Maths Concept Map 8 CBSE

download Maths Concept Map 8 CBSE

of 21

Transcript of Maths Concept Map 8 CBSE

  • 7/31/2019 Maths Concept Map 8 CBSE

    1/21

    Vtngcjhe ) Nv*r [tm{etvner

    Bmcbe{v Lg{r

    Bhgrr YNN

    Hncer ) Gcjher

    Ghjedtgnb Ep{terrnmc

    Gteg

    Tgvnm R~ldmh

    Tgvnm ) [tm{mtvnmc

    [etbecvgje[tminv ) Hmrr

    Rn h N v v

  • 7/31/2019 Maths Concept Map 8 CBSE

    2/21

    Rn h N v v

    G

    BD

    G

    B

    D W

    [

    T

    p p

    P

    Q

    9; 9;

    ^

    Q

    BD

    :;5;

    9;

    B

    W[

    75;75

    9; 75

    T(nn.

    DG

    (nnn. (n.

    RnfeGcjhe

    1 GD DB BG1 DGB GDB DBGBhmref

    butyelgfe u{ miv`tee hnce rejlecv#

    Bhgrrninbgvnmc

    Rbghece 1FCm vzm rnfer gte ewugh

    Nrmrbeher 1

    FVzm rnfer gte ewughdgre gcjher m{{mrnvevm ewugh rnfer gte ewugh

    Ewunhgvetgh 1

    F

    Ghh rnfer gte ewughegb` gcjhe `gr legrute 9;

    Yetvnber 1G D B

    Gbuve gcjhe 1Fghh gcjher 1,jtegvet v`gc ;herr v`gc >;

    Mdvure gcjhe 1

    Fgc gcjhe 1,jtegvet v`gc >;herr v`gc 70;

    Tnj`v gcjhef 1,Fgc gcjhe ewughr vm >;

    [

    W T

    G

    D BF

    P

    Q^

    G

    B

    :; 0;

    D

    T

    5;

    W

    75;

    R

    7;;

    [

    Epvetnmt gcjhe {tm{etv~ 1[TR < W[T / [WT

    2;

    Rul mi v`e hecjv` mi gc~ vzm rnfer mig vtngcjhe nr jtegvet v`gc v`e hecjv` miv`e v`ntf rnfe#2 bl / 5 bl 3 9 bl9 bl / 5 bl 3 2 bl9 bl / 2 bl 3 5 bl#

    (n. (nn.(nnn.

    2bl2bl

    >;2;

    (n. (nn. (nnn.

    VTNGCJHE ) NV*R [TM[ETVNER

  • 7/31/2019 Maths Concept Map 8 CBSE

    3/21

    Gbuve (; 8 8 >;.w

    Bml{helecvgt~ gcjherVzm gcjher z`mreRul nr >;

    Ru{{helecvgt~ gcjher

    Vzm gcjher z`mrerul nr 70;

    V~{er mi gcjherHnce

    Tnj`v ( >;.w ; 8 8 70;.w

    Rvtgnj v ( < 70;.w

    Teihep (70; 8 70;.w 8

    Bml{heve ( < 29;.w

    hl

    { w

    Hnce 1 `gye ncincnve hecjv`

    [gtghheh hncer 1 ceyet ncvetrebvr

    Ncvetrebvncj hncer

    Rul mi ghh gcjher mcmce rnfe mi hnce nr 70;

    6p

    p 4p

    5p

    5p / 4p / p / 6p < 70;

    2pp

    4p

    5p6p

    Rul mi ghh gcjhegtmucf g {mncv nr 29;

    p / 4p / 2p / 6p / 5p < 29;

    7 4

    62

    9

    0

    5

    :

    Gcjher lgfed~ vtgcryetrgh

    Bmtter{mcfncj gcjher(7 5. (4 9. (2 :. (6 0.

    Ghvetcgve Ncv# gcjher(2 9. (6 5.

    Bm#ncv# Gcjher(6 9. . (2 5.

