * γ 6 hlnd w( ~kygγ 2 fmi γ 6 elssdey yl y~l idekafh rhfedu- Z4 afsjuQ

'e+ Efhethfyd ygd Rdfsulm elssdhfyklm eldstekdmy s cdy~ddm hlnd { fmi hlnd w- Kmydsrsdy {lts pfhtdl` s fmi elaadmy lm ygku pfhtd ~kyg sdurdey yl ygd uefyyds ikfnsfa km 'f+- Z0 afsjuQ

55




UYRA 3220

6- Ygd rlkmyu F( C fmi E fsd ygsdd elhhkmdfs rlkmyu lm f efsydukfm rhfmd fmi Y'F+ 1 F6( Y'C+ 1 C6 fmiY'E + 1 E 6( ~gdsd Y ? S3 ↓ S

3 ku f hkmdfs ysfmu`lsafyklm- K` FC ? CE 1 a ? m( stmi F6C6 ? C6E 6-Z5 afsjuQ

3- Tukmn elmnstdmed rslrdsykdu( rslpd ygfy 3am ∓ 6 ku ikpkukchd c{ 3a ∓ 6 `ls fhh kmydndsu a( m ≤ h-Z5 afsjuQ

Idited ygfy( k` 3 r ∓ 6 ku f rskad mtacds( ygdm r ku f rskad mtacds- Z5 afsjuQ

5- Ygd afyskw A sdrsdudmyu fm fmykehlej~kud slyfyklm km ygd w{!rhfmd fclty ygd lsknkm ygsltng fm fmnhd

η- Ygd afyskw M 1

elu η 3elu η ∓ ukm ηukm η 3ukm η * elu η

sdrsdudmyu ygd elackmdi dfldey l` ygd ysfmu`lsafyklm

sdrsdudmydi c{ f afyskw J `lhhl~di c{ ygd ysfmu`lsafyklm sdrsdudmydi c{ A- @kmi J fmi idueskcdygd ysfmu`lsafyklm sdrsdudmydi c{ J- Z> afsjuQ

9- Nsfrgu N6( N3 fmi N5 fsd nkpdm fu `lhhl~u-

'f+ Isf~ fm dthdskfm eksetky `ls ygd nsfrg ~gkeg ku dthdskfm- Z5 afsjuQ

'c+ Isf~ f gfakhylmkfm e{ehd `ls dfeg l` ygd nsfrgu ~gkeg ku gfakhylmkfm- Z5 afsjuQ'e+ @ls ygd nsfrg ~gkeg ku mly gfakhylmkfm( idydsakmd gl~ ky elthi cd afid kmyl f gfakhylmkfm

nsfrg c{ fiikmn fm dind- Z6 afsjuQ

'i+ @ls dfeg l` ygd nsfrgu ~gkeg ku mly dthdskfm( idydsakmd gl~ ky elthi cd afid kmyl fm dthdskfmnsfrg c{ idhdykmn ls fiikmn fm dind- Z3 afsjuQ

4- Tukmn Dtehki‛u fhnlskyga( stmi n-e-i-'07;5( 66 05;+- Z5 afsjuQ

K` m ku fm kmydnds cdy~ddm 32 222 fmi >22 222 uteg ygfy ygd sdafkmids ku 07;5 ~gdm m ku ikpkidi c{66 05;( stmi n-e-i-'07;5( m+- Z> afsjuQ

0- Ygd rhfmdu ς6 fmi ς3 ~kyg dvtfyklmu w∓

{ * 3z 1 6 fmi 3w * {∓

z 1 2 sdurdeykpdh{ kmydsudey km ygdhkmd h- Ygd rlkmy F gfu ellsikmfydu '6(2( 6+-

'f+ Efhethfyd ygd fetyd fmnhd cdy~ddm ς6 fmi ς3- Z3 afsjuQ

'c+ Dwrhfkm ~g{ ygd pdeyls

6∓63

Þ

3

6∓6

ku km ygd iksdeyklm l` h- Gdmed( ugl~ ygfy ygd dvtfyklm

l` h ku

s 1

2

66

* y

∓6

45

-

~gdsd y ku f rfsfadyds- Z4 afsjuQ

'e+ @kmi ygd dvtfyklm l` ygd rhfmd rfuukmn ygsltng F fmi elmyfkmkmn h- Z5 afsjuQ'i+ @kmi ygd dvtfyklm l` ygd rhfmd rfuukmn ygsltng F fmi rdsrdmikethfs yl h- Z3 afsjuQ

59




g g g g g g g g g g g g g g g

Ditefyklm hdpdhLrkmklm

[du Ml Mly utsd

Gkng uegllh 634 04 622Elhhdnd ;7 07 09

Tmkpdsuky{ 622 72 632

Efss{ lty egk!uvtfsdi yduyu yl idydsakmd ~gdygds ditefyklmfh hdpdh ku sdhfydi yl ygd lrkmklm lm efmkmnfy ygd uknmkstefmed hdpdhu l` 6$ fmi 3$- Z62 afsjuQ

Elaadmy lm ygd elmehtuklmu l` ygdud yduyu- Z3 afsjuQ

50




UYRA 322>

6- Y~l nsfrgu N6 fmi N3 fsd ugl~m cdhl~-

'f+ Uyfyd( ~kyg sdfulmu( ~gkeg ku fm dthdskfm nsfrg fmi ~gkeg ku mly- Z5 afsjuQ

'c+ @kmi fm dthdskfm eksetky `ls ygd dthdskfm nsfrg- Z3 afsjuQ

3- K` f ukarhd nsfrg gfu m pdsykedu ~gdsd m ≤ 3( ugl~ ygfy fy hdfuy y~l pdsykedu fsd l` ygd ufad idnsdd-Z9 afsjuQ

Nkpd f eltmyds dwfarhd yl ugl~ ygfy ygd sduthy ku mly ystd `ls f nsfrg ~gkeg ku mly f ukarhd nsfrg-Z3 afsjuQ

5- Ygd hkmd ~gkeg rfuudu ygsltng ygd rlkmyu F'∓0(∓6(∓>+ fmi C'0( 5( 6+ etyu ygd rhfmd 5w∓{ * 3z 1 4fy ygd rlkmy R - Ugl~ ygfy ygd rlkmyu F fmi C fsd lm ygd lrrlukyd ukidu l` ygd rhfmd( fmi stmi ygdsfykl FR ? CR - Z0 afsjuQ

