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    Dbadmks

    7.?

    Dbtrjaumtdjb

    Dbadmks, jr pjwkrs, prjvdak g mjbvkbdkbt bjtgtdjb wckb wk bkka tj luetdpey g bulokr oy dtskeh skvkrgetdlks. Db tcds ]kmtdjb wk kxpegdb cjw dbadmks grk wrdttkb, gba stgtk tck rueks wcdmc grk uska hjrlgbdpuegtdbf tckl.

    Kxprkssdjbs oudet up usdbf bjb-bkfgtdvk wcjek bulokr pjwkrs jh g vgrdgoek`bjwbgs pjeybjldges jmmur hrkqukbtey db kbfdbkkrdbf lgtcklgtdms. Vk dbtrjaumk sjlk mjlljb pjeybjldges db tcds]kmtdjb.

    Hdbgeey, smdkbtdm bjtgtdjb ds uska tj kxprkss vkry egrfk jr vkry slgee bulokrs mjbmdskey. Qcds rkqudrksusk jh dbadmks. Vk kxpegdb cjw tj usk smdkbtdm bjtgtdjb tjwgras tck kba jh tck ]kmtdjb.

    ^rkrkqudsdtks

    Okhjrk stgrtdbf tcds ]kmtdjb yju scjuea . . .

    ok hgldedgr wdtc gefkorgdm bjtgtdjb gbasylojes

    Ekgrbdbf Jutmjlks

    Jb mjlpektdjb yju scjuea ok goek tj . . .

    pkrhjrl mgemuegtdjbs usdbf dbadmks

    stgtk gba usk tck egws jh dbadmks usk smdkbtdm bjtgtdjb

    CKEL (?>>;)9]kmtdjb 7.?9 Dbadmks

    ?7

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  • 8/13/2019 1 2 Indices

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    7. Dbakx bjtgtdjb

    Qck bulokr 1 1 1 ds wrdttkb, hjr scjrt, gs 1= gba rkga 1 rgdska tj tck pjwkr = jr 1 muoka.Bjtk tcgt tck bulokr jh tdlks 1 jmmurs db tck prjaumt ds wrdttkb gs g supkrsmrdpt. Db tcds mjbtkxtwk mgee tck supkrsmrdpt = gb dbakx jrpjwkr. ]dldegrey wk mjuea wrdtk

    ; ; < ;?, rkga ; tj tck pjwkr ? jr ; squgrkagba

    6 6 6 6 6 < 6; g g g< g=, l l l l< l1

    Ljrk fkbkrgeey, db tck kxprkssdjb xy, x ds mgeeka tck ogsk gba y ds mgeeka tck dbakx jr pjwkr. Qckpeurge jh dbakx ds dbadmks. Qck prjmkss jh rgdsdbf tj g pjwkr ds gesj `bjwb gs kxpjbkbtdgtdjbokmgusk ykt gbjtckr bglk hjr g pjwkr ds gb kxpjbkbt. Vckb akgedbf wdtc bulokrs yjur mgemuegtjrds goek tj kvgeugtk kxprkssdjbs dbvjevdbf pjwkrs, prjogoey usdbf tck xy outtjb.

    Kxglpek 7?[sk g mgemuegtjr tj kvgeugtk =7?.

    ]jeutdjb

    [sdbf tck xy outtjb jb tck mgemuegtjr mckm` tcgt yju jotgdb =7? < ;=7117.

    Kxglpek 7=Dakbtdhy tck dbakx gba ogsk db tck hjeejwdbf kxprkssdjbs. (g) 377, (o) (?);,(m) pq

    ]jeutdjb

    (g) Db tck kxprkssdjb 377, 3 ds tck ogsk gba 77 ds tck dbakx.