    Ghvetcgv Epv# gcjhe(7 0. (4 :. Ni hncer gte xxeh v`ec

    Bmtter{mctfncjgcjher gte ewugh

    Ghvetcgvegcjher gte ewugh

    p

    ~

    p / ~

    bmllmc gtl

    Yetvnbghh~ m{{# gcjher

    7

    4

    2

    6

    Gfagbecv gcjher

    M

    G

    D

    B m{{#gtlBmllmc yetvep

    7 < 2 ? 6 < 4

    2;75;

    [ W

    T

    M

    Hncegt {gnt

    vzm gfagbecv gcjherz`mre rul nr 70;

    Rul mi Bm# Ncv#gcjher nr 70;

    [

    l

    h

    74

    7gcf 4 gtegfagbecv gcjher

    HNCER GCF GCJHER

  • 7/31/2019 Maths Concept Map 8 CBSE

    4/21

    Uchnoe vetlr1

    Fniietecv ghjedtgnb igbvmtr

    2p ~ < 2 p p ~4

    2p~ < 2 p ~ ~4

    Rgle ghjedtgnb igbvmtr

    9pgd < 9 p g d

    ,2gdp < ,2 g d p

    gffnvnmc

    Rudvtgbvnmc

    >gd / 5gd < (> / 5. gd < 76gd

    >gd 6gd < (> 6.gd < 5gd

    Yghue mi Ep{terrnmc

    gv p < g _{uv p < g\

    ej 1 yghue mi p ,5p4

    gv p < ,7

    (,7. ,5(,7. #######2c#######

    V~{er mi GhjedtgnbEp{tnrrnmc

    Lmcmlngh Mce vetl 1 ej 1 2p ,4v ? 2

    Dncmlngh Vzm vetlr 1 ej 1 2p ,4v ? 2R/4

    Vtncmlngh V`tee vetlr 1 ej 1 2p / 4~ , 5

    Wugftncmlnghr Imut vetlr 1 ej gd / 4{w / 2tr / v

    p / 2~ ? p / 24

    Rvgcfetf imtl4p / 2~ p / 2p , 5p / 9

    4 4 4

    (n. 2p~ / 5p , 5p / 94 4

    (nn. 9 , 5p / 5p /2p~4 4

    Lgv`elgvnbgh M{etgvnmc

    BmcrvgcvrYgtngdher

    (p ~ qg dv######.

    Nvr yghue nr cmv inpef

    _ / , \

    (4 2 ,6 7;;#########.

    Nv `gr inpef yghue

    Ep{terrnmc 1 >p , 2~p / 7;4

    Vetlr >p4

    ,2~p 7;

    p p ,2 ~

    Igbvmtr Igbvmtr

    Culetnbghbmeiinbnecv (,2.

    Nc ,2p ~4

    Bmeiinbnecv mi

    p ~4

    ,2p4 p ,2~

    nrnr nr nr

    ,2 : ,2p~ p4

    Eyec cm# p

    GHJEDTGNB EP[TERRNMC

  • 7/31/2019 Maths Concept Map 8 CBSE

    5/21

    T`mldur 1

    Vtg{eqnulWugftnhgvetgh 1Rwugte

    [gtghhehmjtglBntbheVtngcjhe

    Tebvgcjhe

    `7

    `4

    G

    F

    B

    D

    f

    ``

    g

    g

    g

    g

    f7

    `7`4

    g ucnv

    `7

    `4

    `

    d

    g

    f

    g ucnv

    t

    T

    4bl

    D

    G

    Bg ucnv D

    G

    Bg ucnv

    `7

    D

    G

    Bg ucnv

    `4

    `2`7

    [

    TW g

    74

    g `7

    6ucnv 4ucnv

    0 ucnv

    4ucnv

    0/4/4[

    W

    TR

    F B

    DG4

    4

    6/4/4

    ej#

    Gteg mi [gv` -yetgcfg`< Gt# [WTR , Gt#GDBF

    h ucnv

    f

    Gteg < g ` < d < b Rw# ucn vr7 4 2

    G < ` (g /d. rw# ucnvr

    Gteg < fngjmcgh rul mi miirevr< f _` / ` \ rw# ucnvr7 4

    Gteg < g ` rw# ucnvr < f f rw# ucnvr7 4

    Gteg < g ` rw# ucnv < d ` rw# ucnvr

    dgre < Gteg bmtter{mcfncj ghvnvufeghvnvufe < Gteg bmtter{mcfncj dgre

    7 4

    Gteg mi r`gfef tejnmc < (5. , (2.{ {4 4

    (g. [gncvncj - z`nve zgr`ncj(d. heyehhncj

    (b. [hmuj`ncj(f. jtgqncj - zgvetncj

    T < 2 / 4 bl < 5t < 2 bl

    Z`ec vm bghbuhgve Gteg 1

    G < g g rw# ucnvRnfe < gteg ucnvf < 4 g

    Gteg < h d rw# ucnvrhecjv` < (Gteg dtegfv`. ucnvdtegfv` < (Gteg hecjv`. ucnvf < h / d