9- 'f+ @kmi fhh kmydndsu w ygfy ufyku { ygd elmnstdmed

3w ≦ 2 'ali 0+-

Z5 afsjuQ

'c+ @kmi fhh kmydndsu w fmi { ygfy ufyku`{ ygd rfks l` elmnstdmedu

3w * { ≦ 6 'ali 0+(w * 5{ ≦ 5 'ali 0+-

Z0 afsjuQ

4- F hkmdfs ysfmu lsafyklm ` ? S3 ↓ S3 ku idstmdi c{ `'t+ 1 p( ~gdsd t 1

w{

fmi p 1

w * {w ∓ {

-

'f+ K` `'t+ 1 Ft( ~gdsd F ku f 3 Þ 3 afyskw( stmi F- Z3 afsjuQ

'c+ K` ` 3't+ 1 Ct( ~gdsd ` 3't+ 1 '` ◠ `+'t+ fmi C ku f 3Þ 3 afyskw( stmi C fmi pdsk`{ ygfy C 1 F3-Z5 afsjuQ

'e+ C{ tukmn afygdafykefh kmiteyklm( ugl~ ygfy ` m't+ 1 Fmt( ~gdsd ` m't+ 1 '` ◠ ` m∓6+'t+( `ls fhhkmydndsu m ≤ 6- Z9 afsjuQ

'i+ Ygd rlkmyu R ( V fmi S fsd ygd kafndu l` ygd pdsykedu R ( V fmi S sdurdeykpdh{ l` f yskfmnhdtmids ygd ysfmu`lsafyklm ` m- K` ygd fsdf l` ygd yskfmnhd R VS ku 7 tmkyu3( stmi ygd fsdf l` ygdyskfmnhd R VS- Z5 afsjuQ

0- Y~l uysfkngy hkmdu h6 fmi h3 gfpd dvtfyklmu ∓3w * 9 1 3{ ∓ 9 1 z ∓ 9 fmi 3w 1 { * 6 1 ∓z * 5sdurdeykpdh{- Idydsakmd ~gdygds h6 fmi h3 kmydsudey- Z> afsjuQ

Ygd r lkmyu R fmi V hkd lm h6 fmi h3 sdurdeykpdh{( fmi ygd rlkmy S ikpkidu R V km ygd sfykl 3?5- @kmiygd dvtfyklm l` ygd hletu l` S- Z0 afsjuQ

5>




>- 'f+ Dwrhfkm cskdffi{ ~g{ ky ku fipkufchd yl rhly f uefyyds ikfnsfa cd`lsd kmydsrsdykmn f Rdfsulmelssdhfyklm eldstekdmy `ls f ufarhd l` ckpfskfyd ikuyskctyklm- Z3 afsjuQ

'c+ Ujdyeg f uefyyds ikfnsfa ~kyg stpd ifyf!rlkmyu `ls dfeg l` ygd `lhhl~kmn efudu-

k- Ygd Rdfsulm elssdhfyklm eldstekdmy l` y~l pfskfchdu ku ehlud yl 2 cty ygdsd ku fm lcpkltusdhfyklm cdy~ddm ygda- Z6 afsjuQ

kk- Ygd Rdfsulm elssdhfyklm eldstekdmy l` y~l pfskfchdu ku ehlud yl 6 cty ygdsd ku ml hkmdfs sdhfyklmcdy~ddm ygda- Z6 afsjuQ

7- Ygd hdmnygu l` rdyfhu yfjdm `sla f rfsykethfs urdekdu l` ffil~dsu gfpd adfm 72 ea fmi pfskfmed 52ea3- Idydsakmd ygd ufarhkmn ikuyskctyklm l` ygd ufarhd adfm k` 622 rdyfhu fsd egludm fy sfmila-

Z5 afsjuQ

Gdmed( stmi ygd rslcfckhky{ ygfy ygd ufarhd adfm ku fy hdfuy y~l uyfmifsi idpkfyklmu `sla ygd adfm-Z5 afsjuQ

;- Ky ku `ltmi ygfy 4$ l` ileylsu km f rfsykethfs eltmys{ rhf{ nlh - @kmi( yl ygsdd idekafh rhfedu( ygdrslcfckhky{ ygfy( km f sfmila ufarhd l` 42 ileylsu( y~l rhf{ nlh`- Z3 afsjuQ

Gdmed( uyfyd ygd ufarhkmn ikuyskctyklm l` ygd rslrlsyklm l` ygd ileylsu ~gl rhf{ nlh`( fmi elmuysteyf ;7$ elmstidmed kmydspfh `ls ygd rslrlsyklm- Z4 afsjuQ

62- F `fsads ~kugdu yl stmi lty ygd dfldey l` f md~ `ddi lm gku efhpdu- Ygd fpdsfnd ~dkngy nfkm l` f efh` lm ygd lsknkmfh `ddi km f almyg ku mlsafhh{ ikuyskctydi ~kyg adfm 62 jn- Km f rfsykethfs almyg( ygd`fsads nkpdu ygd md~ `ddi yl 60 efhpdu- Ky ku `ltmi ygfy ygd fpdsfnd ~dkngy nfkm l` f efh` lm ygd md~`ddi ku 66-4 jn ~kyg f uyfmifsi idpkfyklm l` 3-4 jn-

'f+ Uyfyd frrslrskfyd g{rlygdudu `ls f uknmkstefmy yduy- Z3 afsjuQ

'c+ Efss{ lty ygd yduy fy ygd 4$ uknmkstefmed hdpdh- Z> afsjuQ

66- Km f ru{eglhlnkefh uyti{( 42 rdsulmu fsd fujdi yl fmu~ds `lts athykrhd!eglked vtduyklmu- Ygd fm!u~dsu lcyfkmdi fsd elarfsdi ~kyg ygd rsdidydsakmdi fmu~dsu- Ygd ifyf ku sdelsidi fu f `sdvtdme{ikuyskctyklm fu `lhhl~u?

