paper 3 (class xii)

Upload: nilesh-gupta

Post on 10-Apr-2018

218 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/8/2019 Paper 3 (Class XII)

    1/16

    OHTCFYB PMHLXMJHO WYFQTMCMJ XFKMJM

    WYMDQHDB WMWBY$ 4

    DNMTT%SHH

    LBJBYMN HJTQYRDQHFJT=* Qcb ]rbtqhfj wmwby dfjthtqt f` q|f wmyqt #ifqc dfjqmhj fjnx ernqhwnb dcfhdb }rbtqhfj( `fy =77

    emyot* Qcbyb |hnn ib `fry tbdqhfjt hj Wmyq%H #bmdc dfjqmhjhjl 97 }rbtqhfjt( `fry tbdqhfjt hj Wmyq%HH#bmdc dfjqmhjhjl =7 }rbtqhfjt(* Mjt|by mjx QCYBB f` qcb fry tbdqhfjt hj Wmyq%H mja mjx Q\F f`qcb fry tbdqhfjt hj Wmyq%HH*

    9* Qcb }rbtqhfj wmwby DFAB ht wyhjqba fj qcb yhlcq cmja qfw dfyjby fj qcht tcbbq f` qcht iffonbq*

    4* Qcb dfewfthqhfj f` qcb }rbtqhfj wmwby ht lhpbj hj qcb qminb ibnf| ;

    T Jf* Trikbdq Wmyq%H Wmyq%HH

    =Emqcbemqhdt 97 }rbtqhfjt % = emyo bmdc =7 }rbtqhfjt % 9 emyo bmdc

    9Wcxthdt 97 }rbtqhfjt % = emyo bmdc =7 }rbtqhfjt % 9 emyo bmdc

    4Dcbehtqyx 97 }rbtqhfjt % = emyo bmdc =7 }rbtqhfjt % 9 emyo bmdc

    1Ihfnflx 97 }rbtqhfjt % = emyo bmdc =7 }rbtqhfjt % 9 emyo bmdc

    1* Qcb mjt|by wmwby ht emdchjb ybmaminb* Af jfq fylbq qf ebjqhfj xfry wmwby dfab mja Yfnn Jreibyjbmqnx mja dnbmynx hj qcb inmjo twmdb wyfphaba hj qcb Fikbdqhpb Ybtwfjtb Tcbbq #FYT(&Mjt|byTcbbq*

    2* @fy bmdc }rbtqhfj. hjahdmqb xfry mjt|by ix hnnhjl qcb dfyybtwfjahjl fpmn |hqc m CI wbjdhn fjnx*

    0* @fy bmdc }rbtqhfj qcbyb |hnn ib `fry dcfhdbt lhpbj mja fjnx fjb f` qcbe ht qcb dfyybdq mjt|by* @hnn fjnx

    fjb fpmn wby }rbtqhfj* H` xfr emyo efyb qcmj fjb fpmn. hq |hnn ib dfjthabyba mt mj hjdfyybdq mjt|by*

  • 8/8/2019 Paper 3 (Class XII)

    2/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj =

    WMYQ%H #= Emyo(EMQCBEMQHDT

    =* Trwwftb qcb tb}rbjdb m=. m9. m4 ****** ht mj myhqcebqhd wyflybtthfj f` ahtqhjdq jreibyt trdc qcmq qcbtb}rbjdb m

    =. m

    9. m

    1.m

    3****** ht m lbfebqyhd wyflybtthfj* Qcb dfeefj ymqhf f` qcb lbfebqyhd wyflybtthfj ht ;

    #M( 9 #I( 1 #D( m=

    #A( jfq abqbyehjminb

    9* Qcb wfthqpb hjqblby o fy |chdc #=7=(o9o-ht m emshere ht ;

    #M( 8 #I( =7 #D( == #A( =7=

    4* Nbq w#s( 5 m7/ m

    =s / *******/ m

    jsj ib m {byf wfnxjfehmn |hqc hjqblby dfb``hdhbjqt* H` w# 049 ( 5 7. qcb

    temnnbtq wftthinb pmnrb f` j ht ;

    #M( 3 #I( 0 #D( 1 #A( 9

    1* Qcybb wnmxbyt wnmx m qfqmn f` 8 lmebt* Hj bmdc lmeb. fjb wbytfj |hjt mja qcb fqcby q|f nftb ? qcb |hjjby

    lbqt 9 wfhjqt mja qcb nftbyt lbq = bmdc* Qcb jreiby f` |mxt hj |chdc qcbx dmj wnmx mnn qcb 8 lmebt mja