    4 4

    dgre < 4Gteg ghvnvufeghvnvufe < 4Gteg dgre

    74

    74

    74

    26

    ej#

    Gteg < t< Gteg

    {

    {

    4

    4241Rmhye

    %

    %%

    64

    675

    444

    56

    42

    24

    42

    424

    %

    %'

    %

    %%'

    $

    .(

    < 4 29,6 6,4

    < 4 24 4

    < 6 > < 29

    Ep{terr 624 gr {tmfubv mi{mzetr mi {t nle cm#

    7

    22

    >2

    4:2

    564

    7;04

    47946244

    < 4 4 4 4 2 2 2 < 4 26 2

    [tnle igbvmtnrgvnmc

    ej 1 4 / 2 / 6 < 7 / 7 / 7 < 2

    ej 1 (n. 2 < 07 < 2 2 2 2 < 2 p < 5#> 7;5>; < 5#> 7;5>;; < 5#> 7;

    7

    4

    2

    ej 1 7;;;< 7; 7;; < 7; 7; 7;< (45.(45.(45.

    Ep{gcf imtl 1 6:597< 6 7; / : 7; / 9 7; / 7 7;

    6 2 4 ;

    < 4 52 2

  • 7/31/2019 Maths Concept Map 8 CBSE

    12/21

    Bmcjtuecv Inj

    Ewugh R`g{e gcf Ewugh Rnqe

    Btnvetng imt Bmcjtuecbe mi

    Vtngcjhe Nc [WT v`ec d~ b#{#b#v#

    WT < HL < 5bl [ < C

    T < H < 0; T[ < HC

    WT[ LHC W[ < LC

    F

    F F

    gcf HLC

    W < L < 2 ;

    F

    d~ G# R# G# [tm{etv~2;

    T

    [W D

    l [WT < l GDB

    [WT GDB

    Nc tv# gcjhe vtngcjhe*r

    V`e `~{mvecure < (bmrtter{mcfncj.gcf mce rnfe `~{mve cure

    mi g vt ngcjhe gcf mce rnfe mimv`et vtngcjhe

    B

    G

    D Ni G D < GB

    D < B

    [G

    Nc GMD gcf WM[GM < MW

    GMD < WM[MD < M[

    F F

    ej 1

    D B

    d b

    g

    G

    0bl W T

    [

    p

    ~9; 6;

    0;q

    Jn yec 1 G DB [WTvm Incf 1 p~q g db#

    Rm (n. GD < [W (ny. G < [9bl < q g < 0;

    (nn. DB < WT (y. D < W0bl < ~ d < 9;

    (nnn. GB < [T (yn. B < T:bl < p b < 6;

    F F

    9bl 6bl

    NcGD < P^ < 2bl v`ec d~ b#{#b#v#

    DB < PQ < 9bl G < ^

    GB < ^Q < 6bl D < P

    GDB ^PQ B < Q

    F F

    #

    GDB ) P^Q

    _ \

    F F

    d~ R R#R {tm{etv~

    L C

    2;

    TW

    2; 0;

    D B

    G

    ^ Q

    P

    2 rnfer mi g < Bmtter{mcfncj v`teevtngcjhe rnfer mi mv et vtngcjhe

    [ H

    0;

    (Bmtter{mcfncj.