Mtacds l` afyegdi fmu~dsu 2 6 3 5 9@sdvtdme{ 62 64 7 4 63

F ru{eglhlnkuy utnnduyu ygfy ygd ifyf styu ygd `lhhl~kmn rslcfckhky{ ikuyskctyklm-

Mtacds l` afyegdi fmu~dsu 2 6 3 5 9Rslcfckhky{ 2-27 2-62 2-64 2-34 2-93

'f+ Efhethfyd ygd dwrdeydi `sdvtdmekdu cfudi lm ygd rslcfckhky{ ikuyskctyklm- Z3 afsjuQ

'c+ Idydsakmd ~gdygds ygdsd ku uknmkstefmy dpkidmed( fy ygd 4$ uknmkstefmy hdpdh( yl sdodey ygd utnndu!yklm- Z7 afsjuQ

63- F uyti{ ku efsskdi lty yl idydsakmd ygd dfldey l` dwdsekud `sdvtdme{ lm htmn efrfeky{- Ygd dwdsekud`sdvtdme{ km ~ddju ku idmlydi c{ W fmi ygd rdsedmyfnd kmesdfud km htmn efrfeky{ c{ [ - Ygd ifyflcyfkmdi `sla 62 plhtmyddsu fsd utaafskudi fu `lhhl~u?

w 1 56;(

w3 1 66245(

{ 1 452(

{3 1 52022(

w{ 1 67244-

'f+ Efhethfyd ygd Rdfsulm elssdhfyklm eldstekdmy fmi idueskcd ygd sdhfyklmugkr cdy~ddm W fmi [ -Z4 afsjuQ

57




'c+ Efhethfyd ygd eldstekdmy l` idydsakmfyklm fmi kmydsrsdy kyu pfhtd- Z3 afsjuQ

'e+ @kmi ygd dvtfyklm l` ygd sdnsduuklm hkmd km ygd `lsa { 1 f * cw( ~gdsd f fmi c fsd elssdey yl y~lidekafh rhfedu- Z9 afsjuQ

'i+ Rsdikey ygd adfm pfhtd l` ygd rdsedmyfnd kmesdfud km htmn efrfeky{ k` ygd dwdsekud `sdvtdme{ ku

34 ~ddju- Uyfyd {lts fuutaryklm km lcyfkmkmn ygd rsdikeydi pfhtd- Z3 afsjuQ

5;




UYRA 3227

6- K` m ku fm lii kmydnds( rslpd ygfy w3 ∓ {3 1 3m gfu ml ulhtyklm km ygd udy l` kmydndsu- Z9 afsjuQ

3- Ygd fiofedme{ afyskw l` f nsfrg N ku

2 6 2 6 66 2 6 2 22 6 2 6 66 2 6 2 26 2 6 2 2

-

'f+ Isf~ ygd nsfrg N- Z3 afsjuQ

'c+ Ikuykmntkug ygd pdsykedu l` ygd nsfrg N tukmn akmkata mtacds l`e lhltsu uteg ygfy pdsykedu l` ygd ufad elhlts fsd mly fiofedmy- Z3 afsjuQ

'e+ Uyfyd ygd y{rd l` ygd nsfrg N- Z6 afsjuQ

5- @kmi ygd dvtfyklm l` ygd rhfmd ~gkeg ku rfsfhhdh yl ygd rhfmd 5w * 3{∓0z∓39 1 2 fmi rfuudu ygsltngygd rlkmy '6( 2( 2+- Gdmed( idydsakmd ygd ikuyfmed cdy~ddm ygdud y~l rhfmdu- Z0 afsjuQ

9- F nsfrg ku nkpdm fu `lhhl~u?

f c

'f+ @kmi ygd ylyfh mtacds l` rfygu ~kyg ygd dmi pdsykedu f fmi c- Z5 afsjuQ

'c+ skyd il~m ygd idnsdd udvtdmed l` ygd nsfrg( 'i6( i3( - - - ( i;+( km fuedmikmn lsids- Z3 afsjuQ

'e+ Ugl~ ygfy ygd ylyfh mtacds l` rfygu elmukuykmn l` ygsdd pdsykedu ku;

k13

ik3

fmi idydsakmd kyu

pfhtd- Z9 afsjuQ

4- Ygd rlkmyu F fmi C hkd lm ygd hkmd s 1

25

0

* κ

6∓6

∓9

( fmi ygd ikuyfmed l` dfeg rlkmy ku ygsdd tmkyu

`sla ygd lsknkm L-

'f+ Idydsakmd ygd ellsikmfydu l` F fmi C- Z0 afsjuQ

'c+ @kmi ygd fsdf l` ygd yskfmnhd LFC- Z5 afsjuQ

0- F hkmdfs ysfmu lsafyklm Y ? S3 ↓ S3 afru

2∓6

kmyl

33

(

66

kmyl

50

fmi

62

kmyl

54

-

'f+ @kmi ygd afyskedu F fmi E uteg ygfy

Yw{ 1 F

w{* E-

Z0 afsjuQ

92




'c+ Ygd ysfmu`lsafyklm Y ku dvtkpfhdmy yl f ysfmu`lsafyklm T `lhhl~di c{ f ysfmu`lsafyklm P-Idydsakmd ygd kafndu l` ygd rlkmyu R 6'2( 2+( R 3'2( 3+( R 5'6( 3+ fmi R 9'6( 2+ tmids Y( fmi gdmedidueskcd T fmi P- Z0 afsjuQ

'e+ Idydsakmd ygd kafnd l` ygd uysfkngy hkmd { 1 3w tmids Y- Z5 afsjuQ

>- F udy l` ufarhd ifyf `ls y~l sfmila pfskfchdu W fmi [ nkpdu ygd sduthyu'w ∓ ¬w+3 1 >3(

'{ ∓ ¬{+3 1 4>(

'w ∓ ¬w+'w ∓ ¬{+ 1 ∓50-

'f+ Efhethfyd ygd Rdfsulm elssdhfyklm eldstekdmy s cdy~ddm W fmi [ ( fmi kmydsrsdy ygd pfhtd l` slcyfkmdi- Z5 afsjuQ

'c+ ^gfy ku ygd pfhtd l` s k` dfeg pfhtd l` w ku kmesdfudi c{ 2-5 ~gdsdfu ygd pfhtd l` { sdafkmtmegfmndi< Nkpd f sdfulm- Z3 afsjuQ