    (o) Db tck kxprkssdjb (?);,? ds tck ogsk gba ; ds tck dbakx.(m) Db tck kxprkssdjb pq, p ds tck ogsk gbaq ds tck dbakx. Qck dbtkrprktgtdjb jh g bkfgtdvk dbakxwdee ok fdvkb db suo-skmtdjb 1 wcdmc stgrts jb pgfk =7.

    _kmgee hrjl ]kmtdjb 7.7 tcgt wckb skvkrge jpkrgtdjbs grk dbvjevka wk mgb lg`k usk jh tck OJALG]ruek hjr akmdadbf tck jrakr db wcdmc jpkrgtdjbs lust ok mgrrdka jut. Qck OJALG] ruek lg`ks bjlkbtdjb jh kxpjbkbtdgtdjb. Kxpjbkbtdgtdjb scjuea ok mgrrdka jut dllkadgtkey ghtkr gby orgm`kts cgvkokkb akget wdtc gba okhjrk luetdpedmgtdjb gba advdsdjb. Mjbsdakr tck hjeejwdbf kxglpeks.

    ?? CKEL (?>>;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    Kxglpek 71

    Kvgeugtk 6 =?.

    ]jeutdjb

    Qckrk grk twj jpkrgtdjbs dbvjevka ckrk, kxpjbkbtdgtdjb gba luetdpedmgtdjb. Qck kxpjbkbtdgtdjbscjuea ok mgrrdka jut okhjrk tck luetdpedmgtdjb. ]j 6 =? < 6 4 < 8=.

    Kxglpek 7;Vrdtk jut hueey (g) =l1, (o) (=l)1.

    ]jeutdjb

    (g) Db tck kxprkssdjb =l1 tck kxpjbkbtdgtdjb ds mgrrdka jut okhjrk tck luetdpedmgtdjb oy =. ]j

    =l1 lkgbs = (l l l l) tcgt ds = l l l l

    (o) Ckrk tck orgm ktka kxprkssdjb ds rgdska tj tck pjwkr 1 gba sj scjuea ok luetdpedka oy dtskehhjur tdlks9

    (=l)1 < (=l) (=l) (=l) (=l)Okmgusk jh tck gssjmdgtdvdty jh luetdpedmgtdjb wk mgb wrdtk tcds gs

    = = = = l l l l jr sdlpey 37l1.Bjtk tck dlpjrtgbt adstdbmtdjb oktwkkb (=l)1 gba =l1.

    Kxkrmdsks

    7. Kvgeugtk, wdtcjut usdbf g mgemuegtjr, (g) ==, (o) =;, (m) ?;. (a) >.??, (k) 7;?.

    ?. Kvgeugtk usdbf g mgemuegtjr (g) 6=, (o) (71)=.?.

    =. Vrdtk kgmc jh tck hjeejwdbf usdbf dbakx bjtgtdjb9

    (g) 6 6 6 6 6, (o) t t t t, (m) 7? 7

    ? 7

    6 7

    6 7

    6.

    1. Kvgeugtk wdtcjut usdbf g mgemuegtjr. Ekgvk gby hrgmtdjbs db hrgmtdjbge hjrl.

    (g)?=

    ?, (o)

    ?;

    =, (m)

    7?

    ?, (a)

    7?

    =, (k) >.7=.

    CKEL (?>>;)9]kmtdjb 7.?9 Dbadmks

    ?=

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    Gbswkrs

    7. (g) ?6, (o) ?1=, (m) =?, (a) >.>1, (k) ??;

    ?. (g) =1=, (o) 18;7.6 (7 a.p.).

    =. (g) 6;, (o) t1, (m)7?

    ?76

    =

    1. (g) 1

    4, (o)

    3

    7?;, (m)

    7

    1, (a)

    7

    3, (k) >.7= lkgbs (>.7) (>.7) (>.7) < >.>>7

    ?. Egws jh dbadmks

    Qckrk ds g skt jh rueks wcdmc kbgoek us tj lgbdpuegtk kxprkssdjbs dbvjevdbf dbadmks. Qcksk rueks grk`bjwb gs tckegws jh dbadmks, gba tcky jmmur sj mjlljbey tcgt dt ds wjrtcwcdek tj lkljrdsk tckl.