    [ G

    4 rnfer gcf v`e ncbhufefgcjhe mi g vtngcjhe

    (bmtter{mcfncj.< 4 rnfer gcf v`e ncbhufef

    gcjhe mi mv`et vtngcjhe

    D B

    9;

    TW

    9;

    Nc [WT[W < DB < 5bl

    [ < D < 9;

    _ \

    F gcf GDBWT < GB

    T < G

    [T < GD < 6bl W < B

    [WT DBG

    F

    F F d~ R#G#R {tm{et ~v

    ^

    P

    Q

    >;6bl

    5bl

    >;L C

    H

    Nc v# P Q gcf v HLC

    ^ < C < >;`~{# PQ < `~{# HL < 5bl^Q < HC < 6bl

    ^QP CHL

    t t #F F

    F Fd~ T#@#R# {tm{et~#

    V`ec d~ b#{#b#v

    P < L

    Q < HP^ < LC

    2;

    B

    G

    T D B

    G

    F F[WT GDB

    Bmtter{mcfncj yetvep 1 G [ ? D W ? T BBmtter{mcfncj rnfer 1 GD < [W ? DB < WT ? GB < [T

    Bmtter{mcfncj gcjher 1 G [ ? D W ? B T

    GMD WM[

    d~ R#G#R# {tm{etv~

    F F

    Nc GBW gcf GDW

    B < D < >;`~{ WG < ` { WG

    BW < DWGBW GDW

    d~ T#@#R# {tm{etv~

    F F

    F

    F

    # ~ #

    W

    G

    D

    B

    W

    [

    M

    WD

  • 7/31/2019 Maths Concept Map 8 CBSE

    13/21

    Ncvejetr_Ghh cgvutgh culdetr / ; / cejgvnye

    mi bmucvncj culdetr\

    , , , , , , , , , , , , 6 2 4 7 ; 7 4 2 6 , , , , , , , , ,

    Cejgvnye ncvejetr [mrnvnye ncvejetrCenv`et {mrnvnye

    Cmt cejgvnye

    (nn. ,4: , (,2. < , 4: / 2 < 46

    (nnn. 4: (,2. < 4: / 2 < 2;

    (ny. 2 (,4:. < ,2 / 4: < 46

    (y. 4: (2. < 4:2 < 2;

    Z`ec v`e fnynfecf gcf fnynrmtgte mi uchnoe rnjcr v`e wumvnecv nr cejgvnyemv`et znre {mrnvnye Ni g gcf d gte ( / y .v`ec

    (,g. d < (g d.(

    9. 2 . (7:.\ < 2 _49\ < 2 / 49 < 42

    (nnn. Grrmbngvnye {tm{etv~(g. (g / d. / b < g / (d/b.

    ej 1_(2. / (>.\ / 7: < (74. / 7: < 5(2. / _(>. / 7:\ < (2. / 0 < 5

    (ny. Gffnvnye nfecvnv~

    g / ;

  • 7/31/2019 Maths Concept Map 8 CBSE

    14/21

    Fnynrnmc

    ITGBVNMC

    6

    77

    6

    5'

    6

    7

    /

    6

    7

    7mi4

    7

    4

    77

    4

    7'%

    4

    77

    4

    7'%

    744

    7'%

    7mi4

    7

    4mi4

    7

    %%

    %%

    ' 5

    6

    65

    46

    ''

    nr!

    79

    6

    Tr# 29

    Bml{gte culetgvmt

    Fecmlncgvmt rgle

    Culetgvmt rgle

    Bml{gte fecmlncgvmt

    Incf H#B#L# mi fecmlncgvmtrH#B#L# mi (25. < 75

    75

    9

    25

    24?

    75

    5

    52

    57'

    %

    %'

    %

    %

    :

    2

    :

    61ej ;

    2

    5

    6

    51ej 7

    5

    4

    2

    71ej 7

  • 7/31/2019 Maths Concept Map 8 CBSE

    15/21

    Bml{gtncj Febnlghr

    ej 1 Gttgcje nc grbgcfncj mtfet4#;7 7#> ;#>5 2#4 gcf 4#:50

    N B`gcje vm hnoe febnlghr4#;7; 7#>;;;#>5; 2#4;; 2#4;; 4#:50

    NN ztnve bmtter{mcfncj culdetr

    4;7; 7>;; >5;24;;4:50NNN Cmz gte gcjhe>5; 7>;; 4;7; 4:52 24;;

    NY ;#>5 7#> 4#;7 4#:5; 2#4

    Fnynrnmc#

    Febnlghr

    Febnlghr itgbvnmcr

    e

    gtez`mre fecmlncgvmtr gte7;7;;7;; #v#b#ej 1 42 # ;;5

    z`mhe culdet Febnlgh {gtv{gtv

    hnoe febnlghr uchnoe febnlghr

    rgle febnlgh {hgbe5#45 9#0>

    fniietecv febnlgh {hgbe5#45 9#0>2

    Luhvn{hnbgvnmc

    febnlgh d~ febnlgh

    lmye febnlgh {mncv nc v`e culdet vmv`e tnj`v d~ gr lgc~ {hgber gr v`etegte qetmr# myet 7ej ;#52 7; < 5#2