7- F afegkmd ku sdnthfydi yl ikurdmud f eglelhfyd iskmj kmyl etru- @sla f sfmila ufarhd l` 622 etru

l` ygd eglelhfyd iskmj ikurdmudi( ky ku `ltmi ygfy ygd elelf elmydmy km lmd etr l` ygd eglelhfyd iskmjgfu adfm 4 n fmi uyfmifsi idpkfyklm 2-4 n- Ygd l~mds l` ygd afegkmd tudu ygd elmstidmed kmydspfh'9-;22 n( 4-622 n+ yl duykafyd ygd adfm elelf elmydmy km lmd etr l` ygd eglelhfyd iskmj-

'f+ Kidmyk`{ ygd rlrthfyklm rfsfadyds tmids uyti{- Z6 afsjuQ

'c+ Idydsakmd ygd elmstidmed hdpdh `ls ygd elmstidmed kmydspfh tudi- Z4 afsjuQ

;- Ygd afuudu l` ~fydsadhlm rslitedi c{ f `fsads fsd mlsafhh{ ikuyskctydi ~kyg adfm 5 jn- Ygd`fsads idekidu yl tud f md~ lsnfmke `dsykhkuds `ls gku eslr k` ygd adfm afuu l` f sfmila ufarhd l` 62~fydsadhlmu tukmn ygd md~ lsnfmke `dsykhkuds dweddiu j jn- @ls ygku sfmila ufarhd l` 62 ~fydsadhlmu(ygd uyfmifsi idpkfyklm ku 2-04 jn- Ygd `fsads tudu f rslcfckhky{ l` Y{rd K dssls dvtfh yl 2-26 kmafjkmn gku idekuklm-

'f+ Uyfyd ~gfy ku adfmy c{ f Y{rd K dssls - Z6 afsjuQ

'c+ Idydsakmd ygd pfhtd l` j- Z4 afsjuQ

62- @ls f udy l` ifyf( ygd hdfuy!uvtfsdu sdnsduuklm hkmd l` { lm w ku

{ 1 622-64 * 2-34w-

'f+ Dwrhfkm ygd adygli tudi yl duykafyd ygd eldstekdmy l` w fmi ygd elmuyfmy km ygd dvtfyklm l` ygdsdnsduuklm hkmd- Uyfyd fm frrslrskfyd fuutaryklm- Z9 afsjuQ

'c+ ^gfy ku ygd rdsedmyfnd dssls km ygd duykafyklm l` pfhtd l` { ~gdm w 1 3422 tukmn ygd sdnsduuklmhkmd( nkpdm ygfy ygd feytfh pfhtd l` { ku 742< Z9 afsjuQ

66- Y~l gtmisdi rfykdmyu ~kyg f edsyfkm ujkm ikulsids fsd ysdfydi `ls stpd if{u dkygds ~kyg esdfa F lsesdfa C- Ygd `lhhl~kmn yfchd ugl~u ygd mtacds l` rfykdmyu sdelsidi fu ml sdelpds{( rfsykfh sdelpds{ls elarhdyd sdelpds{-

Y{rd l` esdfa Mtacds l` rfykdmyu

Ml sdelpds{ Rfsykfh sdelpds{ Elarhdyd sdelpds{

F 34 52 94C 62 34 04

'f+ Efhethfyd ygd rdsedmyfnd l` rfykdmyu ~kyg karslpdadmy `ls dfeg y{rd l` esdfa tudi fmi elaadmylm {lts fmu~dsu- Z3 afsjuQ

'c+ Idydsakmd( fy ygd 4$ uknmkstefmed hdpdh( ~gdygds ygd elmikyklm l` f rfykdmy ku kmidrdmidmy l` ygdy{rd l` esdfa tudi- Z; afsjuQ

96




'e+ ^gfy elmehtuklm efm cd afid cfudi lm ygd sduthyu km 'f+ fmi 'c+< Z6 afsjuQ

63- F afmt`feytsds rslitedu f md~ y{rd l` rfkmy- Gd ehfkau ygfy ygd rfkmy gfu 2-29$ hdfi elmydmy c{~dkngy- F sfmila ufarhd l` 34 ykmu '6 jn rds ykm+ l` ygd rfkmy ku fmfh{udi yl idydsakmd ygd hdfi

elmydmy- Ufarhd adfm fmi uyfmifsi idpkfyklm l` ygd hdfi elmydmy km f jkhlnsfaad l` rfkmy fsd 2-57n fmi 2-6 n sdurdeykpdh{-

'f+ Elmuystey f ;;$ elmstidmed kmydspfh `ls ygd adfm hdfi elmydmy km f jkhlnsfaad l` rfkmy- Uyfyd{lts fuutaryklm- Z4 afsjuQ

'c+ ^gfy ku ygd dfldey lm ygd elmstidmed kmydspfh lcyfkmdi km 'f+ k` ygd ufarhd ukzd ku kmesdfudi yl622< Z3 afsjuQ

'e+ Efss{ lty f yduy( fy ygd 6$ uknmkstefmed hdpdh( yl yduy ygd afmt`feytsdsu ehfka- Z0 afsjuQ

'i+ Sdhfyd ygd elmstidmed kmydspfh lcyfkmdi km 'f+ ~kyg ygd sduthy l` ygd yduy km 'e+- Z3 afsjuQ

93




UYRA 322;

6- Hdy J su cd f elarhdyd ckrfsykyd nsfrg( ~gdsd s ≩ u- Dfeg l` ygd s pdsykedu km f rfsykyd udy ku elmmdeydiyl dfeg l` ygd u pdsykedu km fmlygds rfsykyd udy- K` J su gfu 50 dindu fmi 64 pdsykedu- stmi s fmi u-

Z9 afsjuQ

3- Y ?S3 ↓ S3 ku f hkmdfs ysfmu`lsafyklm sdrsdudmydi c{ f afyskw

f c∓5 f

- K` ygd kafndu l` ygd rlkmyu

'f(∓6+ fmi '∓3( f+ fsd 'f * 3( 3c+ fmi '3c( >+ sdurdeykpdh{ tmids Y( stmi ygd pfhtdu l` f fmi c-Z0 afsjuQ

5- @ls fm{ kmydndsu f fmi c( rslpd ygfy k` f ikpkidu c ygdm f5 ikpkidu c5- Z5 afsjuQ

Gdmed( idydsakmd ~gdygds 09 ikpkidu Z'4m * 6+3 ∓ '5m * 4+3Q5( ~gdsd m ku fm kmydnds- Z9 afsjuQ

9- 'f+ Idstmd f ~fhj l` f nsfrg- Z3 afsjuQ

'c+ Nsfrg N ku nkpdm fu `lhhl~u?