    @ky ^jdbt ;

    Egws jh Dbadmks

    Qck egws jh dbadmks stgtk9

    Hdrst egw9 gl gb < gl+b gaa dbadmks wckb luetdpeydbf bulokrs wdtc tck sglk ogsk

    ]kmjba egw9 gl

    gb ;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    Kxglpek 78]dlpedhy (g) g; g1, (o) ?x;(x=).

    ]jeutdjb

    Db kgmc mgsk wk grk rkqudrka tj luetdpey kxprkssdjbs dbvjevdbf dbadmks. Qck ogsks grk tck sglk gbawk usk tck rst egw jh dbadmks.

    (g) Qck dbadmks lust ok gaaka, tcus g; g1 < g;+1

  • 8/13/2019 1 2 Indices

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    Kxglpek 73

    ]dlpedhy (g) 31

    3?, (o) x73 x6.

    ]jeutdjb

    Db kgmc mgsk wk grk rkqudrka tj advdak kxprkssdjbs dbvjevdbf dbadmks. Qck ogsks grk tck sglk gba wkusk tck skmjba egw jh dbadmks (@ky ^jdbt ;).

    (g) Qck dbadmks lust ok suotrgmtka, tcus 31

    3? < 31? < 3? < 81.

    (o) Gfgdb tck dbadmks grk suotrgmtka, gba sj x73 x6

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    Kxglpek 74]dlpedhy (g) (3?)=, (o) (z=)1.

    ]jeutdjb

    Vk usk tck tcdra egw jh dbadmks (@ky ^jdbt ;).

    (g) (3?)= < 3?= < 38

    (o) (z=)1 < 7

    Gby bulokr rgdska tj pjwkr 7 ds dtskeh, tcgt ds g7 < g

    CKEL (?>>;)9]kmtdjb 7.?9 Dbadmks

    ?6

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    G fkbkrgedsgtdjb jh tck tcdra egw jh dbadmks stgtks9

    @ky ^jdbt 6

    (glob)` _kljvk tck orgm`kts hrjl (g) (=x)?, (o) (x=y6)1.

    ]jeutdjb

    (g) Bjtdbf tcgt= < =7 gba x< x7 tckb

    (=x)? < (=7x7)? < =?x? < 4x? jr, getkrbgtdvkey (=x)? < (=x) (=x) < 4x?

    (o) (x=y6)1 < x=1y61 < x7?y?3

    Kxkrmdsks

    7. ]cjw tcgt (xy)? ds kqudvgekbt tj x?y? wckrkgs (xy)= ds kqudvgekbt tjx=y=.?. Vrdtk kgmc jh tck hjeejwdbf kxprkssdjbs wdtc g sdbfek dbakx9

    (g) 8684, (o) 86

    874, (m) (x1)=

    =. _kljvk tck orgm`kts hrjl (g) (3g)?, (o) (6go)=, (m) 6(go)=, (a) (8xy)1,

    1. ]dlpedhy (g) 7;x?(x=), (o) =x?(;x), (m) 73x7(=x1).

    ;. ]dlpedhy (g) ;x(x=), (o) 1x?(x=), (m) =x6(x1), (a) ?x3(x77), (k) ;x?(=x4)

    Gbswkrs

    ?. (g) 878, (o) 87?, (m) x7?