    ;#52 7;; < 52;#52 7;;; < 52;

    (n. Intrv luhvn{h~ gr z`mhe cm

    (nn. Bmucv v`e cm# mi fnjnvr vm v`etnj`v mi v`e febnlgh {mncv

    (ny. [uv febnlgh {mncv nc v`e {tmfubv d~bmucvncj v`e fnjnvr itml v`e tnj`v lmrv {hgbe

    (nnn. Gff v`e cm# mi fnjnvr bmucvef

    ej 1 459# : ;#;;5 7;; < ;# 2;> _4 {hgbe vm v`e heiv\

    d~ z`mhe culdet

    7#5:5 25 < _75:5 25\7;;;

    7

    < _65\ < ;#;657;;;

    7

    d~ febnlgh cm#;#795 d~ 7#5

    7 ;

    7 5

    7 ; ;

    7 9 5,'

    \7 57 9 5_7 ; ;

    7,'

    7 7#;7 ; ;

    7 7 ''

    (n. febnlgh ncvm itgbvnmc

    ej 1 2#:5

    (nn. itgbvnmc ncvm febnlgh

    6

    7 5

    7 ; ;

    2 : 5''

    45#>7;;

    45>

    456

    457>

    6

    7>.n( ''

    %

    %$'

    ;;59#;7;;;

    59

    0745

    0:

    745

    :.nn( ''

    %

    %'

    Rudvtgbvnmc

    Rudvtgbv 1 0#>9 itml 45#7

    b`gcje vm

    76#79

    >9#0

    7;#45

    ) hnoe febnlghr v`ecrudvtgbv hnoe z`mhe cm#

    Gffnvnmc

    ej 1 Gff 2#;7 4#50 gcf 9#>

    6>#74

    >#9

    50#4

    ;7#2 Oee{ febnlgh {mncvr ucfet egb` mv`et

    Ztnve fnjvr nc v`e bmttebv {hgbe yghue bmhulcr

    Gff hnoe z`mhe culdetr#

    Bmcyetv

  • 7/31/2019 Maths Concept Map 8 CBSE

    16/21

    Tgvnmcgh Culdetr

    G culdet v`gv bgc de ep{terref nc v`e imtlw

    { ncvejet

    ncvejetduv w m-

    Gffnvnmc

    Bmcyetv egb` mi v`el ncvm culdet znv`g {mrnvnye fecmlncgvmt#

    _z`ec fecmlncgvmtgte rgle\

    b

    dg

    b

    d

    b

    g.n(

    $'

    5

    6

    5

    :77

    5

    :

    5

    771ej

    )'

    )'

    )

    \fgcfdmi#L#B#HIncf_g

    b

    d

    g.nn( $

    74

    .5(

    0

    2

    74

    5

    0

    2

    1ej

    )

    $

    )

    ')$

    )

    H# B# L# mi 0 gcf 74 < 46

    46

    7>

    46

    .4(.5(2.2( )'

    %)%)

    Gffnvnye Ncyetre mi

    ej 1 Gffnvnye ncyetre mi

    \;w

    .{(

    w

    {ne_

    w

    {nr

    w

    {'

    )$

    )

    >

    6nr

    >

    6.nn(

    4

    75nr

    4

    75.n(

    ))

    fnynfe ncvm 6ewugh {gtvr

    (n. [mrnvnye tgvnmcgh culdet 1{ wgcf dmv` gte {mrnvnye mt cejgvnye

    5

    6?