P 6 P 3 P 5

P 9P 4

k- @kmi fhh ~fhju l` hdmnyg y~l `sla pdsydw P 3 yl pdsydw P k ~gdsd k 1 6( 3( 5( 9( 4( fmi sdrsdudmyygda c{ f sl~ afyskw- Z3 afsjuQ

kk- @kmi fhh ~fhju l` hdmnyg y~l `sla pdsydw P s- ~gdsd s 1 6( 3( 5( 9( 4( yl pdsydw P 9( fmisdrsdudmy ygda c{ f elhtam afyskw- Z6 afsjuQ

kkk- @kmi ygd ylyfh mtacds l` rluukchd ~fhju l` hdmnyg `lts `sla pdsydw P 3 yl pdsydw P 9-Z5 afsjuQ

4- 'f+ K` n-e-i-'f( a+16( ugl~ ygfy ygdsd dwkuyu f ulhtyklm `ls fw ≦ c 'ali a+- Z5 afsjuQ

'c+ Idited ygfy( k` n-e-i-'fi ∓ ce(m+16( ygdm f ulhtyklm dwkuyu `ls ygd u{uyda l` hkmdfs elmnstdmedu

fw * c{ ≦ j 'ali m+(ew * i{ ≦ h 'ali m+-

Gdmed( ulhpd ygd u{uyda l` hkmdfs elmnstdmedu

>w * 5{ ≦ 62 'ali 60+(

3w * 4{ ≦ ; 'ali 60+-Z> afsjuQ

0- 'f+ @kmi ygd dvtfyklm l` hkmd h6( rfuukmn ygsltng rlkmyu F fmi C( ~gdsd ygd rlukyklm pdeylsu l` rlkmyu F fmi C fsd f fmi c sdurdeykpdh{- Z6 afsjuQ

'c+ S ku f rlkmy lm ygd hkmd h6 km 'f+- K` rlkmy E gfu rlukyklm pdeyls e(

k- stmi∓↓ES km ydsau l` pdeylsu f( c fmi e- Z6 afsjuQ

kk- rslpd ygfy∓↓ESÞ∓∓↓FC 1 f Þ c * c Þ e * e Þ f( Z5 afsjuQ

kkk- idited ygd uglsyduy ikuyfmed l` ygd rlkmy E `sla ygd hkmd h6- Z5 afsjuQ

'e+ k- @kmi ygd ikuyfmed l` rlkmy Y '6*5j(∓

3* j( 4∓

3j+ yl hkmd h3 rfuukmn ygsltng rlkmyu R '9( 9( 9+fmi V'5( 3( 6+ km ydsau l` j- Z5 afsjuQ

95




kk- Idited ygd ikuyfmed cdy~ddm ujd~ hkmdu h3 fmi h5( ~gdsd ygd dvtfyklm l` hkmd h5( ku nkpdm c{

y 1

6∓34

* j

56

∓3

-

Z9 afsjuQ

>- F hlefh ftylalckhd afmt`feytskmn elarfm{ uytikdu ygd sdhfyklmugkr cdy~ddm ygd fnd 'w {dfsu+ fmiygd rsked '{ ygltufmi SA+ l` lmd l` kyu efs alidhu- Ygd ifyf lcyfkmdi `sla f sfmila ufarhd l` ydmefsu l` ygku alidh fsd fu `lhhl~u?

'6( >2+( '3( 04+( '5( 02+( '9( 44+( '4( 42+( '0( 94+( '>( 92+( '7( 54+( ';( 52+ fmi '62( 32+

Efhethfyd ygd Rdfsulm elssdhfyklm eldstekdmy cdy~ddm ygd fnd fmi ygd rsked l` ygku efs alidh( fmikmydsrsdy ygd pfhtd lcyfkmdi- Z4 afsjuQ

7- F adikefh sdudfsegds ~kugdu yl uyti{ ~gdygds ygd udpdsky{ l` f edsyfkm htmn fkhadmy ku sdhfydi yl ygdualjkmn gfcky l` f rfykdmy- F rfykdmy ~gl ualjdu alsd ygfm 32 eknfsdyydu f if{ lm ygd fpdsfnd kuehfuukstdi fu f gdfp{ ualjds- F sfmila ufarhd l` ;0 rfykdmyu ~fu yfjdm- Ky ku `ltmi ygfy `sla 95rfykdmyu ~kyg akhi htmn fkhadmy( 35 fsd hkngy ualjdsu ~gkhd ygd sduy fsd gdfp{ ualjdsu- Ygd sdafkmkmn45 rfykdmyu ~kyg udpdsd htmn fkhadmy( 5; rfykdmyu fsd gdfp{ ualjdsu-

'f+ Yfcthfyd ygd ifyf km fm frrslrskfyd elmykmndme{ yfchd- Z6 afsjuQ

'c+ Idydsakmd( fy 4$ uknmkstefmed hdpdh( ~gdygds ygd udpdsky{ l` ygd htmn fkhadmy fmi ygd ualjkmngfcky fsd kmidrdmidmy- Z4 afsjuQ

;- Yyd almygh{ ufhfs{ l` dmnkmddsu ~lsjkmn km f yl~m gfu f mlsafh ikuyskctyklm- Ygd adfm almygh{ufhfs{ l` f sfmila ufarhd l` 60 dmnkmddsu ku SA4372 fmi ygd uyfmifsi idpkfyklm ku SA972-

'f+ Elmuystey f ;4$ elmstidmed kmydspfh `ls ygd adfm almygh{ ufhfs{ l` fm dmnkmdds km ygd yl~m-Kmydsrsdy {lts fmu~ds- Z9 afsjuQ

'c+ F uyfykuykekfm stmiu ygfy ygd elmstidmed kmydspfh lcyfkmdi km 'f+ ku yll ~kid- Utnnduy( ~kyg sdfulmuf adygli `ls sditekmn ygd ~kiyg l` ygd elmstidmed kmydspfh cty afkmyfkmkmn ygd elmstidmed hdpdh-

Z5 afsjuQ

62- Fm dhdeyslmke elarlmdmy rslitedi c{ f `feyls{ ku `ltmi yl gfpd fy aluy stpd id`deyu- F utrdspkulsfy ygd `feyls{ elmiteyu f uyti{ lm ygd mtacds l` id`deyu `ltmi km ygd dhdeyslmke elarlmdmyu- Lmdygltufmi dhdeyslmke elarlmdmyu gfpd cddm udhdeydi fy sfmila fmi kmurdeydi- Ygd mtacds l` id`deyu`ltmi fmi ygdks sdurdeykpd `sdvtdme{ fse nkpdm fu `lhhl~u?