    `hjhtc bmdc |hqc m {byf tdfyb ht ;

    #M( 31 #I( =037 #D(

  • 8/8/2019 Paper 3 (Class XII)

    3/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj 9

    ==* Ab`hjb m `rjdqhfj ` ; Y Y lhpbj ix ;

    `#s( 5

    7s`fy.imss

    7s`fy.s

    sthj

    9

    9

    Trwwftb #s( ah``bybjqhminb fj Y* Qcbj.#M( m 57. i 5 7 #I( m 5 =. i 5 7 #D( m 5 7. i 5 = #A( m 5 =. i 5 =

    =9* Qcb tcfyqbtq ahtqmjdb `yfe #7. 4( qf qcb wmymifnm x9 5 1s ht ;

    #M( 9 #I( 9 #D( 2 #A( 2

    =4* Qbj qyrdot. jreibyba = qf =7. myb dmyyxhjl wmdobqt f` trlmy* Bmdc wmdobq |bhlct bhqcby 888 let fy =777let mja bmdc qyrdo dmyyhbt fjnx qcb wmdobqt b}rmn |bhlcqt* Qcb dfeihjba |bhlcq f` = wmdobq tbnbdqba`yfe qcb hytq qyrdo. 9 wmdobqt yfe qcb tbdfja. 1 wmdobq yfe qcb qchya. mja tf fj mja 98 wmdobqt yfe qcbqbjqc qyrdo ht=7993

    jaa

    =#I(

    eaa

    =5

    jaa

    =

    #D( ea

    a

    =:

    jaa

    =#A( jf ybnmqhfjtchw dmj ib abqbyehjba

    97* Qcb jreiby f` ybnmqhfj Y yfe mj e%bnbebjq tbq M qf mj j%bnbebjq tbq I tmqht`xhjl qcb dfjahqhfj ;#m. i

    =( Y. #m. i

    9( Y i

    =5 i

    9`fy m M. i

    =. i

    9 ht ;

    #M( je

    #I( 9e / j

    9e

    9j

    #D( ej #A( #j / =(e

  • 8/8/2019 Paper 3 (Class XII)

    4/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj 4

    WCXTHDT

    9=* Qcb ybnmqhfj Dw D

    p5 Y#D

    w. D

    p; Efnmy twbdh`hd cbmqt mq dfjtqmjq wybttryb. pfnreb( ht bsmdqnx qyrb fy ;

    #M( mj habmn efjf%mqfehd lmt #I( mjx habmn lmt. |cbqcby efjf%ahm wfnx mqfhed#D( mjx ybmn lmt mifpb hqt dyhqhdmn qbewbymqryb #A( mnn ybmn lmtbt

    99* Qcb efnbdrnbt f` mhy hj qcb yffe qcmq xfr myb thqqhjl myb mnn bswbyhbjbhjl qcb `fydb f` lymphqx qbjahjl qf

    iyhjl qcbe af|j* Qcb efnbdrnbt myb mntf yb}rbjqnx mja ymjafenx rjabylfhjl dfnnhthfjt. |chdc qbja qffwwftb qcb b``bdq f` `mnn rjaby lymphqx* Qcb abjthqx f` mhy ht jbmynx rjh`fye qcyfrlcfrq qcb yffe ibdmrtb#M( qcb emtt f` qcb efnbdrnbt ht pbyx temnn#I( qcb lymphqmqhfjmn wfqbjqhmn bjbylx elc ht trdc nbttby qcmj qcb mpbymlb qcbyemn bjbylx oQ*#D( qcb lymphqmqhfjmn wfqbjqhmn bjylx elc ht ertc lybmqby qcb qcb mpbymlb qcbyemn bjbylx oQ*#A( elc ht jbmynx f` qcb tmeb emljhqrab mt oQ. |chdc ybtrnqt hj qcb dmjdbnnmqhfj f` qcb q|f fwwfthjl`mdqfyt*

    94* M wmymnnbn wnmqb dmwmdhqfy ht dcmylba rnnx ix rthjl m imqqbyx* Qcbj |hqcfrq ahtdfjjbdqhjl qcb imqqbyx. qcbwnmqbt myb efpba ryqcby mwmyq* Qcbj.#M( qcb dcmylb fj qcb dmwmdhqfy hjdybmtbt#I( qcb pfnqmlb ah``bybjdb ibq|bbj qcb wnmqbt abdybmtbt#D( qcb dmwmdhqmjdb hjdybmtbt

    #A( qcb bnbdqyftqmqhd bjbylx tqfyba hj qcb dmwmdhqfy abdybmtbt

    91* Qcb hpb thabt f` m yblrnmy wbjqmlfj myb ybwybtbjqba ix pbdqfyt=M

    .