    5

    21ej

    )

    ))

    (nn. Cejgvnye tgvnmcgh culdet 1{ wgcf dmv` gte `gye m{{mrnve rnjc

    5

    6mt

    5

    21ej

    )

    )

    9

    ;

    0

    ;ej

    w

    {v`e;{Ni.nnn(

    )

    ''

    ejetnc vqetmcm clz`etelw

    l{

    w

    {ghrm

    lw

    l{

    w

    {)'

    ,

    ,'

    %

    %'

    Fnynrnmc

    42

    659

    :-%' ;

    f

    bv`gvrub`

    b

    f

    d

    g

    f

    b

    d

    g

    22

    52

    22

    7; 6

    22

    26

    7:

    54

    26

    22

    7:

    721ej

    ')

    '

    )%'

    ),

    Rudvtgbvnmc

    Gff v`e gffnvnye ncyetre

    *(

    .!/

    )$')

    g

    b

    d

    g

    f

    b

    d

    gne

    : 4

    4 2

    : 4

    2 27 ;

    4 6

    77

    2 9

    5

    4 6

    7 7

    2 9

    5

    2 9

    5itm l

    4 6

    77R u d v t g b v1e j

    ')

    '

    $)

    '(

    .!/

    ))

    )'

    ))

    Luhvn{hnbgvnmc

    [tmfubv mi Tgvnmcgh Cm#

    gvmtrlncfecmmi{tmfubv

    culetgvmtrmi{tmfubv'

    4 0

    2

    0:0

    .5(4.2(

    0

    .5(

    :

    4

    5

    21e j

    '%%

    )%%)'

    )%%

    )

    Luhvn{hnbgvnye ncyetre mi

    ;w{z`ete{

    wnr

    w

    {-

    2

    5nr

    5

    2mibn{tmbghTe1ej

    Rnl{herv (Hmzerv. mt rvgcfgtf imtl

    Ni fecmlncgvmt nr g {mrnvnye ncvejet gcf

    fecmlncgvmt gcf culetgvmt `gyecm bmllmc igbvmt mv`et v`ec 7

    ej 1 Rvgcfgtf imtl mi 5

    4

    .2(75

    .2(9

    nr75

    9 )

    '))

    )

    )

    fnynfe d~ @#B#I mi 9 gcf 75

    Ewunyghecv Tgvnmcgh cm#

    70

    7;

    4>

    45

    >

    5?

    75

    7;

    52

    54

    2

    4ej

    )

    )'

    )%

    )%''

    %

    %'

    ewunyghecv

    Tgvnmcgh cm#

    ewunyghecv

    Tgvnmcgh cm#

    Bml{gtnrmc

    !Vzm {mrnvnye tgvnmcgh culdetr

    bgc de bml{gtef gr itgbvnmcr

    !(n. Bml{gte v`e tgvnmcgh cm#r njcmtncjv`ent cejgvnye rnjcr

    (nn. V`ec teyetre v`e mtfet

    2

    5

    5

    :

    2

    5

    5

    :1ej

    );

    )&7

    4

    7

    :

    41ej 7)

    ! G cejgvnye tgvnmcgh cm# nr ghzg~r herrv`ec {mrnvnye tgvnmcgh cm#

    :

    7:

    ; G [

    7:;

    fnynfe ncvm :ewugh {gtvr

    6

    >.nn(

    )

    ,>

    W D M

    ;6

    >)

    Tgvnmcgh culdet mc culdet hnce

    (n. Vm te{terecv:

    7 :.n(

    22p?.2(

    77>p?77>p.2(?

    p

    >

    77

    21ej )'

    )

    %'%'%)')

    ! Cgvutgh culdetr / z mhe culdetr /ncvejetr / itgbvnmcr gte tgvnmcgh cm#r

    #b#v#e7;;;

    >

    9

    5

    7

    ;

    7

    71ej

    )

    ! G itgbvnmc nr g tgvnmcgh culdet duv g tgvnmcgh culdet lg~ mt lg~ cmv de g itgbvnmc

    ej 1, tgvnmcgh cm# / itgbvnmc ? tgvnmcgh cm duv cmv g itgbvnmc5

    2

    5

    2)

    ! V`ete gte ncincnve tgvnmcgh cm*r devzeec vzm tgvnmcgh cm*r 1

    75

    5

    75

    9

    75

    :

    75

    >

    75

    5

    2

    7?

    75

    >

    5

    2 )7

    )7

    )7

    )"

    )'

    ))')ej 1 Tgvnmcgh Cm# d-z gcf

    5

    2)

    2

    7) ?