    =. (g) 81g?, (o) =1=g=o=, (m) 6g=o=, (a) 7?48x1y1

    1. (g) 7;x;, (o) 7;x=, (m) ;1x=

    ;. (g) ;x1

    , (o) 1x;

    , (m) =x77

    , (a) ?x74

    , (k) 7;x77

    ?3 CKEL (?>>;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    =. ^jeybjldge kxprkssdjbsGb dlpjrtgbt frjup jh lgtcklgtdmge kxprkssdjbs wcdmc usk dbadmks grk `bjwb gs pjeybjldges.Kxglpeks jh pjeybjldges grk

    1x= + ?x? + =x

    6, x? +x, 76

    ?t+ 6t1, z

    z=

    Bjtdmk tcgt tcky grk gee mjbstrumtka usdbf bjb-bkfgtdvk wcjek bulokr pjwkrs jh tck vgrdgoek. _kmgeetcgt x> < 7 gba sj tck bulokr6 gppkgrdbf db tck rst kxprkssdjb mgb ok tcjufct jh gs6x>.]dldegrey tck 76 gppkgrdbf db tck tcdra kxprkssdjb mgb ok rkga gs 76t>.

    @ky ^jdbt 3

    ^jeybjldges

    G pjeybjldge kxprkssdjb tg`ks tck hjrl

    g>+ g7x+g?x? +g=x

    = +. . .+gbxb

    wckrkg>,g7,g?, g=, . . . gb grk gee mjbstgbts mgeeka tckmjkmdkbtsjh tck pjeybjldge. Qck bulokrg> ds gesj mgeeka tck mjbstgbt tkrl. Qck cdfckst pjwkr db g pjeybjldge ds mgeeka tck akfrkkjh tckpjeybjldge.

    ^jeybjldges wdtc ejw akfrkks cgvk spkmdge bglks gba suosmrdpt bjtgtdjb ds jhtkb bjt bkkaka9

    ^jeybjldge Akfrkk Bglkgx= +ox? +mx+a = muodm

    gx? +ox+m ? qugargtdmgx+o 7 edbkgr

    g > mjbstgbt

    Qgs`s`Vcdmc jh tck hjeejwdbf kxprkssdjbs grk pjeybjldges: Fdvk tck akfrkk jh tcjskwcdmc grk.

    (g) =x? + 1x + ?, (o) 7

    x+ 7, (m)

    x, (a) ?t+ 1, (k)

    =x? +1

    x+ ?.

    _kmgee tcgt g pjeybjldge kxprkssdjb lust mjbtgdb jbey tkrls dbvjevdbf bjb-bkfgtdvkwcjek bulokr pjwkrs jh tck vgrdgoek.

    Fdvk yjur gbswkrs oy rdbfdbf tck mjrrkmt wjra (yks/bj) gba stgtdbf tck akfrkk dhdt ds g pjeybjldge.

    CKEL (?>>;)9]kmtdjb 7.?9 Dbadmks

    ?4

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    Tjur sjeutdjb

    pjeybjldge akfrkk

    (g) =x? + 1x+ ? yks bj

    (o) 7x+ 7

    yks bj

    (m)

    x yks bj

    (a) ?t+ 1 yks bj

    (k) =x? +1

    x+ ? yks bj

    Gbswkr(g) yks9 pjeybjldge jh akfrkk ?, mgeeka g qugargtdm (o) bj (m) bj

    (a) yks9 pjeybjldge jh akfrkk 7, mgeeka edbkgr (k) bj

    Kxkrmdsks

    7. ]tgtk wcdmc jh tck hjeejwdbf grk edbkgr pjeybjldges, wcdmc grk qugargtdm pjeybjldges, gba wcdmcgrk mjbstgbts.

    (g) x, (o) x? +x+ =, (m) x? 7, (a) = x, (k) 6x ?, (h) 7?

    ,

    (f) 7?x+ =1 , (c) = 7?x?.?. ]tgtk wcdmc jh tck hjeejwdbf grk pjeybjldges.

    (g)? 7, (o) x7/? 6x?, (m) 7x

    , (a) 74.