Mtacds l` id`deyu 2 6 3 5 9 4@sdvtdme{ 55 694 55> 370 6>9 34

'f+ Yduy( fy 4$ fmi 32$ uknmkstefmed hdpdhu( ~gdygds ygd ckmlakfh ikuyskctyklm ~kyg rslcfckhky{ l` id`dey r 1 2-4 styu ygd ifyf- Z> afsjuQ

'c+ Sdelaadmi( ~kyg f sdfulm( fm frrslrskfyd elmehtuklm `ls rfsy 'f+- Z3 afsjuQ

66- Ygd hk`durfm 'km jkhladysdu+ l` f y{sd ku idstmdi fu ygd ikuyfmed ysfpdhhdi cd`lsd ~dfskmn lty- F y{sdafmt`feytsds ehfkau ygfy ygd adfm hk`durfm ´ l` kyu y{sd ku fy hdfuy 42 222 ja- Km lsids yl yduy ygkuehfka( f elmutads fuulekfyklm yfjdu f sfmila ufarhd l` 636 y{sdu- Ygd adfm fmi uyfmifsi idpkfyklml` ygd hk`durfm `ls ygd ufarhd fsd 9; 322 ja fmi 3422 ja sdurdeykpdh{-

'f+ Idydsakmd ygd ikuyskctyklm l` ygd ufarhd adfm hk`durfm l` ygd y{sdu k` ygd hk`durfm l` ygd y{sduku fuutadi yl gfpd

99




k- f mlsafh ikuyskctyklm( Z6 afsjuQ

kk- fm tmjml~m ikuyskctyklm- Z6 afsjuQ

'c+ Fuutakmn ygfy ygd hk`durfm l` ygd y{sdu gfu f mlsafh ikuyskctyklm( uyfyd ygd frrslrskfyd g{rlygd!udu yl yduy ygd afmt`feytsds‛u ehfka( fmi efss{ lty ygd g{rlygduku yduy fy ygd 6$ uknmkstefmed

hdpdh- Z4 afsjuQ

'e+ K` ygd ystd adfm hk`durfm l` f y{sd ku 9; 922 ja- idydsakmd ygd rslcfckhky{ l` y{rd KK dssls km'c+- Z5 afsjuQ

63- F uyti{ lm ygd sdhfyklmugkr cdy~ddm faltmy l` ykad urdmy lm sdpkuklm W 'km gltsu+ fmi rds`lsafmedkm f stmfh dwfakmfyklm [ 'uelsdu l` 2 yl 622+ `ls 62 `dafhd tmidsnsfitfydu fsd utaafskudi fu `lhhl~u?

w 1 >34(

w3 1 49034(

{ 1 0;0(

{3 1 9;5>0(

w{ 1 46>24

'f+ @kmi ygd dvtfyklm l` ygd sdnsduuklm hkmd km ygd `lsa { 1 γ 2 * γ 6w( ~gdsd { ku ygd idrdmidmypfskfchd fmi w ygd kmidrdmidmy pfskfchd- Kmydsrsdy ygd pfhtd l` γ 6 lcyfkmdi- Z> afsjuQ

'c+ Tukmn ygd sdnsduuklm hkmd lcyfkmdi( rsdikey ygd adfm pfhtd l` { ~gdm w 1 >2( fmi uyfyd {ltsfuutaryklm- Z3 afsjuQ

'e+ @kmi ygd eldstekdmy l` idydsakmfyklm I cdy~ddm ygd faltmy l` ykad urdmy lm sdpkuklm fmi ygdrds`lsafmed km f stmfh dwfakmfyklm l` ygd tmidsnsfitfydu- Gdmed( kmydsrsdy ygd pfhtd l` I-

Z9 afsjuQ

94




UYRA 3262

6- Ugl~ ygfy ;m ∓ 6 ku ikpkukchd c{ 7 `ls dpds{ rlukykpd kmydnds m- Z5 afsjuQ

3- @kmi ygd ellsikmfydu l` ygd rlkmy R lm ygd hkmd w4 1 { ∓ 66 1 z ∓ 5∓3 ~gkeg ku ehluduy yl ygd rlkmy

V';( 9(∓5+- Z0 afsjuQ

5- Y ? S3 ↓ S3 ku f hkmdfs ysfmu`lsafyklm uteg ygfy ygd afyskw ~gkeg sdrsdudmyu Y ku

9 3∓6 3

- @kmi

fmi idueskcd ygd kafnd l` ygd eksehd w3 * {3 1 6 tmids ygd ysfmu`lsafyklm Y- Z4 afsjuQ

Gdmed( idydsakmd ygd fsdf l` ygd kafnd- Z3 afsjuQ

9- Ygd ysfmu`lsafyklm A ku f slyfyklm 94◠ fmykehlej~kud fclty ygd lsknkm- Ygd ysfmu`lsafyklm M ku fmdmhfsndadmy ~kyg ygd lsknkm fu ygd edmysd l` dmhfsndadmy fmi uefhd `feyls j- Ygd ysfmu`lsafyklm MA

afru ygd rlkmyu '2( 6+ fmi '5(∓6+ kmyl ygd rlkmyu '∓6( 6+ fmi '9( 3+ sdurdeykpdh{-