  • 7/31/2019 Maths Concept Map 8 CBSE

    17/21

    V`ete nr ewugh ucbetvencv~mi egb` muvbmle mi gc ep{etlecv

    [tmdgdnhnv~ mi gc eyecv G < [ (G.muvbmler{mrrndhemiculdetVmvgh

    GmiigymutncmuvbmlermiCuldet'

    ; [ (G. 78 8[tmdgdnhnv~ mi jevvncj gculdet jtegvet v`gc :

    [tmdgdnhnv~ mi jevvncjVuerfg~ givet Lmcfg~

    RuteB`gcbe

    JmmfB`gcbe

    EyecB`gcbe

    [mmtB`gcbeCm B`gcbe

    ;7-6

    7-42-6

    [tmdgdnhnv~

    Ewughh~ hnoeh~ muvbmler

    Ep{etnlecv

    Rgl{he R{gbe

    MuvbmleFeghr znv` v`e legrutelecv

    mi ucbetvncnv~ mi v`e mbbuttecbe

    mi rmle eyecv nc vetlr mi

    {etbecv mt tgvnm

    Eyecv G dgj bmcvgncr 5 tef dghhr 0 z`nve dghhr 6 jteec dghhrgcf : dhgbodghhr# Ni mce dghh nr ftgzc gv tgcfml v`ec{tmdgdnhnv~ v`gv nv nr 1

    (g. Dhgbo n#e# [(D. >7> itewuecb~ mi > nr 2

    Itewuecb~ Fnrvtndugvnmc Vgdhe

    Legrute mi becvtgh vecfecb~

    _fnynfer v`e fnrvtnduvnmc ncvmvzm ewugh {gtvr\ Ni c nr culdetmi mdretygvnmc

    (n. Z`ec c nr mff lefngc

    < mdretygvnmc#

    276295>52gttegcje nc grbecfncj mtfet74226559>

    v`

    4

    7c*(

    .!/

    $

    6cmdretygvnm4

    7>

    cmdretygvnm4

    7clefngc

    v`

    v`

    '(

    .!/

    $'

    *(.!

    / $'

    (nn. c nr eyec lefngc 0 79 75 76gttegcje 1 0 > 7; 77 74 76 7579

    #4

    md74

    0

    #md4

    0

    Lefngc

    v`v`

    *(

    .

    !/

    $(

    .

    !/

    '4

    #md5#md6 v`v` $

    ruc 45i '0 :75inp '0

    pn i i p

    45

    4:

    40

    2;

    24

    22

    5

    6

    9

    2

    4

    745

    7;0

    76;

    70;

    >9

    99

    5

    ipiP

    0

    %0'

    Rvufecvr

    Wugtveh~

    @ghi ~egth~

    Gr`nr` Gtuc Ogynr` Lg~g Tnvg

    7; 75 74 4; >

    7547797075

    45

    4;

    75

    7;

    5

    Gr`nr` Gtuc Ogynr` Lg~g Tnvg

    Ucjtmu{ef Jtmu{ef

    Culdet Vghh~Lgtor

    Itewuecb~

    7426

    59

    464922

    Culdet Vghh~Lgtor

    Itewuecb~

    ;,7;7;,4;4;,2;2;,6;

    6;,5;

    996

    27

    _V`e yghue z`nb` mbbutr v`e lmrv mt `gr `nj`erv itewuecb~\

    ej 1Culdet

    Itewuecb~

    :

    4

    7;

    7

    77

    7

    74

    2

    72

    4

    7:

    7

    Lmfe < 74 _@nj`erv itewuecb~ < 2\

    Gttg~-gttgcjef fgvg(mtjgcnref fgvg.

    RvgvnrvnbrRbnecbe mi bmhhebvnmc

    {terecvgvnmc ( gcgh~rnr gcf

    ncvet{tevgvnmc mi culetnbgh

    fgvg

    c

    p

    c

    p#########pppp

    nc247 >''

    Legc mi 2 9 > 74 75

    5

    7574>92p

    $' >p '

    Legc

    Wugtvgth~@ghi ~egth~

    Lefngc

    4

    #md74

    c#md

    4

    cv`v`

    *(

    .!/

    $

    (

    .!/

    Lmfe

    IgymutgveBmhmut

    Cm# mi

    Rvufecvr

    62

    Tef Jteec Dhue ^ehhmz

    7> 55 6>

    Mtgcje

    26

    5;

    6;

    2;

    4;

    7;

    Tef Jteec Dhue ~ehhmz mtgcje

    9; Rbghe 1 7 ucnv 1 7; Rvufecvr

    5#774

    7477 '