    9M

    .4M

    .

    1M

    mja2M

    . hj dxdnhd fyaby

    mt tcf|j* Dfyybtwfjahjl pbyqhdbt myb ybwybtbjqba ix=I

    .

    9I

    .4I

    .

    1I

    mja2I

    aym|j yfe qcb dbjqyb f`

    qcb wbjqmlfj*

    M=M9

    M4

    M

    M2

    I=

    I9

    I4

    I1

    I2

    Qcbj9I

    /

    4I

    /1I

    /

    2I

    5

    #M(=M

    #I( =M

    #D(

    =I

    #A( =I

    92* @fry ebnmnnhd wnmqbt bmdc f` try`mdb mybm #f` fjb thab( M. myb wnmdba mq m ahtqmjdb a mwmyq yfe bmdc fqcby*Qcb q|f frqby wnmqbt myb dfjjbdqba qf m wfhjq W mja qcb q|f hjjby wnmqbt qf mjfqcby wfhjq ] mt tcf|j hj`hlryb*

    W ]

    Qcbj qcb dmwdhqmjdb f` qcb txtqbe ht

    #M(a9

    M7 #I(

    a

    M7 #D(

    a

    M9 7 #A(

    a

    M4 7

    90* M wyflybtthpb |mpb qympbnnhjl hj wfthqpb s%ahybdqhfj lhpbj ix x 5 m dft #os q( ebbqt m abjtby try`mdb mqs 5 7. q 5 7* Qcb yb`nbdqba |mpb ht qcbj lhpbj ix#M( x 5 m thj#os ms( #I( x 5 m dft#os / ms( #D( x 5 m thj #q os( #A( x 5 m dft #os q(

    9

  • 8/8/2019 Paper 3 (Class XII)

    5/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj 1

    93* Mj habmn ahmqfehd lmt ht cbmqba mq dfjtqmjq wybttryb* Qcb ymqhf f` qcb |fyo afjb qf qcb cbmq trwwnhba ht

    #M(2

    4#I(

    2

    9#D(

    I mja M D > I M #A( D > M > I mja I M > M D

    33* Q|f wfhjqt myb ymjafenx dcftbt fj qcb dhydre`bybjdb f` m dhydnb f` ymahrt y* Qcb wyfimihnhqx qcmq qcbahtqmjdb ibq|bbj qcb q|f wfhjqt ht mq nbmtq y ht b}rmn qf

    #M(9 #I( thj y #D(

    9 #A(

    49

    38* Dfjthaby mn jmqrymn jreibyt |cftb abdhemn bswmjthfj cmt fjnx qcbj bpbj ahlhqt 7. 9. 1. 0. 3* Trwwftbqcbtb myb myymjlba hj hjdybmthjl fyaby* H` m

    jabjfqbt qcb j%qc jreiby hj qcht tb}rbjdb. qcbj

    nhej

    nfl mj

    nflj b}rmnt ;

    #M( 7 #I( nfl2=7 #D( nfl

    9=7 #A( 9

    87* Qcb tre f` mnn mitfnrqb pmnrbt f` qcb ah``bybjdbt f` qcb jreibyt =. 9. 4*******. j. qmobj q|f mq m qheb.

    h*b*

    jhk

    kh b}rmnt ;

    #M( =j4 #I( j4 #D( =j4 #A( 9j4

  • 8/8/2019 Paper 3 (Class XII)

    12/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj ==

    WCXTHDT

    8=* M twcbyhdmn dmphqx f` ymahrt y ht dmypba frq f` m rjh`fye tfnha twcbyb f` ymahrt Y mt tcf|j hj qcb hlryb*