    =. Vcdmc jh tck hjeejwdbf grk pjeybjldges :

    (g) 1t+ 76, (o) 7

    ?7

    ?t, (m) 7;, (a) t? =t+ 6, (k) 7

    t?+

    7

    t+ 6

    1. ]tgtk tck akfrkk jh kgmc jh tck hjeejwdbf pjeybjldges. Hjr tcjsk jh ejw akfrkk, fdvk tckdr bglk.

    (g) ?t= + 6t?, (o) 6t6 + 71t= ?t?, (m) 6x+ ?,(a) x? + =x+ ?, (k) ? =x x?, (h ) 1?

    Gbswkrs

    7. (g), (a), (k) gba (f) grk edbkgr. (o), (m) gba (c) grk qugargtdm. (h) ds g mjbstgbt.

    ?. (g) ds g pjeybjldge, (a) ds g pjeybjldge jh akfrkk >. (o) gba (m) grk bjt pjeybjldges.

    =. (g) (o) (m) gba (a) grk pjeybjldges.

    1. (g) =, muodm, (o) 6, (m) 7, edbkgr, (a) ?, qugargtdm, (k) ?, qugargtdm, (h) >, mjbstgbt.

    => CKEL (?>>;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    1. Bkfgtdvk dbadmks]jlktdlks g bulokr ds rgdska tj g bkfgtdvk pjwkr. Qcds ds dbtkrprktka gs hjeejws9

    @ky ^jdbt 4

    Bkfgtdvk ^jwkrs

    gl < 7

    gl, gl 7

    ]jeutdjb

    (g) ?= < 7

    ?= ?

    Tjur sjeutdjb

    (g) 7

    t1 >;)9]kmtdjb 7.?9 Dbadmks

    =7

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    Tjur sjeutdjb

    (o) 76= > jr>.>7

    Qgs`s`]dlpedhy

    g3 g6g1

    [sk tck rst egw jh dbadmks tj sdlpedhy tck bulkrgtjr9

    Tjur sjeutdjbg3 g6

    g1 >;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    Qgs`s`]dlpedhy

    l4 l?l=

    Hdrst sdlpedhy tck bulkrgtjr usdbf tck rst egw jh dbadmks9

    Tjur sjeutdjbl4 l?

    l= 7, (o) 7>=, (m) 7>1

    ?. ]dlpedhy gs lumc gs pjssdoek9

    (g) x=x?, (o) t1

    t=, (m)

    y?

    y8.

    Gbswkrs

    7. (g) 77>

    < >.7, (o) 77>=

    < >.>>7, (m) 77>1

    < >.>>>7.

    ?. (g) x7 >;)9]kmtdjb 7.?9 Dbadmks

    ==

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    ;. Hrgmtdjbge dbadmks]j hgr wk cgvk uska dbadmks tcgt grk wcjek bulokrs. Vk bjw mjbsdakr hrgmtdjbge pjwkrs. Mjbsdakrtck kxprkssdjb (78

    7

    ? )?. [sdbf tck tcdra egw jh dbadmks, (gl)b < glb, wk mgb wrdtk

    (787

    ? )? < 787

    ?? < 787 < 78

    ]j 787

    ? ds g bulokr wcdmc wckb squgrka kquges 78, tcgt ds 1 jr1. Db jtckr wjras 78 7? ds g squgrkrjjt jh 78. Qckrk grk gewgys twj squgrk rjjts jh g bjb-zkrj pjsdtdvk bulokr, gba wk wrdtk 78

    7

    ? < 1

    @ky ^jdbt 7>

    Db fkbkrge g7

    ? ds g squgrk rjjt jhg g >

    ]dldegrey

    (37

    = )= < 37

    == < 37 < 3

    sj tcgt 37

    = ds g bulokr wcdmc wckb muoka kquges 3. Qcus 37

    = ds tck muok rjjt jh 3, tcgt ds =

    3,bglkey ?. Kgmc bulokr cgs jbey jbk muok rjjt, gba sj

    37

    = < ?