'f+ @kmi ygd afyskw sdrsdudmykmn ygd ysfmu`lsafyklm A- Z3 afsjuQ

'c+ @kmi ygd afyskw sdrsdudmykmn ygd ysfmu`lsafyklm MA- Z9 afsjuQ

'e+ Idydsakmd ygd pfhtd l` j- Z3 afsjuQ

4- Ygd hkmd h gfu ygd dvtfyklmw * >

61

{ ∓ 9

∓51

z ∓ 4

3fmi ygd rhfmd ς gfu ygd dvtfyklm 9w∓3{∓4z 1 7-

'f+ Idydsakmd ~gdygds ygd hkmd h ku rfsfhhdh yl ygd rhfmd ς- Z4 afsjuQ

'c+ @kmi ygd dvtfyklm l` ygd rhfmd ygfy ku rdsrdmikethfs yl ygd rhfmd ς fmi elmyfkmu ygd rlkmyuV'

∓3( 2( 5+ fmi S'3( 6( >+- Z0 afsjuQ

0- Ygd ukarhd nsfrg N ~kyg kyu pdsydw udy P 'N+ 1 zf(c(e(i(d(`(n(g(k(oq ku ugl~m cdhl~-

'f+ Uyfyd( ~kyg f sdfulm( ~gdygds N ku fm Dthdskfm nsfrg- Z3 afsjuQ

'c+ @kmi ygd hfsnduy e{ehd km N( fmi idydsakmd ~gdygds N ku f Gfakhylmkfm nsfrg- Z9 afsjuQ

'e+ Ygd utcnsfrg U l` N ku lcyfkmdi c{ sdalpkmn ygd pdsydw n ylndygds ~kyg fhh ygd dindu fiofedmyyl ky-

k- Isf~ ygd utcnsfrg U - Z3 afsjuQ

kk- Idydsakmd ~gdygds U ku f elmmdeydi nsfrg- Z3 afsjuQ

kkk- Idydsakmd ~gdygds U ku f ckrfsykyd nsfrg- Z5 afsjuQ

>- Ygd adfm afsj l` fm Dmnhkug yduy `ls f sfmila ufarhd l` 42 `lsa stpd uytidmyu km f rfsykethfs uyfydku 9>->- F g{rlygduku yduy ku yl cd efsskdi lty yl idydsakmd ~gdygds ygd adfm afsj `ls fhh ygd `lsa

90




stpd uytidmyu km ygd uyfyd ku nsdfyds ygfm 94-2- Tukmn f rlrthfyklm uyfmifsi idpkfyklm l` 65 afsju(efss{ lty ygd g{rlygduku yduy fy ygd 62$ uknmkstefmed hdpdh- Z0 afsjuQ

7- Ygd sdhfyklmugkru cdy~ddm y~l pfskfchdu w fmi { fsd ugl~m km ygd nsfrgu cdhl~-

Utnnduy f pfhtd `ls Rdfsulm elssdhfyklm eldstekdmy s k` ygd ltyhkds ku mly yfjdm kmyl feeltmy( fmielaadmy lm ygd dfldey l` ygd ltyhkds lm ygd pfhtd l` s km dfeg l` ygd fclpd nsfrgu- Z0 afsjuQ

;- F ileyls ehfkau ygfy ileylsu km nlpdsmadmy glurkyfhu ~lsj fy hdfuy 63 dwysf gltsu km f ~ddj- Fsfmila ufarhd l` 34 ileylsu ku yfjdm fmi ky ku `ltmi ygfy ygd adfm fmi uyfmifsi idpkfyklm fsd 62-;gltsu fmi 3-5 gltsu sdurdeykpdh{-

Uyfyd ygd frrslrskfyd g{rlygdudu yl yduy ygd ileyls‛u ehfka( fmi efss{ lty ygd yduy fy ygd 4$ uknmkst!efmed hdpdh- Z> afsjuQ

62- F `lli elarfm{ efsskdu lty f afsjdy utspd{ km f uyfyd lm kyu md~ ffifpltsdi {lngtsy- Ygsdd gtmisdisfmilah{ egludm elmutadsu yfuyd ygd {lngtsy- Ygdks sdurlmudu fsd ugl~m km ygd yfchd cdhl~-

Sdurlmud Hkjd Ikuhkjd MdtysfhMtacds l` elmutadsu 6;4 >2 54

'f+ Duykafyd ygd rslrlsyklm l` elmutadsu km ygd uyfyd ~gl hkjd ygd {lngtsy- Gdmed( efhethfyd ygdrslcfckhky{ ygfy ygd rslrlsyklm l` elmutadsu ~gl hkjd ygd {lngtsy ku fy hdfuy 2->2- Z4 afsjuQ

'c+ Elmuystey f ;4$ elmstidmed kmydspfh `ls ygd rslrlsyklm l` elmutadsu km ygd uyfyd ~gl hkjd ygd{lngtsy- Z9 afsjuQ

66- Km idpdhlrkmn f md~ istn `ls fm fhhdsn{( fm dwrdskadmy ku efsskdi lty yl uyti{ gl~ ikfldsdmy ilufndu l` ygd istn ffldey ygd itsfyklm l` sdhkd` `sla ygd fhhdsnke u{arylau- F sfmila ufarhd l` dkngy rfykdmyuku yfjdm fmi dfeg rfykdmy ku nkpdm f urdekstdi ilufnd l` ygd istn- Ygd itsfyklm l` sdhkd` `ls ygd rfykdmyuku ugl~m km ygd yfchd cdhl~-

9>




UYRA 3266

6- ^gdm kmydndsu f fmi c fsd ikpkidi c{ 7( ygd sdakmfidsu fsd 5 fmi > sdurdeykpdh{- @kmi ygd sdafkmids~gdm 4f * c ikpkidi c{ 7- Z9 afsjuQ

3- K` m ku fm kmydnds uteg ygfy > ikpkidu m * 6 fmi 6; ikpkidu m *5( ugl~ ygfy 63m ≦ 3'ali 655+- Gdmed(idydsakmd ygd uafhhduy pfhtd l` m- Z4 afsjuQ

5- Ygd fiofedme{ afyskw l` f ukarhd nsfrg N ku

2 2 2 6 62 2 6 6 22 6 2 6 a3

6 6 6 2 26 2 9a∓ 5 2 2

-

'f+ Idydsakmd ygd pfhtd l` a( fmi isf~ ygd nsfrg N- Z9 afsjuQ'c+ Uyfyd ygd hdmnyg l` ygd hlmnduy e{ehd km ygd nsfrg N- Z6 afsjuQ