    Yy

    Qcb ahtqmjdb f` qcb dbjqby f` emtt f` qcb ybtrnqhjl ifax yfe qcmq f` qcb tfnha twcbyb ht lhpbj ix

    #M(9

    yY #I(

    9

    yY #D( 7 #A(

    99

    4

    yYyY

    y

    89* M wnmjf%dfjpbs nbtt emab f` emqbyhmn f` yb`ymdqhpb hjabs |hqc ymahrt f` drypmqryb Y ht thnpbyba fj qcbdrypba thab* Cf| my m|mx yfe qcb nbjt%ehyyfy ertq xfr wnmdb m wfhjq fikbdq tf qcmq qcb hemlb dfhjdhabt

    |hqc qcb fikbdq 6

    #M(

    Y#I( Y #D(

    =

    Y

    #A(Y

    84* j efnbt f` m pmj aby \mtnt lmt fibxhjl qcb b}rmqhfj f` tqmqb

    9

    9

    P

    mjW #P ji( 5 jYQ. |cbyb m mja i myb

    lmt abwbjabjq dfjtqmjqt. ht emab qf rjabylf m dxdnhd wyfdbtt qcmq ht abwhdqba ix m ybdqmjlnb hj qcb WP

    ahmlyme mt tcf|j hj qcb `hlryb* \cmq ht qcb cbmq mitfyiba ix qcb lmt hj fjb dxdnb6

    W

    W=

    W9

    P9P= P

    #M( j#W= W

    9( #P

    9 P

    =( #I( #W

    = W

    9( #P

    9 P

    =(

    #D(

    99

    9

    99=

    9

    =P

    mjW

    P

    mjW #P

    = P

    9( #A(

    99

    9

    99=

    9

    =P

    mjW

    P

    mjW #P

    9 P

    =(

    81* @fy |cmq pmnrb f` qcb ybthtqfy S |hnn qcb b}rhpmnbjq ybthtqmjdb f` qcb q|f dhydrhqt tcf|j ib qcb tmeb 6

    s0s 0s 0s

    Y Y Y Y

    0s 0s 0s

    Y Y Y Y

    s0s

    Y

    #M( Y #I( 0Y #D( 9Y #A(9

    =2 Y

  • 8/8/2019 Paper 3 (Class XII)

    13/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj =9

    82* M tfnha rjh`fye twcbyb cmphjl m emtt E. ymahrt Y. mja efebjq f` hjbyqhm f`2

    9EY9 yfnnt af|j m wnmjb

    hjdnhjba mq mj mjlnb qf qcb cfyh{fjqmn tqmyqhjl yfe ybtq* Qcb dfb``hdhbjq f` tqmqhd yhdqhfj ibq|bbj qcbtwcbyb mja wnmjb ht * Qcbj.#M( qcb twcbyb |hnn mn|mxt yfnn |hqcfrq tnhwwhjl#I( qcb twcbyb |hnn mn|mxt tnhab

    #D( qcb twcbyb |hnn yfnn |hqcfrq tnhwwhjl fjnx h` thj 9

  • 8/8/2019 Paper 3 (Class XII)

    14/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj =4

    =77* Dfjthaby = ol f` nh}rha |mqby rjabylfhjl dcmjlb hj wcmtb qf |mqby pmwfry mq =77D* Mq =77D. qcb

    pmwfry wybttryb =*7= =72 Je9 mja qcb nmqbjq cbmq f` pmwfyh{mqhfj ht 99*0 =72 K ol=* Qcb abjthqx f`

    nh}rha |mqby ht =74 ol e4 mja qcmq f` pmwfry ht3*=

    =ol e4* Qcb dcmjlb hj hjqbyjmn bjbylx hj qcht wcmtb

    dcmjlb ht jbmynx*

    #M( =*3 =72 K ol= #I( 97*3 =72 K ol= #D( 99*0 =72 K ol= #A( ==*4 =72 K ol=

    DCBEHTQYX

    =7=* H` qcb wC f` m ehsqryb f` =7 en f` 7*= E JC1FC mja =7 en f` = E JC

    1Dn tfnrqhfj ht 3. qcb wO

    ipmnrb f`

    JC1FC ht qcbj dnftbtq qf

    #M( 4 #I( 2 #D( < #A( 8

    =79* M dxnhjaby f` dffohjl lmt hj m cfrtbcfna dfjqmhjt ==*0 ol f` irqmjb*Qcb qcbyefdcbehdmn ybmdqhfj fy