    Db fkbkrge

    @ky ^jdbt 77

    g7

    = ds tck muok rjjt jhg

    Ljrk fkbkrgeey wk cgvk

    @ky ^jdbt 7?

    Qck btc rjjt jhg ds akbjtka oy g7

    b .

    Vckb g 5> tck btc rjjt jbey kxdsts dhb ds jaa.

    Dhg 2> tck pjsdtdvk btc rjjt ds akbjtka oy b

    g

    Dhg 5> tck bkfgtdvk btc rjjt ds b|g|

    =1 CKEL (?>>;)9Vjr`ojj` 79 Ogsdm Gefkorg

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    Tjur mgemuegtjr wdee ok goek tj kvgeugtk hrgmtdjbge pjwkrs, gba rjjts jh bulokrs. Mckm` tcgt yjumgb jotgdb tck rksuets jh tck hjeejwdbf Kxglpeks jb yjur mgemuegtjr, out ok gwgrk tcgt mgemuegtjrsbjrlgeey fdvk jbey jbk rjjt wckb tckrk lgy ok jtckrs.

    Kxglpek ??Kvgeugtk (g) 7117/?, (o) 7?;7/=

    ]jeutdjb

    (g) 7117/? ds g squgrk rjjt jh 711, tcgt ds7?.(o) Bjtdbf tcgt ;= < 7?;, wk skk tcgt 7?;7/= < =

    7?; < ;

    Kxglpek ?=Kvgeugtk (g) =?7/;, (o) =??/;, (m) 3?/=.

    ]jeutdjb

    (g) =?7

    ; ds tck ;tc rjjt jh =?, tcgt ds ;

    =?. Bjw ?; < =? gba sj ;

    =? < ?.

    (o) [sdbf tck tcdra egw jh dbadmks wk mgb wrdtk =?

    ?/;

    < =?

    ?7;

    < (=?

    7

    ;

    )

    ?

    . Qcus=??/; < ((=?)7/;)? < ?? < 1

    (m) Bjtk tcgt 37/= < ?. Qckb

    3?

    = < 3?7

    = < (37/=)? < ?? < 1

    Bjtk tck hjeejwdbf getkrbgtdvks9

    3?/= < (37/=)? < (3?)7/=

    Kxglpek ?1Vrdtk tck hjeejwdbf gs g sdlpek pjwkr wdtc g sdbfek dbakx9

    (g)

    x;, (o) 1

    x=.

    ]jeutdjb

    (g)

    x; < (x;)7

    ? . Qckb usdbf tck tcdra egw jh dbadmks wk mgb wrdtk tcds gs x;7

    ? ;)9]kmtdjb 7.?9 Dbadmks

    =;

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    Kxglpek ?;

    ]cjw tcgt z7/? < 7

    z.

    ]jeutdjb

    z7/? < 7

    z7/? >>>>7=76 (1 s.h.), (o) >.187= (1 s.h.),= (g) g7?.?;, (o) z7, (m) z=, (a) g7/8, (k) z=/7>

    1 (g) x7?, (o) x=/1, (m) x7/1

    CKEL (?>>;)9]kmtdjb 7.?9 Dbadmks

    =6

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    8. ]mdkbtdm bjtgtdjbDt ds jhtkb bkmkssgry tj usk vkry egrfk jr vkry slgee bulokrs sumc gs 63>>>>>> gba >.>>>>>>=1.]mdkbtdm bjtgtdjbmgb ok uska tj kxprkss sumc bulokrs db g ljrk mjbmdsk hjrl. Kgmc bulokr dswrdttkb db tck hjrl

    g 7>bwckrk g ds g bulokr oktwkkb 7 gba 7>. Vk mgb lg`k usk jh tck hjeejwdbf hgmts9

    7> < 7>7, 7>> < 7>?, 7>>> < 7>= gba sj jb

    gba

    >.7 < 7>7, >.>7 < 7>?, >.>>7 < 7>= gba sj jb.