9- Ygd hkmd s 1

6

35

* κ

5

r6

ku rdsrdmikethfs yl ygd rhfmd s 1

4

26

* u

6∓6v

* y

2

63

( ~gdsd r fmi

v fsd elmuyfmyu-

'f+ Idydsakmd ygd pfhtdu l` r fmi v - Z4 afsjuQ

'c+ Tukmn ygd pfhtdu l` r fmi v km 'f+( stmi ygd rlukyklm pdeyls l` ygd rlkmy l` kmydsudeyklm l` ygd hkmdfmi ygd rhfmd Z4 afsjuQ

4- Ygd ysfmu`lsafyklm Y? S3 ↓ S3 ku idstmdi c{ Y?

w{

↓ F

w{

( ~gdsd F 1

∓3 55 0

-

'f+ Idydsakmd ygd kmpfskfmy hkmd tmids Y- Z> afsjuQ

'c+ @kmi ygd kafnd l` ygd hkmd { 1 w ∓ 6 tmids Y- Z4 afsjuQ

0- Ygd ysfmu`lsafyklm Y? S3 ↓ S3 ku idstmdi c{ @

w{

1

w ∓ {w * {

-

'f+ Ugl~ ygfy @ ku f hkmdfs ysfmu`lsafyklm- Z9 afsjuQ

'c+ K` ygd kafnd l` ygd rlkmy 'w( {+ tmids @ ku ygd rlkmy 't( p+( ugl~ ygfy 3w 1 t * p fmi 3{ 1 p

∓t-

Gdmed stmi fmi ujdyeg ygd kafnd l` ygd sdnklm z'w( {+ ? 2 ≩ w ≩ 6( 2 ≩ { ≩ 6q- Z0 afsjuQ

'e+ Nkpdm ygfy @ ku f elarlukyklm l` ysfmu`lsafyklmu A fmi M(

k- Idueskcd A fmi M( Z9 afsjuQ

kk- uyfyd ygd afyskedu sdrsdudmykmn A fmi M- Z3 afsjuQ

>- W 6( fmi W 3 fsd y~l kmidrdmidmy lcudspfyklmu l` f sfmila pfskfchd W - Y~l duykafylsu `ls ygd adfmpfhtd l` w fsd idstmdi c{

η6 1jW 6 * 3jW 3

5fmi η3 1 jW 6 * '6 ∓ j+W 3(

~gdsd j ku f elmuyfmy fmi j 1 6- Idydsakmd ~gdygds ygd duykafylsu fsd tmckfudi- Z9 afsjuQ

9;




7- @kpd rfksu l` pfhtdu l` pfskfchdu w fmi { fsd yfjdm `sla f ckpfskfyd ufarhd- Ygd uefyyds ikfnsfau l` { fnfkmuy w fmi hm { fnfkmuy w fsd ugl~m cdhl~-

Ygd Rdfsulm elssdhfyklm eldstekdmy cdy~ddm w fmi { ku 2-;26( fmi ygd Rdfsulm elssdhfyklm eldstekdmycdy~ddm w fmi hm { ku 2-;;7- Elaadmy lm ygdud y~l pfhtdu ~kyg sdurdey yl ygd uefyyds ikfnsfau-

Z9 afsjuQ

;- F sfmila ufarhd l` ukzd m ku yfjdm yl duykafyd ygd adfm hdmnyg l` f rfsykethfs fhtakmta slirslitedi c{ f `feyls{- Fuutakmn ygfy ygd hdmnyg l` ygd sli ku mlsafhh{ ikuyskctydi ~kyg f uyfmifsiidpkfyklm l` 3 aa( idydsakmd ygd uafhhduy pfhtd l` m ul ygfy ygd ~kiyg l` ygd elmstidmed kmydspfh `lsygd adfm hdmnyg l` ygd sli ku 6 aa ~kyg f elmstidmed hdpdh l` fy hdfuy ;2$- Z4 afsjuQ

62- F mtyskyklmkuy ~kugdu yl idydsakmd ~gdygds ygd adfm kmyfjd l` `fy c{ ~ladm km f eky{ dweddiu ygdsdelaadmidi 34 n l` `fy kmyfjd rds if{- F sfmila ufarhd l` 32 ~ladm `sla ygd eky{ nkpdu f adfm

l` 3>-4 n fmi f uyfmifsi idpkfyklm l` 63 n l` `fy kmyfjd rds if{-

'f+ Uyfyd ygd frrslrskfyd g{rlygdudu `ls f uknmkstefmed yduy- Z6 afsjuQ

'c+ Efss{ lty ygd yduy fy ygd 4$ uknmkstefmed hdpdh- Z0 afsjuQ

'e+ Uyfyd fm{ fuutaryklm sdvtksdi- Z6 afsjuQ

66- @ls udpdsfh rfksu l` lcudspfyklmu l` pfskfchdu w fmi {( ~gdsd 4 ≩ w ≩ 37 fmi ¬w 1 60-7( ygd Rdfsulmelssdhfyklm eldstekdmy ku 2-;3- Ygd dvtfyklm l` ygd sdnsduuklm hkmd l` { lm w ku { 1 ∓6-6>3 * 2-664w-

'f+ Duykafyd ygd pfhtdu l` { ~gdm w 1 62 fmi w 1 52- Elaadmy lm ygd sdhkfckhky{ l` ygd y~lduykafydu- Z4 afsjuQ

'c+ @kmi ygd dvtfyklm l` ygd sdnsduuklm hkmd l` w lm {- Z4 afsjuQ

63- Km f rg{ukeu dwrdskadmy( ygd mtacds l` dakuuklmu rds glts `sla f sfiklfeykpd utcuyfmed ku sdelsidi`ls 622 gltsu- Ygd sduthyu l` ygd dwrdskadmy fsd ugl~m km ygd `lhhl~kmn yfchd-

Mtacds l` dakuuklmu rds glts 2 6 3 5 9 4 0 > 7@sdvtdme{ 3 64 36 60 6; 63 ; 5 5

'f+ Efhethfyd ygd ufarhd adfm fmi fm tmckfudi duykafyd `ls ygd pfskfmed l` ygd mtacds l` dakuuklmurds glts `sla ygd sfiklfeykpd utcuyfmed- Nkpd f sdfulm ~g{ ygd mtacds l` dakuuklmu rds gltsaf{ gfpd f Rlkuulm ikuyskctyklm Z0 j Q

stpm further mathematics t past year questions

Documents