    qcb dfeirtqhfj f` irqmjb ht

    9D1C=7#l( / =4F9#l( 3DF9#l( / =7C9F#(? C 5

    9023 OK&efn* H` qcb cfrtbcfna jbbat=2777 OK f`bjbylx wby amx. qcb dffohjl lmt dxnhjaby |hnn nmtq fy mifrq

    #M( 01 amxt #I( 12 amxt #D( 97 amxt #A( 42 amxt

    =74* Qcb maahqhfj f` 7*014 l f` m dfewfrja qf 27 en f` ibj{bjb #abjthqx 5 7*3

  • 8/8/2019 Paper 3 (Class XII)

    15/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj =1

    =73*

    FC

    Iy hj DT9 9

    SJmFC

    Eb%HX

    Hj qcb mifpb tb}rbjdb f` ybmdqhfjt. qcb emkfy wyfardqt S mja X myb

    #M( S 5

    FC

    IyX 5

    FEb

    Iy#I( S 5

    FC

    IyX 5

    FCFC

    #D( S 5

    FC

    Iy

    X 5

    FEb

    Iy

    #A( S 5

    FC

    Iy

    X 5

    FC

    FC

    =78* 941Qc87

    lbqt dfjpbyqba qf 970Wi39

    qcyfrlc m tbyhbt f` ymahfmdqhpb abdmx wyfdbttbt* Qcb jreiby f` mnwcm mja

    ibqm wmyqhdnbt nftq hj qcht qymjt`fyemqhfj ybtwbdqhpbnx. myb

    #M( 0 mja 0 #I( 0 mja < #D( 1 mja 9 #A( < mja 0

    ==7* Hj qcb fnnf|hjl qymjt`fyemqhfj

    F FC

    FEb FEb

    F

    Eb

    Ybmlbjq =

    Ybmlbjq 9

    DF C9

    ybmlbjqt = mja 9 myb ;

    #M( C9TF

    1? mnomnhjb OEjF

    1#I( MnDn

    4? n

    9 JmFC

    #D( C4WF

    1? DCDn

    4OFC #A( OFC?DCDn

    4 OFC

    IHFNFLX

    ===* Qcb efab f` mdqhfj f` wbjhdhnnhj ht mt fnnf|t ;

    #M( Hq hjchihqt phymn ybwnhdmqhfj #I( Hq bjcmjdbt heerjhqx

    #D( Hq hjchihqt imdqbyhmn dbnn |mnn txjqcbtht #A( Hq hjchihqt qymjtdyhwqhfj

    ==9* \chdc f` qcb `fnnf|hjl tqmqbebjqt ht qyrb `fy ebhftht 6

    #M( Fjb yfrja f` dcyfeftfeb arwnhdmqhfj mja fjb yfrja f` dbnn ahphthfj

    #I( Fjb yfrja f` dcyfeftfeb arwnhdmqhfj mja q|f yfrjat f` dbnn ahphthfj

    #D( Q|f yfrjat f` dcyfeftfeb arwnhdmqhfj mja fjb yfrja f` dbnn ahphthfj

    #A( Q|f yfrjat f` dcyfeftfeb arwnhdmqhfj mja q|f yfrjat f` dbnn ahphthfj

  • 8/8/2019 Paper 3 (Class XII)

    16/16

    Wyb%`frjamqhfj Dmybby Dmyb Wyflymeebt #WDDW( Ahphthfj =2

    ==4* Hjtqbma f` 4. h` 9 imtbt dfab fy mj mehjf mdha. qcb ablbjbymdx f` dfafjt dfahjl fy qcb tmeb mehjf mdha

    |frna cmpb ;

    #M( hjdybmtba #I( abdybmtba

    #D( ybemhjba qcb tmeb #A( ibbj rjdbyqmhj

    ==1* Lyblfy Ebjabn tcf|ba qcmq rjhq `mdqfyt bshtq hj wmhyt mja bschihq mt afehjmjq%ybdbtthpb ybnmqhfjtchw*

    Qcbtb rjhq mdqfyt. hj efabyj qbyehjfnflx. myb dmnnba ;

    #M( lbjbt #I( mnnbnbt #D( Hfdh #A( abqbyehjmjqt

    ==2* B*dfnh cmt fwqhemn lyf|c qbewbymqryb f` 4