    Hjr kxglpek,

    tck bulokr ;>>> mgb ok wrdttkb; 7>>> < ; 7>=

    tck bulokr 1>= mgb ok wrdttkb1.>= 7>> < 1.>= 7>?

    tck bulokr >.>>4 mgb ok wrdttkb4 >.>>7 < 4 7>=Hurtckrljrk, tj luetdpey g bulokr oy 7>b tck akmdlge pjdbt ds ljvka bpegmks tj tck rdfct dhbds gpjsdtdvk dbtkfkr, gba bpegmks tj tck ekht dhb ds g bkfgtdvk dbtkfkr. (Dh bkmkssgry gaadtdjbge zkrjs grkdbskrtka tj lg`k up tck rkqudrka bulokr jh adfdts okhjrk tck akmdlge pjdbt.)

    Qgs`s`Vrdtk tck bulokrs >.>>863 gba 7?=1;8.6 db smdkbtdm bjtgtdjb.

    Tjur sjeutdjb

    Gbswkr

    >.>>863 < 8.63 7>= 7?=1;8.6 < 7.?=1;86 7>;

    Kbfdbkkrdbf mjbstgbts

    Lgby mjbstgbts gppkgrdbf db kbfdbkkrdbf mgemuegtdjbs grk kxprksska db smdkbtdm bjtgtdjb. Hjr kxglpektck mcgrfk jb gb kekmtrjb kquges 7.8 7>74 mjuejlo gba tck spkka jh edfct ds = 7>3 l s7.Gvjfgarjs mjbstgbt ds kquge tj 8.>?= 7>?8 gba ds tck bulokr jh gtjls db jbk `dejljek jh gbkeklkbt. Mekgrey tck usk jh smdkbtdm bjtgtdjb gvjdas wrdtdbf ekbftcy strdbfs jh zkrjs.

    Tjur smdkbtdm mgemuegtjr wdee ok goek tj gmmkpt bulokrs db smdkbtdm bjtgtdjb. Jhtkb tck Kouttjbds uska gba g bulokr ed`k 1.? 7>6 wdee ok kbtkrka gs 1.?K6. Bjtk tcgt7>K1lkgbs7> 7>1, tcgtds 7>;. Qj kbtkr tck bulokr 7>= sgy, yju wjuea `ky db 7K=. Kbtkrdbf pjwkrs jh 7> dbmjrrkmtey ds gmjlljb mgusk jh krrjr. Tju lust mckm` cjw yjur pgrtdmuegr mgemuegtjr gmmkpts bulokrs db smdkbtdmbjtgtdjb.

    =3 CKEL (?>>;)9Vjr`ojj` 79 Ogsdm Gefkorg

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  • 8/13/2019 1 2 Indices

    19/19

    Qck hjeejwdbf Qgs` ds aksdfbka tj mckm` tcgt yju mgb kbtkr bulokrs fdvkb db smdkbtdm bjtgtdjb dbtjyjur mgemuegtjr.

    Qgs`s`[sk yjur mgemuegtjr tj ba 1.? 7>= =.8 7>1.

    Tjur sjeutdjb

    1.? 7>= =.8 7>1 8

    Kxkrmdsks

    7. Kxprkss kgmc jh tck hjeejwdbf bulokrs db smdkbtdm bjtgtdjb9

    (g) 1;, (o) 1;8, (m) ?>64, (a) 6>>>>>>, (k) >.7, (h) >.>=1,

    (f) >.>43;8

    ?. ]dlpedhy 8

    7>?1

    7.=

    7>78

    Gbswkrs

    7. (g) 1.; 7>7, (o) 1.;8 7>?, (m) ?.>64 7>=, (a) 6 7>8, (k) 7 7>7,

    (h) =.1 7>?, (f) 4.3;8 7>?

    ?. 6.3 7>3

    CKEL (?>>;)9 =4

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